一类具强制位势常p-Laplace系统的同宿解
Homoclinic Solutions for a Ordinary p-Laplacian Systems with Coercive Potential
摘要
利用逼近法和一些分析技巧,获得一类具强制位势常p-Laplace系统存在同宿解的一组充分条件.
Homoclinic solutions for a class of ordinary p-Laplacian systems with a coercive po tential were analyzed using approximation method with some analytical techniques. A new cri teflon of the existence of homoclinic solutions for the system was obtained.
出处
《广西科学》
CAS
2012年第3期213-217,共5页
Guangxi Sciences
基金
国家自然科学基金项目(11161051)
桂林航天工业学院校级项目(X12Z003)资助
关键词
常p-Laplace系统
同宿解
强制位势
ordinary p-Laplacian systems, homoclinic solutions, coercive potential
参考文献20
-
1Poincarfi H. Les m6thodes nouvelles de la m5canique c6leste[J]. Gauthier-Villars, Pairs, 1897-1899.
-
2Caldiroli P, Montecchiari P. Homoclinic orbits for sec- ond order Hamiltonian systems with potential changing sign['J]. J Comm Appl Nonlinear Anal, 1994,1 (2) : 97- 129.
-
3Coti-Zelati V, Ekeland I, Sere E. A variational approach to homoelinic orbits in Hamihonian systems[J]. Math Ann, 1990,288(1) : 133-160.
-
4Carrio P C,Miyagaki O H. Existence of homoclinic so- lutions for a class of time-dependent Hamiltonian sys- temsFJ]. J Math Anal Appl, 1999,230 .. 157-172.
-
5Ding Y H,Girardi M. Periodic and homoclinic solutions to a class of Hamiltonian systems with the potentials changing sign[J]. Dynam Systems Appl, 1993,2(1) : 131-145.
-
6Ding Y H. Existence and multiplicity results for homo- clinic solutions to a class of Hamiltonian systems [J]. Nonlinear Anal, 1995,25 (11) : 1095-1113.
-
7Ding Y H, Lee C. Homoclinics for asymptotically quad- ratic and superquadratic Hamiltonian systems[J]. Non- linear Anal,2009,71(56) :1395-1413.
-
8Izydorek M, Janczewska J. Homoclinic solutions for a class of second order Hamiltonian systems[J']. J Differ- ential Equations,2005,219(2) :375-389.
-
9Izydorek M,Janczewska J. Homoclinic solutions for non- autonomous second-order Hamiltonian systems with a coercive potential[J]. J Math Anal Appl, 2007,335 (2) : 1119-1127.
-
10Alves C O, Carriao P C, Miyagaki O H. Existence of homoclinic orbits for asymptotically periodic system involving Dulling- like equation [J]. Appl Math Lett, 2003,16 (5) : 639-642.
-
1吴东伦,吴行平,唐春雷.一类带强制位势的二阶Hamilton系统的同宿轨的存在性(英文)[J].西南师范大学学报(自然科学版),2011,36(1):52-57.
-
2潘文秀.非强制位势下二阶非自治系统周期解的存在性[J].数学的实践与认识,2014,44(18):246-249.
-
3刘嘉荃,刘祥清,王志强.带有限位势的非线性Schrdinger方程组的无穷多变号解[J].中国科学:数学,2016,46(5):587-604.