Solvability of second-order boundary-value problems at resonance involving integral conditions

This article concerns the second-order differential equation with integral boundary conditions $$displaylines{ x''(t)=f(t,x(t),x'(t)),quad tin (0,1),cr x(0)=int_0^1x(s)dalpha(s),quad x(1)=int_0^1x(s)deta(s). }$$ Under the resonance conditions, we construct a projector and then...

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Bibliographic Details
Main Author: Yujun Cui
Format: Article
Language:English
Published: Texas State University 2012-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/45/abstr.html