Nonlinear three-point third-order boundary value problems
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摘要
In this paper we consider three-point boundary value problems for third-order differential equations. We provide simple sufficient conditions in order to obtain a priori bounds on solutions. We then rely on the topological transversality theorem of Granas or on Schaefer’s theorem to prove existence of solutions.
论文关键词：Third-order differential equations,Three-point boundary value problems,A priori bound on solutions,Granas topological transversality theorem,Schaefer fixed point theorem
论文评审过程：Available online 23 February 2007.
论文官网地址：https://doi.org/10.1016/j.amc.2007.02.039
