EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS

被引：0

作者：

Kim, Yong-In ^{[1
]}

机构：

[1] Univ Ulsan, Dept Math, Ulsan 689749, South Korea

来源：

JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2012年 / 19卷 / 02期

关键词：

p-Laplacian; degree theory; periodic solution;

D O I：

10.7468/jksmeb.2012.19.2.103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence and uniqueness of T-periodic solutions for the following p-Laplacian equations: (phi(p)(x '))' + alpha(t)x ' + g(t, x) = e(t), x(0) = x(T), x '(0) = x '(T) are investigated, where phi(p)(u) = |u|(P-2)u with p > 1 and alpha is an element of C-1, e is an element of C are T-periodic and g is continuous and T-periodic in t. By using coincidence degree theory, some existence and uniqueness results are obtained.

引用

页码：103 / 109

页数：7

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