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A double inertial method for non-monotone variational inequality problem 非单调变分不等式问题的双惯性解法
Annali dell''Universita di Ferrara Pub Date : 2026-10-17 DOI: 10.1007/s11565-026-00776-4
O. M. Onifade, A. E. Ofem, S. A. Kajola, C. Izuchukwu, O. K. Narain
{"title":"A double inertial method for non-monotone variational inequality problem","authors":"O. M. Onifade,&nbsp;A. E. Ofem,&nbsp;S. A. Kajola,&nbsp;C. Izuchukwu,&nbsp;O. K. Narain","doi":"10.1007/s11565-026-00776-4","DOIUrl":"10.1007/s11565-026-00776-4","url":null,"abstract":"<div><p>In this paper, we propose a viscosity-type double inertial algorithm with self-adaptive stepsizes for solving non-monotone variational inequality problems involving uniformly continuous operators in real Hilbert spaces. The proposed method combines viscosity approximation and double inertial extrapolation techniques with a self-adaptive stepsize rule that does not require prior knowledge of the Lipschitz constant. Under suitable conditions, we establish a strong convergence of the generated sequence without assuming monotonicity, Lipschitz continuity, line-search procedures, or additional projection techniques. The obtained results extend several existing inertial and viscosity methods to a broader class of non-monotone and non-Lipschitz variational inequality problems. Numerical examples are presented to illustrate the effectiveness of the proposed algorithm.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-026-00776-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimized numerical radius bounds 优化的数值半径界
Annali dell''Universita di Ferrara Pub Date : 2026-10-16 DOI: 10.1007/s11565-026-00771-9
Fadi Alrimawi, Hamid Reza Moradi, Mohammad Sababheh
{"title":"Optimized numerical radius bounds","authors":"Fadi Alrimawi,&nbsp;Hamid Reza Moradi,&nbsp;Mohammad Sababheh","doi":"10.1007/s11565-026-00771-9","DOIUrl":"10.1007/s11565-026-00771-9","url":null,"abstract":"<div><p>We establish new parameter-dependent upper bounds for the numerical radius of <span>(2times 2)</span> operator matrices. The obtained estimates incorporate mixed product terms such as <span>(omega (BC))</span> and <span>(omega (CB))</span>, together with norm expressions involving the operator blocks, and refine several known numerical radius inequalities. We further study the associated optimization problems and determine optimal choices of the parameters that yield sharper bounds. As applications, we derive new numerical radius estimates for single operators and recover several known inequalities as special cases.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Paley-Wiener theorem for multi-anisotropic ultradifferentiable functions 多各向异性超可微函数的Paley-Wiener定理
Annali dell''Universita di Ferrara Pub Date : 2026-10-14 DOI: 10.1007/s11565-026-00770-w
Chikh Bouzar
{"title":"A Paley-Wiener theorem for multi-anisotropic ultradifferentiable functions","authors":"Chikh Bouzar","doi":"10.1007/s11565-026-00770-w","DOIUrl":"10.1007/s11565-026-00770-w","url":null,"abstract":"<div><p>The main aim of the present work is to prove a Paley-Wiener Theorem for multi-anisotropic ultradifferentiable functions. We also show new properties of the space of these functions.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stability and bifurcation analysis of a host pest interaction model with dual biological control agent 双生物防治剂作用下宿主与害虫相互作用模型的稳定性及分岔分析
Annali dell''Universita di Ferrara Pub Date : 2026-10-13 DOI: 10.1007/s11565-026-00752-y
Dibyajyoti Saikia, Lovely Borah, Hemanta Kumar Sarmah, Kaushik Dehingia
{"title":"Stability and bifurcation analysis of a host pest interaction model with dual biological control agent","authors":"Dibyajyoti Saikia,&nbsp;Lovely Borah,&nbsp;Hemanta Kumar Sarmah,&nbsp;Kaushik Dehingia","doi":"10.1007/s11565-026-00752-y","DOIUrl":"10.1007/s11565-026-00752-y","url":null,"abstract":"<div><p>The excessive use of chemical pesticides in agricultural systems can harm non-target organisms, contribute to pesticide resistance, and have adverse environmental effects, highlighting the need for sustainable pest management strategies. In this study, a non-linear four-dimensional mathematical model is proposed to investigate the dynamics of host–pest interaction in the presence of two biological control agents. The basic mathematical properties of the model, including uniqueness, boundedness, and positivity of solutions, are established to ensure its biological well-posedness. The biologically feasible equilibrium points are determined, and their local stability is analyzed using eigenvalue and stability criteria. Furthermore, the necessary conditions for the occurrence of a non-resonant double-Hopf bifurcation are investigated by considering the carrying capacity K as the bifurcation parameter. Numerical simulations are carried out to validate the theoretical results and to illustrate the effects of the biological control agents on the dynamics of the host and pest populations. The findings provide a mathematical framework for understanding how different biological interactions can influence the stability and long-term behavior of host–pest systems and may contribute to the development of sustainable pest management strategies.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum derivatives of matrix-valued functions with an application to q-kummer matrix function 矩阵值函数的量子导数及其在q-kummer矩阵函数中的应用
Annali dell''Universita di Ferrara Pub Date : 2026-10-09 DOI: 10.1007/s11565-026-00773-7
Ravi Dwivedi, Reshma Sanjhira, Peng-Cheng Hang, Min-Jie Luo
{"title":"Quantum derivatives of matrix-valued functions with an application to q-kummer matrix function","authors":"Ravi Dwivedi,&nbsp;Reshma Sanjhira,&nbsp;Peng-Cheng Hang,&nbsp;Min-Jie Luo","doi":"10.1007/s11565-026-00773-7","DOIUrl":"10.1007/s11565-026-00773-7","url":null,"abstract":"<div><p>In this article, we develop a generalized quantum calculus framework for primary matrix-valued functions. Specifically, we introduce bilateral left- and right-sided <i>q</i>-, <i>p</i>-, and <i>h</i>-derivative operators under explicit matrix commutativity assumptions and investigate their fundamental analytical properties. As an application, we evaluate the quantum derivatives of the <i>q</i>-Kummer hypergeometric matrix function. These results demonstrate the operational consistency and utility of the proposed quantum derivative framework.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Wigner-Ville distribution and ambiguity function associated with quaternionic novel windowed linear canonical transform 与四元数新型加窗线性正则变换相关的Wigner-Ville分布和模糊函数
Annali dell''Universita di Ferrara Pub Date : 2026-10-08 DOI: 10.1007/s11565-026-00774-6
Aijaz Ahmad Dar, Arshad Ahmad Khan
{"title":"Wigner-Ville distribution and ambiguity function associated with quaternionic novel windowed linear canonical transform","authors":"Aijaz Ahmad Dar,&nbsp;Arshad Ahmad Khan","doi":"10.1007/s11565-026-00774-6","DOIUrl":"10.1007/s11565-026-00774-6","url":null,"abstract":"<div><p>This paper introduces the Wigner–Ville distribution (WVD) and the ambiguity function (AF) associated with the Quaternionic Novel Windowed Linear Canonical Transform (QNWLCT), termed WVD-QNWLCT and AF-QNWLCT. Fundamental properties such as dilation, shift, modulation, nonlinearity, and boundedness are established, and the corresponding ambiguity function is analyzed. Furthermore, classical uncertainty principles, including logarithmic, Hardy’s, and Beurling’s inequalities, are extended to this quaternionic framework. The applicability of the proposed transform is demonstrated through the analysis of linear frequency modulated (LFM) signals, where accurate time-frequency localization and clear representation of multi-component structures are achieved. These results highlight the effectiveness of the WVD-QNWLCT in advanced time-frequency analysis and signal processing.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The metaplectic semigroup with applications to evolution equations generated by non-selfadjoint quadratic Hamiltonians 非自伴二次哈密顿生成的演化方程中的元半群及其应用
Annali dell''Universita di Ferrara Pub Date : 2026-10-03 DOI: 10.1007/s11565-026-00775-5
Davide Tramontana
{"title":"The metaplectic semigroup with applications to evolution equations generated by non-selfadjoint quadratic Hamiltonians","authors":"Davide Tramontana","doi":"10.1007/s11565-026-00775-5","DOIUrl":"10.1007/s11565-026-00775-5","url":null,"abstract":"<div><p>In these notes, we review the construction of the metaplectic semigroup and its applications to evolution equations generated by non-selfadjoint quadratic Hamiltonians arising as Weyl quantizations of complex quadratic forms in phase space. After recalling the classical metaplectic theory and its role in the classical–quantum correspondence, together with the basic tools of isotropic pseudodifferential calculus and isotropic microlocal analysis, we present the construction of the metaplectic semigroup through the geometry of positive complex Lagrangian subspaces. Particular attention is devoted to their characterization and correspondence with tempered Gaussian distributions, which constitute the foundation for the construction of the semigroup. This framework provides a natural geometric description of propagators associated with evolution equations generated by Weyl quantizations of complex quadratic forms and reveals the close relationship between their analytical properties and the underlying symplectic geometry. In the last part of these notes, we discuss recent results on the propagation of singularities, as well as the propagation of concentration in terms of Wigner distributions, for the evolution equations in question.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-026-00775-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Backward bifurcation and treatment-induced dynamics in a cholera transmission model: mathematical analysis and numerical simulations 霍乱传播模型中的后向分岔和治疗诱导动力学：数学分析和数值模拟
Annali dell''Universita di Ferrara Pub Date : 2026-10-03 DOI: 10.1007/s11565-026-00768-4
Ahmed A. Mohsen, May M. Helal, Kaushik Dehingia
{"title":"Backward bifurcation and treatment-induced dynamics in a cholera transmission model: mathematical analysis and numerical simulations","authors":"Ahmed A. Mohsen,&nbsp;May M. Helal,&nbsp;Kaushik Dehingia","doi":"10.1007/s11565-026-00768-4","DOIUrl":"10.1007/s11565-026-00768-4","url":null,"abstract":"<div><p>Cholera is still a great threat to public health especially in areas where there is inadequate medical care. In this study, we develop and analyze a non-linear SEITRB model of cholera transmission that takes into account the role played by bacteria in the environment and also a treatment class. The reproduction number of the model is determined using the next generation matrix method. Disease-free and endemic equilibriums of the model are examined with respect to stability analysis. The conditions under which backward bifurcation occurs are found and validated through numerical simulations. It is shown that restrictions on treatment and environmental infection can lead to disease prevalence despite <span>(mathscr {R}_0&lt;1)</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The critical exponent for semilinear wave equations with damped oscillations 具有阻尼振荡的半线性波动方程的临界指数
Annali dell''Universita di Ferrara Pub Date : 2026-09-30 DOI: 10.1007/s11565-026-00767-5
Marcello D’Abbicco
{"title":"The critical exponent for semilinear wave equations with damped oscillations","authors":"Marcello D’Abbicco","doi":"10.1007/s11565-026-00767-5","DOIUrl":"10.1007/s11565-026-00767-5","url":null,"abstract":"<div><p>We determine the existence exponent for the global small data solutions for a class of evolution equations with power nonlinearity under the effect of a dissipation that dampens the oscillations at low frequencies and produce overdamping at high frequencies.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-026-00767-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of nontrivial solutions for a class of fourth-order elliptic equations with convection terms 一类带对流项的四阶椭圆方程非平凡解的存在性
Annali dell''Universita di Ferrara Pub Date : 2026-09-29 DOI: 10.1007/s11565-026-00772-8
Mohamed El Massaoudi, Khalil Ben Haddouch
{"title":"Existence of nontrivial solutions for a class of fourth-order elliptic equations with convection terms","authors":"Mohamed El Massaoudi,&nbsp;Khalil Ben Haddouch","doi":"10.1007/s11565-026-00772-8","DOIUrl":"10.1007/s11565-026-00772-8","url":null,"abstract":"<div><p>In this paper, we study the existence of nontrivial solutions for a fourth-order semilinear elliptic problem </p><div><div><span>$$ Delta ^2 u + 2beta cdot nabla (Delta u) + beta cdot nabla (beta cdot nabla u) = f(x,u), quad text {in } Omega , $$</span></div></div><p>with Navier boundary conditions <span>(u = Delta u = 0)</span> on <span>(partial Omega )</span>, where <span>(Omega )</span> is a bounded smooth domain in <span>(mathbb {R}^N)</span>, <span>(N&gt;4)</span> and <span>(beta in mathbb {R}^N)</span> is a constant vector. By using a transformation that converts the problem into a fourth-order elliptic equation without convection terms, and by applying the mountain pass theorem, we establish the existence of at least one nontrivial solution under two different assumptions on <i>f</i>, without assuming the Ambrosetti–Rabinowitz type condition.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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