Solutions to a Three-Point Boundary Value Problem

被引：0
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作者：
Jin Liang
Zhi-Wei Lv
机构：
[1] Shanghai Jiao Tong University,Department of Mathematics
[2] Anyang Institute of Technology,Department of Mathematics and Physics
[3] University of Science and Technology of China,Department of Mathematics
来源：
Advances in Difference Equations | / 2011卷
关键词：
Boundary Condition; Differential Equation; Banach Space; Partial Differential Equation; Unique Solution;
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摘要：
By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem [inline-graphic not available: see fulltext],  [inline-graphic not available: see fulltext]; [inline-graphic not available: see fulltext]; [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] are constants, [inline-graphic not available: see fulltext] is a parameter, and [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] are given functions. New existence theorems are obtained, which extend and complement some existing results. Examples are also given to illustrate our results.
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