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

26 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",

month = nov,

doi = "10.3934/dcdsb.2005.5.1005",

language = "English",

volume = "5",

pages = "1005--1014",

journal = "Discrete and Continuous Dynamical Systems - Series B",

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T1 - Existence of non-trivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms

AU - Huang, Rui

AU - Wang, Yifu

AU - Ke, Yuanyuan

PY - 2005/11

Y1 - 2005/11

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/28444459538

U2 - 10.3934/dcdsb.2005.5.1005

DO - 10.3934/dcdsb.2005.5.1005

M3 - Article

AN - SCOPUS:28444459538

SN - 1531-3492

VL - 5

SP - 1005

EP - 1014

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 4

ER -

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

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Keywords

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