Mathematical Methods in the Applied Sciences最新文献

{"title":"A Modified Cauchy Problem With Nonlocal Boundary Condition for a Degenerate Hyperbolic Equation","authors":"N. Kakharman,&nbsp;T. SH. Kalmenov","doi":"10.1002/mma.10800","DOIUrl":"https://doi.org/10.1002/mma.10800","url":null,"abstract":"<div>\u0000 \u0000 <p>A new class of initial-boundary value problems with nonlocal conditions on the Newton potential for the case of a hyperbolic equation with characteristic degeneration were set and studied. The a priori estimates of Sobolev norms for the solutions are established. Moreover, some estimates for the standard Bessel functions were established.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9313-9319"},"PeriodicalIF":2.1,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction to “Quantitative Analysis of Total Magnetic Anomaly Maps on Archaeological Sites—Part 2”","authors":"","doi":"10.1002/mma.10773","DOIUrl":"https://doi.org/10.1002/mma.10773","url":null,"abstract":"<p>\u0000 <span>Deniz Toktay, H</span>, <span>Aydoğan, D</span>, <span>Yüksel, FA</span>. <span>Quantitative Analysis of Total Magnetic Anomaly Maps on Archaeological Sites—Part 2</span>. <i>Math Meth Appl Sci.</i> <span>2021</span>; <span>44</span>: <span>13684</span>–<span>13695</span>. https://doi.org/10.1002/mma.7651</p><p>The Acknowledgement section of this paper “The authors would like to express their gratitude to Şevket Dönmez and the excavation crew for enabling us to apply geophysical methods in the excavation site.” contains incomplete information. The sentence “This study includes sections from Hazel Deniz Toktay's PhD thesis titled “Determination of Amasya Oluz Höyük Archaeological Layers by Using Archaeogeophysical Methods” should be added after the first sentence.</p><p>This part should be rewritten as: The authors would like to express their gratitude to Şevket Dönmez and the excavation crew for enabling us to apply geophysical methods at the excavation site. This study includes sections from Hazel Deniz Toktay's PhD thesis titled “Determination of Amasya Oluz Höyük Archaeological Layers by Using Archaeogeophysical Methods.”</p><p>We apologize for this error.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9350"},"PeriodicalIF":2.1,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10773","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A KAM Theorem for a Class of Reversible Systems With a Large Perturbation","authors":"Lu Chen","doi":"10.1002/mma.10780","DOIUrl":"https://doi.org/10.1002/mma.10780","url":null,"abstract":"<div>\u0000 \u0000 <p>In the present paper, for a class of reversible systems with a large nonautonomous perturbation, we prove that there is an invariant torus for almost all given Diophantine frequency vectors. As for application, we also prove that the solution of some finite dimensional reversible systems is bounded for almost all initial data.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9071-9087"},"PeriodicalIF":2.1,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A New Method for Event-Triggered Synchronization of Fractional-Order Delayed BAM Neural Networks in Finite Time","authors":"Shangbin Xu,&nbsp;Hai Zhang,&nbsp;Renyu Ye,&nbsp;Xiang Wu,&nbsp;Jinde Cao","doi":"10.1002/mma.10804","DOIUrl":"https://doi.org/10.1002/mma.10804","url":null,"abstract":"<div>\u0000 \u0000 <p>This article aims to study the finite-time synchronization (FTS) problem of a class of bidirectional associative memory neural networks (BAMNNs) with time delays. Initially, leveraging properties of fractional calculus and common inequality techniques, a novel fractional FTS lemma is rigorously derived, which extends many existing FTS lemmas. Subsequently, an event-triggered control (ETC) mechanism is devised, and with the aid of the newly established FTS lemma, sufficient conditions for achieving FTS in BAMNNs are formulated. Ultimately, the accuracy of the derived results is verified by a computational illustration.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9379-9388"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the Dimensional Invariance of Graphs of Fractal Functions Under Horizontal Nonlinear Variation","authors":"Binyan Yu,&nbsp;Yongshun Liang,&nbsp;Subhash Chandra","doi":"10.1002/mma.10783","DOIUrl":"https://doi.org/10.1002/mma.10783","url":null,"abstract":"<div>\u0000 \u0000 <p>On the basis of our previous work, this paper makes an investigation on whether fractal dimensions of an object with a fractal curve shape will keep invariable under being subjected to horizontal nonlinear variation in this paper. For two fractal continuous functions \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>φ</mi>\u0000 <mo>(</mo>\u0000 <mi>x</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ varphi (x) $$</annotation>\u0000 </semantics></math> and \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>ψ</mi>\u0000 <mo>(</mo>\u0000 <mi>x</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ psi (x) $$</annotation>\u0000 </semantics></math>, it has been proven that the graph of \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>φ</mi>\u0000 <mo>∘</mo>\u0000 <mi>ψ</mi>\u0000 <mo>)</mo>\u0000 <mo>(</mo>\u0000 <mi>x</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ left(varphi circ psi right)(x) $$</annotation>\u0000 </semantics></math> has the same lower and upper Box dimensions as the graph of \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>φ</mi>\u0000 <mo>(</mo>\u0000 <mi>x</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ varphi (x) $$</annotation>\u0000 </semantics></math> when \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>ψ</mi>\u0000 <mo>(</mo>\u0000 <mi>x</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ psi (x) $$</annotation>\u0000 </semantics></math> is a monotonic bi-Lipschitz function with certain basic elementary functions provided. Further, we show that such invariance property also holds for the Hausdorff dimension, the packing dimension, and the Hewitt–Stromberg dimension under certain conditions. Numerical simulations of some concrete examples have also been carried out to corroborate our theoretical results. This work may contribute to the dimensional theory of graphs of fractal functions and have certain practical application significance in physics and other natural sciences.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9108-9125"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Eradicating an Alien Predator Population in a Seasonal Environment","authors":"Sebastian Aniţa,&nbsp;Teodora Baciu,&nbsp;Vincenzo Capasso","doi":"10.1002/mma.10785","DOIUrl":"https://doi.org/10.1002/mma.10785","url":null,"abstract":"<div>\u0000 \u0000 <p>We investigate the problem of eradicating an alien predator population in a seasonal environment. It is expressed as a zero-stabilizability problem with state constraints. The dynamics of the predators is described by a prey–predator system with nonlocal reaction terms and time-periodic rates. First, we are concerned with a control that acts on the predators, in a subset of the relevant habitat. A necessary condition and a sufficient condition for the eradicability (zero-stabilizability) of predators is given in terms of the sign of the principal eigenvalue of an appropriate operator that is not self-adjoint. Next, we investigate the eradicability of predators via controllers of harvesting type which act either on the predator population or on the prey population. Concerning this last approach, the idea is to diminish the prey population to a level at which it cannot sustain the predator population. Some principal eigenvalues will be involved in this investigation as well.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9126-9139"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Prescribed-Time/Fixed-Time Synchronization of Quaternion-Valued Neural Networks: A Method Without Decomposition","authors":"Binzi Yin,&nbsp;Shiguo Peng","doi":"10.1002/mma.10788","DOIUrl":"https://doi.org/10.1002/mma.10788","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, a novel control law is designed for achieving prescribed-time (PAT) and fixed-time (FXT) synchronization of quaternion-valued neural networks (QVNNs) with time-varying delays. Compared with some existing methods, the designed controller can realize the PAT and FXT synchronization simultaneously; that is, the PAT converge rate can be guaranteed without prior research on FXT control. Moreover, ensuring the PAT and FXT synchronization, the controller can be consistent under 1- or 2-norm, while the decomposition technique is not required here. Finally, some numerical examples are given to illustrate the feasibility of our proposed control strategy.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9151-9159"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Well-Posedness, Long-Time Behavior, and Discretization of Some Models of Nonlinear Acoustics in Velocity–Enthalpy Formulation","authors":"Herbert Egger,&nbsp;Marvin Fritz","doi":"10.1002/mma.10753","DOIUrl":"https://doi.org/10.1002/mma.10753","url":null,"abstract":"<p>We study a class of models for nonlinear acoustics, including the well-known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed-point arguments, we establish the existence and uniqueness of solutions that, for sufficiently small data, are global in time and converge exponentially fast to equilibrium. In contrast to previous work, our analysis is based on a velocity–enthalpy formulation of the problem, whose weak form reveals the underlying port-Hamiltonian structure. Moreover, the weak form of the problem is particularly well suited for a structure-preserving discretization. This is demonstrated in numerical tests, which also highlight typical characteristics of the models under consideration.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"8793-8805"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10753","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mixed-Type Multiobjective Nondifferentiable Symmetric Duality Programming Problem Over Arbitrary Cones","authors":"Balram,&nbsp;Shubham Jaiswal,&nbsp;Ramu Dubey","doi":"10.1002/mma.10762","DOIUrl":"https://doi.org/10.1002/mma.10762","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;In the present article, we formulate mixed-type multiobjective nondifferentiable symmetric duality over cone and derive the duality results under \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;K&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ K $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-\u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;C&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;d&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ left(C,rho, dright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-convex and \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;K&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ K $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-\u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;C&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;d&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ left(C,rho, dright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-pseudoconvex. Also, we give non-trivial examples of \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;K&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ K $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-\u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;C&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;d&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ left(C,rho, dright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-convex and \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;K&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ K $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-\u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;C&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;d&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ left(C,rho, dright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-pseudoconvex and show that every \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;K&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ K $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;-\u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;C&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 ","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"8890-8902"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic Analysis of a Three-Dimensional Singular Perturbed Predator–Prey Model With Multiple Factors","authors":"Zhenlei Li,&nbsp;Yue Zhang","doi":"10.1002/mma.10803","DOIUrl":"https://doi.org/10.1002/mma.10803","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, the dynamic properties of a three-dimensional singular perturbed predator–prey model with constant harvest, refuge effect, and cooperative hunt are discussed. The system has different bifurcation phenomena at the boundary equilibrium and the internal equilibrium. For the three-time scale system, the small amplitude oscillations phenomenon is produced when the folded node coincides with the ordinary singularity, and its subsystem produces canard cycle without head when we select \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>z</mi>\u0000 </mrow>\u0000 <annotation>$$ z $$</annotation>\u0000 </semantics></math> as a fixed number. Then we consider the change of two perturbation parameters; the system produces an oscillation phenomenon similar to relaxation oscillation, and with the change of perturbation parameters, the system trajectory appears single cycle, double cycles, and chaos. In addition, we consider the dynamic properties of the subsystem and the influence of stochastic factors on the subsystem.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9359-9378"},"PeriodicalIF":2.1,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}