Journal of Mathematical Analysis and Applications最新文献

{"title":"On the spectra of tridiagonal non-symmetric matrices","authors":"Saad R. El-Shabrawy,&nbsp;Asmaa M. Shindy","doi":"10.1016/j.jmaa.2025.129421","DOIUrl":"10.1016/j.jmaa.2025.129421","url":null,"abstract":"<div><div>A study is made of the spectra of infinite tridiagonal matrices as operators on the Hahn sequence space h and the space <span><math><msub><mrow><mi>bv</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> of null sequences of bounded variation. The study includes: the spectrum, the point spectrum, the residual spectrum and the continuous spectrum of the considered matrices. It is shown that the method used in this paper is suitable also for determining the spectra of triangular double-band matrices and the Jacobi matrices.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129421"},"PeriodicalIF":1.2,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552942","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":"Singularity formation for the compressible non-isentropic Euler equations with time-dependent damping","authors":"Dong Wang,&nbsp;Xinghong Pan,&nbsp;Jiang Xu","doi":"10.1016/j.jmaa.2025.129417","DOIUrl":"10.1016/j.jmaa.2025.129417","url":null,"abstract":"<div><div>In this paper, we mainly study the blow up phenomenon to classical solutions of compressible non-isentropic Euler equations with time-dependent damping <span><math><mfrac><mrow><mi>a</mi></mrow><mrow><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow><mrow><mi>λ</mi></mrow></msup></mrow></mfrac><mi>u</mi></math></span> in one space dimension. By constructing the decoupled Riccati equation, we show that <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> solutions will blow up in finite time when the adiabatic gas constant <span><math><mn>1</mn><mo>&lt;</mo><mi>γ</mi><mo>&lt;</mo><mn>3</mn></math></span> and the damping coefficient <span><math><mi>λ</mi><mo>≥</mo><mn>0</mn></math></span> if the initial data satisfies suitable condition. Moreover, when the initial data is small enough, we can see that the blow up comes from derivatives of the solution.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129417"},"PeriodicalIF":1.2,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143529273","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":"Bifurcation from interval and positive solutions of Minkowski-curvature on unbounded domain","authors":"Tianlan Chen","doi":"10.1016/j.jmaa.2025.129422","DOIUrl":"10.1016/j.jmaa.2025.129422","url":null,"abstract":"<div><div>We construct the bifurcation of interval of positive radial solutions from the trivial solution to the following Minkowski-curvature problems on unbounded domains<span><span><span><math><mo>−</mo><mtext>div</mtext><mo>(</mo><mfrac><mrow><mi>∇</mi><mi>u</mi></mrow><mrow><msqrt><mrow><mn>1</mn><mo>−</mo><mo>|</mo><mi>∇</mi><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>2</mn></mrow></msup></mrow></msqrt></mrow></mfrac><mo>)</mo><mo>=</mo><mi>λ</mi><mi>f</mi><mo>(</mo><mi>x</mi><mo>,</mo><mspace></mspace><mi>u</mi><mo>)</mo><mo>,</mo><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mi>x</mi><mo>∈</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup><mo>,</mo></math></span></span></span><span><span><span><math><mi>u</mi><mo>→</mo><mn>0</mn><mo>,</mo><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mspace></mspace><mtext>as</mtext><mspace></mspace><mo>|</mo><mi>x</mi><mo>|</mo><mo>→</mo><mo>+</mo><mo>∞</mo><mo>,</mo></math></span></span></span> where <em>f</em> is not necessarily linearizable at zero. The proof of main results are based on the topological degree and global bifurcation techniques.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129422"},"PeriodicalIF":1.2,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143510522","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":"Existence and uniqueness of a time-periodic strong solution to incompressible Navier-Stokes equations in a time-periodic moving domain, describing the blood flow in an artificial heart","authors":"Arian Novruzi,&nbsp;Fayaud Mezatio","doi":"10.1016/j.jmaa.2025.129410","DOIUrl":"10.1016/j.jmaa.2025.129410","url":null,"abstract":"<div><div>In this paper, we prove the existence and uniqueness result of a strong time-periodic solution <span><math><mo>(</mo><mi>u</mi><mo>,</mo><mi>p</mi><mo>)</mo><mo>∈</mo><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo><mo>∩</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>(</mo><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo><mo>×</mo><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>)</mo></math></span> to incompressible Navier-Stokes equations in a time-periodic moving domain in dimension <span><math><mi>N</mi><mo>=</mo><mn>2</mn><mo>,</mo><mn>3</mn></math></span>. The boundary of the moving domain is a <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup><mo>(</mo><msup><mrow><mi>W</mi></mrow><mrow><mn>2</mn><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mrow><mn>2</mn></mrow><mrow><mo>′</mo></mrow></msup></mrow></mfrac><mo>,</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>′</mo></mrow></msup></mrow></msup><mo>)</mo><mo>∩</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>(</mo><msup><mrow><mi>H</mi></mrow><mrow><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></msup><mo>)</mo><mo>∩</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span> local perturbation of the boundary of a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span> fixed domain, where <span><math><msup><mrow><mn>2</mn></mrow><mrow><mo>′</mo></mrow></msup><mo>&gt;</mo><mi>N</mi></math></span>. The proof is based on a trace lifting technique for transforming the moving domain problem into a fixed domain one, a time-dependent strong solution of a divergence problem, and the implicit function theorem. Our study model describes blood movement in a fluid-driven or mechanically powered artificial heart prototype.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129410"},"PeriodicalIF":1.2,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552937","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":"Dynamics of two species predator-prey model with spatially nonhomogeneous diffusion strategy","authors":"Li Ma ,&nbsp;Haihua Liang ,&nbsp;Huatao Wang","doi":"10.1016/j.jmaa.2025.129412","DOIUrl":"10.1016/j.jmaa.2025.129412","url":null,"abstract":"<div><div>In this paper, we investigate a Holling type-II predator-prey system with spatially nonhomogeneous diffusion strategy. By employing the methods of the implicit function theorem, eigenvalue theory and bifurcation theory, we analyze the stability/instability of the positive steady state and explore the existence of a Hopf bifurcation when the diffusion rate is large. Furthermore, when the driven diffusion functions <span><math><msub><mrow><mi>Q</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><msup><mrow><mi>e</mi></mrow><mrow><mi>q</mi><mi>m</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msup></math></span> and <span><math><msub><mrow><mi>Q</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>≡</mo><mn>1</mn></math></span>, we detailed discuss how the parameter <em>q</em> of the density dependent diffusion <span><math><msub><mrow><mi>Q</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo></math></span> affect the occurrence of Hopf bifurcations and the values of Hopf bifurcations.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129412"},"PeriodicalIF":1.2,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143529275","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":"Extremal structure of cones of positive homogeneous polynomials. Part II","authors":"Zalina A. Kusraeva","doi":"10.1016/j.jmaa.2025.129409","DOIUrl":"10.1016/j.jmaa.2025.129409","url":null,"abstract":"<div><div>The necessary and sufficient conditions under which the cone of positive homogeneous polynomials between vector lattices coincides with the closed convex hull of the set of sums of monomials in lattice homomorphisms are found. Incidentally the answer for the following question is established: when the cone of positive multilinear operators between vector lattices serves as a point-wise uniformly closed convex hull of the set of lattice multimorphisms.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129409"},"PeriodicalIF":1.2,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521297","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":"Cholera invasion speed and the intervention strength","authors":"Komi Afassinou ,&nbsp;Ousmane Koutou ,&nbsp;Narcisse Roland Loufouma Makala","doi":"10.1016/j.jmaa.2025.129411","DOIUrl":"10.1016/j.jmaa.2025.129411","url":null,"abstract":"<div><div>We formulate a mathematical model which captures the essential dynamics of cholera infection transmission. Control interventions such as vaccination program and environmental sanitation service are incorporated to analyse the impact of both interventions on the infection dynamics. The qualitative and numerical analyses of the model are carried out. Through these analyses, a great attention is brought to certain uncommonly used infection features such as invasion speed of an infection which historically has been ignored by infectious disease modellers. The analyses of these key model parameters not only reveal the required intervention strength needed to curb the infection spread but also indicate which either control intervention should be prioritised. The numerical results approve the qualitative findings and promise an infection free population, should the control intervention speed be greater than the invasion speed of the infection.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129411"},"PeriodicalIF":1.2,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143529272","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":"Global strong solution to the inviscid liquid-gas two-phase flow model in Lp framework","authors":"Zhigang Wu ,&nbsp;Juanzi Cai ,&nbsp;Mengqian Liu","doi":"10.1016/j.jmaa.2025.129413","DOIUrl":"10.1016/j.jmaa.2025.129413","url":null,"abstract":"<div><div>This paper is dedicated to the study of the inviscid liquid-gas two-phase flow model in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup><mspace></mspace><mo>(</mo><mi>d</mi><mo>≥</mo><mn>1</mn><mo>)</mo></math></span>. We investigate the global existence of strong solutions to the Cauchy problem in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span> critical regularity framework by constructing local solution and the a priori estimate. Additionally, by establishing Lyapunov energy functional, we obtain the decay estimates of solutions in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span>-norms without additional smallness assumptions on the initial data.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129413"},"PeriodicalIF":1.2,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143510520","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":"Dynamics of composition operators on spaces of holomorphic functions on plane domains","authors":"J. Bès,&nbsp;C. Foster","doi":"10.1016/j.jmaa.2025.129393","DOIUrl":"10.1016/j.jmaa.2025.129393","url":null,"abstract":"<div><div>We study the dynamic behavior of (weighted) composition operators on the space of holomorphic functions on a plane domain. Any such operator is hypercyclic if and only if it is topologically mixing, and when the symbol is automorphic, such an operator is supercyclic if and only if it is mixing. When the domain is a punctured plane, a composition operator is supercyclic if and only if it satisfies the Frequent Hypercyclicity Criterion, and when the domain is conformally equivalent to a punctured disc, such an operator is hypercyclic if and only if it satisfies the Frequent Hypercyclicity Criterion. When the domain is finitely connected and either conformally equivalent to an annulus or having two or more holes, no weighted composition operator can be supercyclic.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129393"},"PeriodicalIF":1.2,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552941","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":"Uncertainty principles for linear canonical transform","authors":"Weixiong Mai ,&nbsp;Pei Dang ,&nbsp;Wenliang Pan ,&nbsp;Xuan Chen","doi":"10.1016/j.jmaa.2025.129414","DOIUrl":"10.1016/j.jmaa.2025.129414","url":null,"abstract":"<div><div>In this paper, we study the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span>-type Heisenberg-Pauli-Weyl uncertainty principles for linear canonical transform. Moreover, we generalize the Heisenberg-Pauli-Weyl uncertainty principles and the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span>-type Heisenberg-Pauli-Weyl uncertainty principles for linear canonical transform to random signals. Furthermore, some numerical simulations are given to demonstrate the theoretical results.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"548 2","pages":"Article 129414"},"PeriodicalIF":1.2,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552938","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}