Existence of Periodic Solutions for Second Order Hamiltonian System

被引：0

作者：

Li Xiao ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2012年 / 35卷 / 03期

关键词：

Second order Hamiltonian systems; periodic solution; critical point; saddle point theorem; P-LAPLACIAN SYSTEM; P(T)-LAPLACIAN SYSTEMS; NONLINEARITIES; MULTIPLICITY; EQUATIONS; POINT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some existence theorems are obtained for periodic solutions of second order Hamiltonian system by using the minimax principle. Our results improve those in some known literatures.

引用

页码：785 / 801

页数：17

共 27 条

[1]

[Anonymous], 1989, APPL MATH SCI

[2]

[Anonymous], 1987, ACAD ROY BELG B S

[3] SOLVABILITY OF SEMILINEAR GRADIENT OPERATOR EQUATIONS [J].

BERGER, MS ;

SCHECHTER, M .

ADVANCES IN MATHEMATICS, 1977, 25 (02) :97-132

[4] Periodic solutions to differential systems with unbounded or periodic nonlinearities [J].

Feng, Jian-Xia ;

Han, Zhi-Qing .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) :1264-1278

[5] Periodic solutions of second order discrete convex systems involving the p-Laplacian [J].

He, Tieshan ;

Chen, Wenge .

APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) :124-132

[6] Existence of critical point for abstract resonant problems with unbounded nonlinearities and applications to differential equations [J].

Li, Qingdong ;

Han, Zhi-Qing .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (08) :1654-1668

[7]

Luo ZM, 2012, B MALAYS MATH SCI SO, V35, P373

[8] CRITICAL-POINTS OF CONVEX PERTURBATIONS OF SOME INDEFINITE QUADRATIC-FORMS AND SEMILINEAR BOUNDARY-VALUE-PROBLEMS AT RESONANCE [J].

MAWHIN, J ;

WILLEM, M .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1986, 3 (06) :431-453

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

RABINOWITZ, PH .

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

[10]

Rabinowitz PH, 1986, MINIMAX METHODS CRIT

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