Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem
Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem
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DOI：
10.1155/2010/839474
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发表时间：
2010-06
影响因子：
1.4
通讯作者：
Ruyun Ma;Chenghua Gao;Yong-Kui Chang
中科院分区：
文献类型：
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作者：
Ruyun Ma;Chenghua Gao;Yong-Kui Chang
让两个整数加上和let。在涉及两参数线性特征值问题的非共振条件下，证明了非线性四阶离散边值问题解的存在性。我们还研究了共振线性问题的非线性摄动解的存在性和多解性。
Let be two integers with and let . We show the existence of solutions for nonlinear fourth-order discrete boundary value problem , , , under a nonresonance condition involving two-parameter linear eigenvalue problem. We also study the existence and multiplicity of solutions of nonlinear perturbation of a resonant linear problem.