| Boundary value problems of discrete generalized Emden-Fowler equation |
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| 引用本文： | YU Jianshe & GUO Zhiming College of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China. Boundary value problems of discrete generalized Emden-Fowler equation[J]. 中国科学A辑(英文版), 2006, 49(10): 1303-1314. DOI: 10.1007/s11425-006-1999-z |
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| 作者姓名： | YU Jianshe & GUO Zhiming College of Mathematics and Information Sciences Guangzhou University Guangzhou 510006 China |
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| 作者单位： | YU Jianshe & GUO Zhiming College of Mathematics and Information Sciences，Guangzhou University，Guangzhou 510006，China |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
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| 摘 要： | By using the critical point theory, some sufficient conditions for the existence of the solutions to the boundary value problems of a discrete generalized Emden-Fowler equation are obtained. In a special case, a sharp condition is obtained for the existence of the boundary value problems of the above equation. For a linear case, by the discrete variational theory, a necessary and sufficient condition for the existence, uniqueness and multiplicity of the solutions is also established.
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| 收稿时间： | 2005-02-03 |
| 修稿时间： | 2005-04-17 |
Boundary value problems of discrete generalized Emden-Fowler equation |
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| YU Jianshe,GUO Zhiming. Boundary value problems of discrete generalized Emden-Fowler equation[J]. Science in China(Mathematics), 2006, 49(10): 1303-1314. DOI: 10.1007/s11425-006-1999-z |
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| Authors: | YU Jianshe GUO Zhiming |
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| Affiliation: | College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China |
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| Abstract: | By using the critical point theory, some sufficient conditions for the existence of the solutions to the boundary value problems of a discrete generalized Emden-Fowler equation are obtained. In a special case, a sharp condition is obtained for the existence of the boundary value problems of the above equation. For a linear case, by the discrete variational theory, a necessary and sufficient condition for the existence, uniqueness and multiplicity of the solutions is also established. |
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| Keywords: | discrete generalized Emden-Fowler equation boundary value problem Saddle Point Theorem discrete variational theory |
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