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二阶微分系统一维P-Laplacian非奇异离散Dirichlet边值问题
Nonsingular Discrete Dirichlet BVPs for the Second-order Differential Systems with One-dimension P-Laplacian
【摘要】 本文主要研究二阶微分系统一维p-Laplacian非奇异离散Dirichlet边值问题,利用Leray-Schauder非线性抉择定理和Schauder不动点定理证明了此问题的解的存在性定理,推广并改进了已有结果。
【Abstract】 In this paper we study the nonsingular discrete Dirichlet boundary value problem for the second-order differential systems one-dimension P-Laplacian,we prove the existence of solutions for these BVPs by using the Leray-Schauder nonlinear alternative theorem and Schauder cone fixed-point theorem.Our results extend and improve the existing results.
【关键词】 非奇异;
离散;
Dirichlet边值问题;
存在性;
【Key words】 nonsingular; discrete; Dirichlet boundary value problem; existence;
【Key words】 nonsingular; discrete; Dirichlet boundary value problem; existence;
【基金】 国家自然科学基金(10571021)
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2008年04期
- 【分类号】O175.8
- 【下载频次】62