Characterizing the existence of positive periodic solutions in the weighted periodic-parabolic degenerate logistic equation-Reference-Cited by-同舟云学术

Characterizing the existence of positive periodic solutions in the weighted periodic-parabolic degenerate logistic equation

Published:2023 Issue:2 Volume:28 Page:1471
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Aleja David¹,Antón Inmaculada²,López-Gómez Julián³

Affiliation:

1. Departamento de Matemática Aplicada, Ciencia e Ingeniería, de los Materiales y Tecnología Electrónica, Universidad Rey Juan Carlos, 28933 Móstoles, Spain

2. Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain

3. Instituto Interdisciplinar de Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

Abstract

<p style='text-indent:20px;'>The main goal of this paper is to characterize the existence of positive periodic solutions for a general class of weighted periodic-parabolic logistic problems of degenerate type (see (1)). This result provides us with is an optimal substantial generalization of the previous findings of the authors in [<xref ref-type="bibr" rid="b1">1</xref>] and [<xref ref-type="bibr" rid="b2">2</xref>].</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference16 articles.

1. D. Aleja, I. Antón and J. López-Gómez, Solution components in a degenerate weighted BVP, Nonl. Anal., 192 (2020), 111690, 20 pp.

2. D. Aleja, I. Antón and J. López-Gómez, Global structure of the periodic positive solutions for a general class of periodic-parabolic logistic equations with the indefinite weights, J. Math. Anal. Appl., 487 (2020), 123961, 23 pp.

3. H. Amann.Existence of multiple solutions for nonlinear elliptic boundary value problems, Indiana Univ. Math. J., 21 (1971-72), 925-935.

4. H. Amann, J. López-Gómez.A priori bounds and multiple solutions for superlinear indefinite elliptic problems, J. Diff. Eqns., 146 (1998), 336-374.

5. I. Antón and J. López-Gómez, The strong maximum principle for periodic-parabolic systems and the existence of principal eigenvalues, in World Congress of Nonlinear Analysts 92's (Edited by L. Lakshmikantham), pp. 323–334, Walter de Gruyter, New York, 1996.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations;Journal of Dynamics and Differential Equations;2024-03-25

2. Fine patterns for a nonlocal periodic-parabolic equation with spatial degeneracy;Journal of Differential Equations;2024-02

3. A Fast Image Encryption Algorithm Based on Logistic Mapping and Hyperchaotic Lorenz System for Clear Text Correlation;IEEE Access;2023