期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Multiplicity of Homoclinic Solutions for Second Order Hamiltonian Systems
摘要/Abstract
摘要：
研究了一类二阶哈密尔顿系统在超二次条件下的同宿解的多重性问题.传统的方法是利用山路引理，寻找鞍点型临界点来解决同宿解的存在性.利用喷泉定理，推广了原有的结论，证明了在超二次条件下同宿解的多重性问题.
Abstract：
The multiplicity of homoclinic solutions for a class of second order Hamiltonian systems under the superquadratic condition is studied in this paper.The traditional method is to use the mountain pass lemma to find the critical point of saddle point type so as to solve the existence of homoclinic solutions.Using the Fountain theorem,our results extend some previously known results and prove the multiplicity of homoclinic solutions under the superquadratic condition.
关键词
Key words：
multiplicity
;
homoclinic solutions
;
second order Hamiltonian systems
;
Fountain theorem
参考文献 6
- [1] WU D L,TANG C L,WU X P.Subharmonic and Homoclinic Solutions for Second Order Hamiltonian Systems with New Superquadratic Conditions[J].Chaos Soliton Fract,2015,73:183-190.doi:10.1016/j.chaos.2015.01.019
- [2] TANG X H.Infinitely Many Homoclinic Solutions for a Second-order Hamiltonian System[J].Math Nachr,2016,289(1):116-127.doi:10.1002/mana.201200253
- [3] JIANG W,ZHANG Q Y.Multiple Homoclinic Solutions for Superquadratic Hamiltonian Systems[J].Electron J Differential Equations,2016,2016:1-12.
- [4] TANG X H,LIN X Y.Homoclinic Solutions for a Class of Second-order Hamiltonian Systems[J].J Math Anal Appl,2009,354(2):539-549.doi:10.1016/j.jmaa.2008.12.052
- [5] LI C,AGARWAL R,DANIEL P.Infinitely Many Periodic Solutions for a Class of New Superquadratic Second-order Hamiltonian Systems[J].Appl Math Lett,2017,64:113-118.doi:10.1016/j.aml.2016.08.015
- [6] LJV Y,TANG C L.Existence and Multiplicity of Homoclinic Orbits for Second-order Hamiltonian Systems with Superquadratic Potential[J].Abstr Appl Anal,2013,2013:1-12.doi:10.1155/2013/328630