Multiplicity Of Periodic Solutions For Second Order Hamiltonian Systems With Mixed Nonlinearities

被引:0
作者
Mingwei Wang
Fei Guo
机构
[1] Tianjin University,School of Mathematics
来源
Acta Mathematica Scientia | 2021年 / 41卷
关键词
Multiplicity; periodic solutions; second order Hamiltonian systems; Symmetric Mountain Pass Lemma; 70H05; 34C25; 74G35; 58E30; 49J35;
D O I
暂无
中图分类号
学科分类号
摘要
The multiplicity of periodic solutions for a class of second order Hamiltonian system with superquadratic plus subquadratic nonlinearity is studied in this paper. Obtained via the Symmetric Mountain Pass Lemma, two results about infinitely many periodic solutions of the systems extend some previously known results.
引用
收藏
页码:371 / 380
页数:9
相关论文
共 27 条
[1]  
Berger M S(1977)On the solvability of semilinear gradient operator equations Adv Math 25 97-132
[2]  
Schechter M(2011)Multiplicity of periodic orbits for a class of second order Hamiltonian systems with superlinear and sublinear nonlinearity Chaos Soliton Fract 44 811-816
[3]  
Cheng B T(1998)Periodic solutions of second-order nonlinear Hamiltonian systems with superquadratic potentials having mean value zero Chinese J Contemp Math 19 333-342
[4]  
Chen G L(2016)Existence and multiplicity of periodic solutions for nonautonomous second order Hamiltonian systems Bound Value Probl 138 1-10
[5]  
Long Y M(2002)On periodic solutions of superquadratic Hamiltonian systems Electron J Differential Equations 8 1-12
[6]  
Chen X F(2012)Subharmonic solutions for nonautonomous second-order Hamiltonian systems Electron J Differential Equations 178 1-12
[7]  
Guo F(1978)Periodic solutions of Hamiltonian systems Comm Pure Appl Math 31 157-184
[8]  
Fei G H(2004)Periodic solutions for second order Hamiltonian systems with a change sign potential J Math Anal Appl 292 506-516
[9]  
Timoumi M(2016)Infinitely many homoclinic solutions for a second-order Hamiltonian system Math Nachr 289 116-127
[10]  
Rabinowitz P H(2004)Periodic and subharmonic solutions of second-order Hamiltonian systems J Math Anal Appl 293 435-445