On the existence of the three point boundary value problem at resonance in Rn

Phan Đinh Phung, Le Xuan Truong,
Journal of Mathematical Analysis and Applications,
Volume 416, Issue 2, 15 August 2014, Pages 522–533

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Abstract

We apply a coincidence degree theorem due to Mawhin to obtain a sufficient condition for the existence of at least one solution for a class of nonlinear second-order differential equations in Rⁿ associated with three point boundary conditions.

Keywords

Coincidence degree theorem;
Three point boundary value problem;
Resonance