First-order three-point boundary value problems at resonance

详细信息    查看全文

• 作者：Mesliza Mohamed^a ; ^{mesliza@perlis.uitm.edu.my"" rel=""nofollow} ; Bevan Thompson^b ; ^{hbt@maths.uq.edu.au"" rel=""nofollow} ; Muhammad Sufian Jusoh^c ; ^{muhdpian@yahoo.com"" rel=""nofollow}
• 关键词：First order ; Three-point boundary value problem ; Brouwer’ ; s Fixed Point Theorem ; At resonance
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2011
• 出版时间：15 June 2011
• 年：2011
• 卷：235
• 期：16
• 页码：4796-4801
• 全文大小：215 K

文摘

We consider three-point boundary value problems for a system of first-order equations in perturbed systems of ordinary differential equations at resonance. We obtain new results for the above boundary value problems with nonlinear boundary conditions. The existence of solutions is established by applying a version of Brouwer’s Fixed Point Theorem which is due to Miranda.