Periodic solutions for a generalized p-Laplacian equation

被引：2

作者：

Yang, Xiaojing ^{[2
]}

Kim, Yong-In ^{[1
]}

Lo, Kueiming ^{[3
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[3] Tsinghua Univ, Key Lab Informat Syst Secur, Sch Software, Minist Educ China, Beijing 100084, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 03期

关键词：

p-Laplacian; Degree theory; Periodic solution; EXISTENCE;

D O I：

10.1016/j.aml.2011.09.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and uniqueness of T-periodic solutions for the following boundary value problems with p-Laplacian: (phi(p) (x'))' + f (t, x') + g(t, x) = e(t), x(0) = x(T), x' (0) = x' (T) are investigated, where phi(p)(u) = vertical bar u vertical bar(p-2) with p > 1 and f, g, e are continuous and are T-periodic in t with f (t, 0) = 0. Using coincidence degree theory, some existence and uniqueness results are presented. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：586 / 589

页数：4

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