Nonlinear Analysis-Real World Applications最新文献_第4页

Limit cycles in a class of piecewise polynomial differential systems having the unit circle as their switching manifold 一类以单位圆为交换流形的分段多项式微分系统的极限环

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-19 DOI: 10.1016/j.nonrwa.2025.104521

Luiz Fernando Gonçalves, Bruno Rodrigues Freitas, Ronaldo Alves Garcia

引用次数: 0

Global stability analysis and optimal vaccination strategy for an age-structured tuberculosis model with general incidence 具有一般发病率的年龄结构结核模型的全局稳定性分析和最优疫苗接种策略

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-22 DOI: 10.1016/j.nonrwa.2025.104583

Qian Jiang , Zhijun Liu , Lianwen Wang

引用次数: 0

Refined Liouville-type theorems for the stationary Navier–Stokes equations 平稳Navier-Stokes方程的改进liouville型定理

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-06 DOI: 10.1016/j.nonrwa.2025.104599

Youseung Cho, Minsuk Yang

引用次数: 0

Limit cycles of 3D piecewise linear systems with concurrent tangent lines 具有并行切线的三维分段线性系统的极限环

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-30 DOI: 10.1016/j.nonrwa.2025.104587

Samuel Carlos S. Ferreira , Bruno R. Freitas , João Carlos R. Medrado

{"title":"Limit cycles of 3D piecewise linear systems with concurrent tangent lines","authors":"Samuel Carlos S. Ferreira , Bruno R. Freitas , João Carlos R. Medrado","doi":"10.1016/j.nonrwa.2025.104587","DOIUrl":"10.1016/j.nonrwa.2025.104587","url":null,"abstract":"<div><div>We analyze a 3D discontinuous piecewise linear dynamical system, <span><math><mrow><mi>Z</mi><mo>=</mo><mrow><mo>(</mo><mi>X</mi><mo>,</mo><mi>Y</mi><mo>)</mo></mrow></mrow></math></span>, with a plane Σ as its switching manifold, which contains two-fold intersection straight lines. The eigenvalues associated with <em>DX</em> and <em>DY</em> are composed of one real eigenvalue and a pair of complex conjugate eigenvalues. A canonical form is obtained using changes in variables and parameters. Two half-return Poincaré maps are generated from two closing equations derived from exponential matrices, leading to a displacement map Δ. Using the Weierstrass Preparation Theorem, we prove the existence of a subclass within this family that admits at least one large amplitude limit cycle. When the real part of the complex eigenvalues is non-zero, the restriction of Δ to space <em>W</em>, formed by the concatenation of bi-dimensional focal planes associated with the complex eigenvalues, can have up to three positive zeros on <em>W</em> ∩ Σ, corresponding to three large amplitude limit cycles. We provide examples with one, two, and three limit cycles.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104587"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145885261","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}

引用次数: 0

Well-posedness of a first-order-in-time model for nonlinear acoustics with nonhomogeneous boundary conditions 非齐次边界条件下非线性声学一阶实时模型的适定性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-28 DOI: 10.1016/j.nonrwa.2026.104609

Pascal Lehner

{"title":"Well-posedness of a first-order-in-time model for nonlinear acoustics with nonhomogeneous boundary conditions","authors":"Pascal Lehner","doi":"10.1016/j.nonrwa.2026.104609","DOIUrl":"10.1016/j.nonrwa.2026.104609","url":null,"abstract":"<div><div>We study well-posedness of a first-order-in-time model for nonlinear acoustics with nonhomogeneous boundary conditions in fractional Sobolev spaces. The analysis proceeds by first establishing well-posedness of an abstract parabolic-type semilinear evolution equation. These results are then applied to concrete operators and function spaces that capture the boundary conditions relevant for realistic modeling.</div><div>Our approach is based on the spectral decomposition of a positive definite self-adjoint operator, with solution regularity characterized via the domains of its fractional powers. Employing Galerkin’s method and the Newton-Kantorovich theorem, we prove well-posedness for the abstract nonlinear system with possibly nonhomogeneous boundary data.</div><div>The connection between (spectral) fractional powers of the Laplacian and fractional Sobolev spaces due to interpolation theory allows us to transfer these results to the nonlinear acoustic model under nonhomogeneous Dirichlet and Neumann boundary conditions, yielding fractional Sobolev regularity. For Hodge/Lions boundary conditions, we establish well-posedness with solutions in classical Sobolev spaces of integer order.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104609"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077470","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}

引用次数: 0

Quasilinear double phase problem on the whole space 全空间上的拟线性双相问题

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-27 DOI: 10.1016/j.nonrwa.2025.104586

Chun-Bo Lian , Bin Ge , Qing-Hai Cao , Qing-Mei Zhou

引用次数: 0

Finite time blow up of solutions for coupled system of wave equations with nonlinear memory terms 具有非线性记忆项的波动方程耦合系统解的有限时间爆破

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-22 DOI: 10.1016/j.nonrwa.2026.104604

Kh Zennir , S. Bousserhane Reda , T. Miyasita , S.G. Georgiev , K. Bouhali

引用次数: 0

A predator-prey model with poison dependent diffusion 具有毒素依赖扩散的捕食者-猎物模型

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-12 DOI: 10.1016/j.nonrwa.2025.104575

Xinyu Bo, Qi An, Wenjun Liu, Guangying Lv

引用次数: 0

Global bifurcation diagrams and multiplicity of positive solutions for the one-dimensional Minkowski-curvature problem with singular nonlinearity 具有奇异非线性的一维minkowski曲率问题的全局分岔图和正解的多重性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-09 DOI: 10.1016/j.nonrwa.2025.104597

Hao Chen , Rui Yang

{"title":"Global bifurcation diagrams and multiplicity of positive solutions for the one-dimensional Minkowski-curvature problem with singular nonlinearity","authors":"Hao Chen , Rui Yang","doi":"10.1016/j.nonrwa.2025.104597","DOIUrl":"10.1016/j.nonrwa.2025.104597","url":null,"abstract":"<div><div>In this paper, we study the global bifurcation diagrams and multiplicity of positive solutions for the one-dimensional Minkowski-curvature equation with singular nonlinearity<span><span><span><math><mrow><mo>{</mo><mtable><mtr><mtd><mrow><mo>−</mo><msup><mrow><mo>(</mo><mstyle><mfrac><msup><mi>u</mi><mo>′</mo></msup><msqrt><mrow><mn>1</mn><mo>−</mo><msup><mi>u</mi><mrow><mo>′</mo><mn>2</mn></mrow></msup></mrow></msqrt></mfrac></mstyle><mo>)</mo></mrow><mo>′</mo></msup><mo>=</mo><mstyle><mfrac><mi>λ</mi><msup><mrow><mo>(</mo><mn>1</mn><mo>−</mo><mi>u</mi><mo>)</mo></mrow><mi>p</mi></msup></mfrac></mstyle><mo>,</mo></mrow></mtd><mtd><mrow><mtext>in</mtext><mspace></mspace><mo>(</mo><mo>−</mo><mi>L</mi><mo>,</mo><mi>L</mi><mo>)</mo><mo>,</mo></mrow></mtd></mtr><mtr><mtd><mrow><mi>u</mi><mo>(</mo><mo>−</mo><mi>L</mi><mo>)</mo><mo>=</mo><mi>u</mi><mo>(</mo><mi>L</mi><mo>)</mo><mo>=</mo><mn>0</mn><mo>,</mo></mrow></mtd></mtr></mtable></mrow></math></span></span></span>where <em>λ, p, L</em> are three positive parameters. We determine the number of positive solutions corresponding to the vary of the values of these parameters based on time-map approach. For this open question, we observe that the global bifurcation diagrams differ significantly between two cases: Case 1. For 0 < <em>L</em> < 1, |<em>u</em>′| < 1 ensures <em>u</em> < <em>L</em> < 1, resulting in a non-singular problem; Case 2. For <em>L</em> ≥ 1, additional condition <em>u</em> < 1 is needed to avoid the occurrence of singularity. We show that the bifurcation curve of positive solutions either is strictly increasing or <em>S</em>-like shaped in the first case, while the bifurcation curve is more complicated, strictly increasing, <em>S</em>-like shaped, or ⊃-like shaped in the other one.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104597"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926982","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}

引用次数: 0

Global strong solutions to the frame hydrodynamics for biaxial nematic phases 双轴向列相框架流体动力学的全局强解

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-29 DOI: 10.1016/j.nonrwa.2026.104608

Minjiang Feng, Sirui Li, Qi Zeng

引用次数: 0