期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类非对称二阶系统正值同宿轨道的存在性 被引量：1

Existence of Positive Homoclinic Orbits for a Class of Non-symmetrical Systems
下载PDF
导出
摘要 利用变分逼近方法,证明了一类非对称系统u″(t)-a(t)u(t)+f(t,u(t))=0存在一条正值同宿轨道. By using variational approach, the authors study the existence of positive homoclinic orbits for a class of non-symmetrical systems u＂（ t ） - a（ t ）u（ t ） ＋ f（ t, u（ t ） ） =0.
作者 李成岳 路月峰 钟仕增 张卫杰
机构地区 中央民族大学数学与计算机科学学院
出处 《曲阜师范大学学报（自然科学版）》 CAS 2005年第4期6-10,共5页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金资助项目(1037100) 暨中央民族大学"十五"科研规划基金资助项目
关键词 HAMILTON系统 同宿轨道 山路引理 Hamiltonian system homoclinie orbit Mountain Pass Lemma
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献7

  • 1Rabinowitz P H. Homoclinic orbits for a class of Hamiltonian systems [J]. Proc Royl Soc Edingburgh,1990, 114A:33～ 38.
  • 2Coti Zelati, Ekeland, Sere. A variational approach to homoclinic orbits in Hamiltonian systems [J]. Math Ann, 1990,288:133 ～ 160.
  • 3Rabinowitz P H, Tanaka K. Some results on connecting orbits for a class of Hamiltonian systems [J]. Math Z, 1991,206:473 ～ 499.
  • 4Korman P, Lazer A. Homoclinic orbits for a class of symmetric Hamiltonian systems [ J]. Electronic Journal of differential equations,1994, (1):1 ～ 10.
  • 5李成岳,俞元洪.一类具有对称性的非线性微分方程的正值同宿轨道[J].高校应用数学学报（A辑）,2002,17(2):127-132. 被引量：2
  • 6Korman P, Lazer A, Yi Li. On homoclinic and heteroclinic orbits for Hamiltonian systems [J]. Differ Integral Equ, 1996,10(2):357～ 368.
  • 7Rabinowitz P H. Minimax methods in critical point theory with applications to differential equations [ J ]. CBMS Regional Conf( Series in Math), 1986,65.

二级参考文献7

  • 1[6]Omana W,Willem M.Homoclinic orbits for a class of Hamiltonian systems[J].Differential and Integral Equations,1992,5(5):1115-1120.
  • 2[7]Rabinowitz P H.Minimax methods in critical point theory with applications to differential equations[A].CBMS Regional Conf.Ser.in Math.,No.65[C],1986.
  • 3[1]Rabinowitz P H.Homoclinic orbits for a class of Hamiltonian systems[J].Proc.Roy.Soc.Edinburgh Sect.A,1990,114:33-38.
  • 4[2]Coti Zelati,Ekeland,Ser.A variational approach to homoclinic orbits in Hamiltonian systems[J].Math.Ann.,1990,288:133-160.
  • 5[3]Rabinowitz P H,Tanaka K.Some results on connecting orbits for a class of Hamiltonian systems[J].Math Z.,1991,206:473-499.
  • 6[4]Korman P,Lazer A.Homoclinic orbits for a class of symmetric Hamiltonian systems,Electronic Journal of Differential Equations[J].1994(1):1-10.
  • 7[5]Korman P,Ouyang T.Exact multiplicity results for two classes of boundary value problems[J].Differential and Integral Equations,1993,5(5):1507-1517.

共引文献1

同被引文献14

  • 1Tao Z L,Tang C L.Periodic solutions of second-order Hamiltonian systems[J].J Math Anal Appl,2004,293(2):435-445.
  • 2Ma S W,Zhang Y X.Existence of infinitely many periodic solutions for ordinary p-Laplacian systems[J].J Math Anal Appl,2009,351(1):469-479.
  • 3Faraci F,Livrea R.Infinitely many periodic solutions for a second-order nonautonomous system[J].Nonlinear Anal:TMA,2003,54(1):417-429.
  • 4Zhang P,Tang C L.Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems[J].Abstract and Applied Analysis,2010,(7):1-10.
  • 5Wu X P,Tang C L.Periodic solutions of a class of non-autonomous second-order systems[J].J Math Anal Appl,1999,236(8):227-235.
  • 6Wu X P,Tang C L.Periodic solutions for second order systems with not uniformly coercive potential[J].J Math Anal Appl,2001,215(7):386-397.
  • 7Tang C L.Multiplicity of periodic solutions for second-order systems with a small forcing tenn[J].Nonlinear Anal:TMA,1999,38(4):471-479.
  • 8Mawhin J,Willem M.Critical Point Theory and Hamiltonian Systems[M].New York:Springer-Verlag,1989.
  • 9Antonacci F,Magrone P.Second order nonautonomous systems with symmetric potential changing sign[J].Rend Mat Appl,1998,18(7):367-379.
  • 10Wu X P,Tang C L.Periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials[J].Nonlinear Anal:TMA,2003,55(6):759-769.

引证文献1

二级引证文献7

曲阜师范大学学报（自然科学版）
2005年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部