| 非线性V时标动态系统解的存在性与唯一性 |
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| 引用本文： | 罗华.非线性V时标动态系统解的存在性与唯一性[J].高校应用数学学报(A辑),2017,32(1). |
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| 作者姓名： | 罗华 |
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| 作者单位： | 东北财经大学数学学院,辽宁大连,116025 |
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| 基金项目： | 国家自然科学基金，教育部规划基金，辽宁省优秀人才支持计划 |
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| 摘 要： | 引入V时标的概念,并对一类非线性V时标动态系统非共振边值问题,在非线性项不跨相应线性问题的特征值时,运用临界点理论,获得了问题解的存在性和唯一性定理.
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| 关 键 词： | V时标 边值问题 可解性 唯一性 临界点理论 |
Existence and uniqueness of solutions for a nonlinear V-time scales boundary value problem of dynamic system |
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| LUO Hua.Existence and uniqueness of solutions for a nonlinear V-time scales boundary value problem of dynamic system[J].Applied Mathematics A Journal of Chinese Universities,2017,32(1). |
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| Authors: | LUO Hua |
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| Abstract: | This paper introduces a concept of V-time scales, and establishes the existence and uniqueness of solutions for a nonlinear V-time scales boundary value problem of dynamic system under some non-resonance conditions. The main result is based upon the distribution of eigenvalues of the corresponding linear problem, and the main tool is the critical point theory. |
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| Keywords: | V-time scales boundary value problem existence uniqueness critical point theory |
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