数学最新文献

{"title":"Ulam–Hyers–Rassias stability of Hilfer fractional stochastic impulsive differential equations with non-local condition via Time-changed Brownian motion followed by the currency options pricing model","authors":"Dimplekumar Chalishajar ,&nbsp;Dhanalakshmi Kasinathan ,&nbsp;Ravikumar Kasinathan ,&nbsp;Ramkumar Kasinathan","doi":"10.1016/j.chaos.2025.116468","DOIUrl":"10.1016/j.chaos.2025.116468","url":null,"abstract":"<div><div>In this paper, a new solution representation and Ulam-Hyer’s Rassias stability of Hilfer fractional stochastic impulsive differential systems (HFSIDEs) with non-local condition via Time-changed fractional Brownian motion (TCFBM) is studied. The wellposedness of solutions are proved in the finite-dimensional space by using fixed point theorem (FPT). Finally, to account for the long-memory property of the spot exchange rate, we offer a novel framework for pricing currency options in line with the TCFBM model.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116468"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Quasi-projective synchronization of discrete-time fractional-order BAM neural networks with uncertain parameters and time-varying delays","authors":"Jianfei Liu ,&nbsp;Hong-Li Li ,&nbsp;Long Zhang ,&nbsp;Haijun Jiang ,&nbsp;Jinde Cao","doi":"10.1016/j.cnsns.2025.108873","DOIUrl":"10.1016/j.cnsns.2025.108873","url":null,"abstract":"<div><div>This paper focuses on the issue of quasi-projective synchronization (Q-PS) of discrete-time fractional-order BAM neural networks (DFBAMNNs) with uncertain parameters and time-varying delays. Initially, on account of categorical discussion, the monotonicity of a class of discrete Mittag-Leffler function is given and rigorously proved. Secondly, based on the monotonicity of Mittag-Leffler function obtained her ein and Caputo fractional difference theory, two Caputo fractional difference inequalities are rigidly demonstrated. Subsequently, based on the inequalities established in this paper and some inequality techniques, sufficient Q-PS conditions are provided for DFBAMNNs with time-varying delays and uncertain parameters under nonlinear feedback controllers. Finally, a numerical simulation example is supplied to reveal the rationality of the findings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108873"},"PeriodicalIF":3.4,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143900210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling memristor switching behavior through phase-delay cluster analysis","authors":"Dmitry Zhevnenko ,&nbsp;Fedor Meshchaninov ,&nbsp;Alexey Belov ,&nbsp;Evgeny Gornev ,&nbsp;Alexey Mikhaylov","doi":"10.1016/j.chaos.2025.116447","DOIUrl":"10.1016/j.chaos.2025.116447","url":null,"abstract":"<div><div>Memristors are promising components of modern microelectronics, yet accurately simulating their switching dynamics remains a challenge due to the complexity of underlying physical processes. This work introduces a novel framework for memristor evolution modeling, incorporating a first-of-its-kind clustering approach based on the state change rate. Our method integrates statistical estimation of the conditional probability for each cluster with the NMRG neural network model to generate realistic time-current switching sequences. We validate our approach using an anionic ZrO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span>/TaO<span><math><msub><mrow></mrow><mrow><mi>x</mi></mrow></msub></math></span>-based memristor, demonstrating that it produces physically plausible switching trajectories. The proposed model offers a promising tool for third-party simulation systems, enabling accurate characterization of memristor behavior.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"197 ","pages":"Article 116447"},"PeriodicalIF":5.3,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143887679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A class of moving boundary problems with an exponential source term","authors":"Julieta Bollati ,&nbsp;Ernesto A. Borrego Rodriguez ,&nbsp;Adriana C. Briozzo ,&nbsp;Colin Rogers","doi":"10.1016/j.nonrwa.2025.104390","DOIUrl":"10.1016/j.nonrwa.2025.104390","url":null,"abstract":"<div><div>This work investigates a class of moving boundary problems related to a nonlinear evolution equation featuring an exponential source term. We establish a connection to Stefan-type problems, for different boundary conditions at the fixed face, through the application of a reciprocal transformation alongside the Cole–Hopf transformation. For specific cases, we derive explicit similarity solutions in parametric form. This innovative approach enhances our understanding of the underlying dynamics and offers valuable insights into the behavior of these systems.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"86 ","pages":"Article 104390"},"PeriodicalIF":1.8,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143887695","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":"Boundary conditions and universal finite‐size scaling for the hierarchical |φ|4$|varphi |^4$ model in dimensions 4 and higher","authors":"Emmanuel Michta, Jiwoon Park, Gordon Slade","doi":"10.1002/cpa.22256","DOIUrl":"https://doi.org/10.1002/cpa.22256","url":null,"abstract":"We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical ‐component model for all integers in all dimensions , for both free and periodic boundary conditions. For , we prove that for a volume of size with periodic boundary conditions the infinite‐volume critical point is an effective finite‐volume critical point, whereas for free boundary conditions the effective critical point is shifted smaller by an amount of order . For both boundary conditions, the average field has the same non‐Gaussian limit within a critical window of width around the effective critical point, and in that window we compute the universal scaling profile for the susceptibility. In contrast, and again for both boundary conditions, the average field has a massive Gaussian limit when above the effective critical point by an amount . In particular, at the infinite‐volume critical point the susceptibility scales as for periodic boundary conditions and as for free boundary conditions. We identify a mass generation mechanism for free boundary conditions that is responsible for this distinction and which we believe has wider validity, in particular to Euclidean (non‐hierarchical) models on in dimensions . For we prove a similar picture with logarithmic corrections. Our analysis is based on the rigorous renormalisation group method of Bauerschmidt, Brydges and Slade, which we improve and extend.","PeriodicalId":10601,"journal":{"name":"Communications on Pure and Applied Mathematics","volume":"88 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143889831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Strong cohomological rigidity of Bott manifolds","authors":"Suyoung Choi ,&nbsp;Taekgyu Hwang ,&nbsp;Hyeontae Jang","doi":"10.1016/j.aim.2025.110305","DOIUrl":"10.1016/j.aim.2025.110305","url":null,"abstract":"<div><div>We show that two Bott manifolds are diffeomorphic if and only if their integral cohomology rings are isomorphic as graded rings. In fact, we prove that any graded cohomology ring isomorphism between two Bott manifolds is induced by a diffeomorphism.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"473 ","pages":"Article 110305"},"PeriodicalIF":1.5,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143882154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups","authors":"James East ,&nbsp;Robert D. Gray ,&nbsp;P.A. Azeef Muhammed ,&nbsp;Nik Ruškuc","doi":"10.1016/j.aim.2025.110288","DOIUrl":"10.1016/j.aim.2025.110288","url":null,"abstract":"<div><div>The purpose of this paper is to introduce a new family of semigroups—the free projection-generated regular ⁎-semigroups—and initiate their systematic study. Such a semigroup <span><math><mtext>PG</mtext><mo>(</mo><mi>P</mi><mo>)</mo></math></span> is constructed from a projection algebra <em>P</em>, using the recent groupoid approach to regular ⁎-semigroups. The assignment <span><math><mi>P</mi><mo>↦</mo><mtext>PG</mtext><mo>(</mo><mi>P</mi><mo>)</mo></math></span> is a left adjoint to the forgetful functor that maps a regular ⁎-semigroup <em>S</em> to its projection algebra <span><math><mi>P</mi><mo>(</mo><mi>S</mi><mo>)</mo></math></span>. In fact, the category of projection algebras is coreflective in the category of regular ⁎-semigroups. The algebra <span><math><mi>P</mi><mo>(</mo><mi>S</mi><mo>)</mo></math></span> uniquely determines the biordered structure of the idempotents <span><math><mi>E</mi><mo>(</mo><mi>S</mi><mo>)</mo></math></span>, up to isomorphism, and this leads to a category equivalence between projection algebras and regular ⁎-biordered sets. As a consequence, <span><math><mtext>PG</mtext><mo>(</mo><mi>P</mi><mo>)</mo></math></span> can be viewed as a quotient of the classical free idempotent-generated (regular) semigroups <span><math><mtext>IG</mtext><mo>(</mo><mi>E</mi><mo>)</mo></math></span> and <span><math><mtext>RIG</mtext><mo>(</mo><mi>E</mi><mo>)</mo></math></span>, where <span><math><mi>E</mi><mo>=</mo><mi>E</mi><mo>(</mo><mtext>PG</mtext><mo>(</mo><mi>P</mi><mo>)</mo><mo>)</mo></math></span>; this is witnessed by a number of presentations in terms of generators and defining relations. The semigroup <span><math><mtext>PG</mtext><mo>(</mo><mi>P</mi><mo>)</mo></math></span> can also be interpreted topologically, through a natural link to the fundamental groupoid of a simplicial complex explicitly constructed from <em>P</em>. The above theory is illustrated on a number of examples. In one direction, the free construction applied to the projection algebras of adjacency semigroups yields a new family of graph-based path semigroups. In another, it turns out that, remarkably, the Temperley–Lieb monoid <span><math><mi>T</mi><msub><mrow><mi>L</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span> is the free regular ⁎-semigroup over its own projection algebra <span><math><mi>P</mi><mo>(</mo><mi>T</mi><msub><mrow><mi>L</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>)</mo></math></span>.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"473 ","pages":"Article 110288"},"PeriodicalIF":1.5,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On orthogonal and staircase connectedness in the plane","authors":"Julia Q. Du,&nbsp;Liping Yuan,&nbsp;Tudor Zamfirescu","doi":"10.1112/mtk.70021","DOIUrl":"https://doi.org/10.1112/mtk.70021","url":null,"abstract":"<p>In this paper, we introduce <i>o</i>-extreme points defined by using orthogonal paths in orthogonally connected sets. We investigate their properties and obtain Minkowski-type theorems involving orthogonally connected sets. Using <i>o</i>-extreme points, we give some characterizations of staircase connectedness.</p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"71 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143888809","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":"Classification of (1+0) Two-Dimensional Hamiltonian Operators","authors":"Alessandra Rizzo","doi":"10.1007/s11040-025-09506-2","DOIUrl":"10.1007/s11040-025-09506-2","url":null,"abstract":"<div><p>In this paper, we study Hamiltonian operators which are sum of a first order operator and of a Poisson tensor, in two spatial independent variables. In particular, a complete classification of these operators is presented in two and three components, analyzing both the cases of degenerate and non degenerate leading coefficients.</p></div>","PeriodicalId":694,"journal":{"name":"Mathematical Physics, Analysis and Geometry","volume":"28 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11040-025-09506-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143888547","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":"Convergence rate of truncated EM method for periodic stochastic differential equations in superlinear scenario","authors":"Yongmei Cai","doi":"10.1016/j.aml.2025.109592","DOIUrl":"10.1016/j.aml.2025.109592","url":null,"abstract":"<div><div>Periodicity has been widely recognised in a variety of areas including biology, finance and control theory. As an important class of non-autonomous SDEs, stochastic differential equations (SDEs) with periodic coefficients have thus been receiving great attention recently. In this paper, we study the strong convergence of the truncated Euler–Maruyama (EM) method to the superlinear SDEs with periodic coefficients and generate an almost optimal convergence rate of order close to <span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span>. Due to the typical features of such SDEs including periodicity and super-linearity, this work becomes challenging and non-trivial. Finally our theory is demonstrated by computer simulations.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"169 ","pages":"Article 109592"},"PeriodicalIF":2.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143891294","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}