| 时标上二阶非线性动力方程边值问题非平凡解的存在性 |
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| 引用本文： | 童东付. 时标上二阶非线性动力方程边值问题非平凡解的存在性[J]. 淮阴师范学院学报(自然科学版), 2011, 10(6): 471-475 |
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| 作者姓名： | 童东付 |
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| 作者单位： | 淮阴师范学院数学科学学院,江苏淮安,223300 |
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| 摘 要： | 利用的主要工具是Leray-Schauder选择定理,研究了时标上二阶动力方程边值问题,在没有使用现有文献中常见的单调方法和对F非负假设的条件下,给出了其平凡解存在的充分条件.
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| 关 键 词： | 时标 二阶动力方程 边值条件 非平凡解 |
Existence of Nontrivial Solutions for Second-order Dynamic Equations Boundary Value Problems on Time Scales |
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| TONG Dong-fu. Existence of Nontrivial Solutions for Second-order Dynamic Equations Boundary Value Problems on Time Scales[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2011, 10(6): 471-475 |
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| Authors: | TONG Dong-fu |
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| Affiliation: | TONG Dong-fu(School of Mathematical Science,Huaiyin Normal University,Huaian Jiangsu 223300,China) |
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| Abstract: | This paper mainly deals with the second-order dynamic equations boundary value problems.Sufficient conditions for the existence of nontrivial solutions are given without nonnegative assumption and monotonicity in the literature.The main tool is based on Leray-Schauder nonlinear alternative. |
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| Keywords: | second-order dynamic equation boundary value conditions nontrivial solution |
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