| CALCULUS OF VARIATIONS WITH DIRICHLET BOUNDARY VALUE PROBLEM FOR PERTURBED SECOND-ORDER DIFFERENTIAL EQUATIONS ON A HALF-LINE |
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| 引用本文： | Lian Hairong Ge Weigao (Dept. of Applied Math.,Beijing Institute of Technology,Beijing 100081). CALCULUS OF VARIATIONS WITH DIRICHLET BOUNDARY VALUE PROBLEM FOR PERTURBED SECOND-ORDER DIFFERENTIAL EQUATIONS ON A HALF-LINE[J]. Annals of Differential Equations, 2006, 0(3) |
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| 作者姓名： | Lian Hairong Ge Weigao (Dept. of Applied Math. Beijing Institute of Technology Beijing 100081) |
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| 作者单位： | Dept. of Applied Math.，Beijing Institute of Technology，Beijing 100081 |
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| 基金项目： | Supported by NNSF of China (10371006) and SRFDP(20050007011). |
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| 摘 要： | Dirichlet boundary value problems for perturbed second-order differential equations on a half line are investigated in this paper. The methods mainly depend on the calculus of variations to the classical functionals. Sufficient conditions are obtained for the existence of the solutions.
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CALCULUS OF VARIATIONS WITH DIRICHLET BOUNDARY VALUE PROBLEM FOR PERTURBED SECOND-ORDER DIFFERENTIAL EQUATIONS ON A HALF-LINE |
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| Lian Hairong Ge Weigao. CALCULUS OF VARIATIONS WITH DIRICHLET BOUNDARY VALUE PROBLEM FOR PERTURBED SECOND-ORDER DIFFERENTIAL EQUATIONS ON A HALF-LINE[J]. 微分方程年刊(英文版), 2006, 0(3) |
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| Authors: | Lian Hairong Ge Weigao |
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| Abstract: | Dirichlet boundary value problems for perturbed second-order differential equations on a half line are investigated in this paper. The methods mainly depend on the calculus of variations to the classical functionals. Sufficient conditions are obtained for the existence of the solutions. |
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| Keywords: | second-order differential equations infinite interval existence critical point |
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