Existence of infinitely many periodic solutions for ordinary p-Laplacian systems

被引：30

作者：

Ma, Shiwang ^{[1
]}

Zhang, Yuxiang ^{[1
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Periodic solution; Ordinary p-Laplacian system; Minimax technique; 2ND-ORDER HAMILTONIAN-SYSTEMS; SUBHARMONIC SOLUTIONS;

D O I：

10.1016/j.jmaa.2008.10.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and multiplicity of non-trivial periodic solutions of ordinary p-Laplacian systems by using the minimax technique in critical point theory. We also give an example to illustrate that the obtained results are new even in the case p = 2. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：469 / 479

页数：11

共 16 条

[1]

[Anonymous], CBMS REG C SER MATH

[2]

[Anonymous], 1989, APPL MATH SCI

[3]

Bartolo P, 1983, NONLINEAR ANAL, V7, P241

[4]

Cerami G., 1978, Ren. Acad. Sci. Lett. Ist. Lomb, V112, P332

[5]

Fei G., 2002, ELECT J DIFFERENTIAL, V08, P1

[6] Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems [J].

Jiang, Qin ;

Tang, Chun-Lei .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) :380-389

[7]

PASCA D, 2008, NONLINEAR A IN PRESS

[8] PERIODIC-SOLUTIONS OF HAMILTONIAN SYSTEMS [J].

RABINOWITZ, PH .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1978, 31 (02) :157-184

[9] ON SUB-HARMONIC SOLUTIONS OF HAMILTONIAN-SYSTEMS [J].

RABINOWITZ, PH .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (05) :609-633

[10] Notes on periodic solutions of subquadratic second order systems [J].

Tang, CL ;

Wu, XP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 285 (01) :8-16

← 1 2 →