Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms

Qian Zhou; Rui Huang; Yuanyuan Ke; Yifu Wang

doi:10.1016/j.camwa.2005.06.005

Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms

Qian Zhou
, Rui Huang
, Yuanyuan Ke^*
, Yifu Wang

^*Corresponding author for this work

School of Mathematics and Statistics

Jilin University

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

7 Citations (Scopus)

Abstract

In this paper, we study the existence of nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms based on the theory of Leray-Schauder's degree.

Original language	English
Pages (from-to)	1293-1302
Number of pages	10
Journal	Computers and Mathematics with Applications
Volume	50
Issue number	8-9
DOIs	https://doi.org/10.1016/j.camwa.2005.06.005
Publication status	Published - Oct 2005

Keywords

Existence of periodic solutions
L norm estimates
Leray-Schauder's degree
Nonlocal term
Quasilinear equation

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10.1016/j.camwa.2005.06.005

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@article{d5cff6a62f7140749660ed2ee3484918,

title = "Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms",

abstract = "In this paper, we study the existence of nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms based on the theory of Leray-Schauder's degree.",

keywords = "Existence of periodic solutions, L norm estimates, Leray-Schauder's degree, Nonlocal term, Quasilinear equation",

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

year = "2005",

month = oct,

doi = "10.1016/j.camwa.2005.06.005",

language = "English",

volume = "50",

pages = "1293--1302",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

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}

TY - JOUR

T1 - Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms

AU - Zhou, Qian

AU - Huang, Rui

AU - Ke, Yuanyuan

AU - Wang, Yifu

PY - 2005/10

Y1 - 2005/10

N2 - In this paper, we study the existence of nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms based on the theory of Leray-Schauder's degree.

AB - In this paper, we study the existence of nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms based on the theory of Leray-Schauder's degree.

KW - Existence of periodic solutions

KW - L norm estimates

KW - Leray-Schauder's degree

KW - Nonlocal term

KW - Quasilinear equation

UR - https://www.scopus.com/pages/publications/28844437146

U2 - 10.1016/j.camwa.2005.06.005

DO - 10.1016/j.camwa.2005.06.005

M3 - Article

AN - SCOPUS:28844437146

SN - 0898-1221

VL - 50

SP - 1293

EP - 1302

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 8-9

ER -

Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms

Abstract

Keywords

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