Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms

Rui Huang; Yifu Wang; Yuanyuan Ke

doi:10.3934/dcdsb.2005.5.1005

Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms

Rui Huang, Yifu Wang, Yuanyuan Ke^*

^*Corresponding author for this work

School of Mathematics and Statistics

Jilin University

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

In this paper, we establish the existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms by using the theory of Leray-Schauder's degree.

Original language	English
Pages (from-to)	1005-1014
Number of pages	10
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	5
Issue number	4
DOIs	https://doi.org/10.3934/dcdsb.2005.5.1005
Publication status	Published - Nov 2005

Keywords

Degenerate equation
Leray-Schauder's degree
Nonlocal term

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10.3934/dcdsb.2005.5.1005

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title = "Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms",

abstract = "In this paper, we establish the existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms by using the theory of Leray-Schauder's degree.",

keywords = "Degenerate equation, Leray-Schauder's degree, Nonlocal term",

author = "Rui Huang and Yifu Wang and Yuanyuan Ke",

year = "2005",

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doi = "10.3934/dcdsb.2005.5.1005",

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AU - Huang, Rui

AU - Wang, Yifu

AU - Ke, Yuanyuan

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AB - In this paper, we establish the existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms by using the theory of Leray-Schauder's degree.

KW - Degenerate equation

KW - Leray-Schauder's degree

KW - Nonlocal term

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M3 - Article

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IS - 4

ER -

Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms

Abstract

Keywords

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