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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Format: | Article |
Language: | English |
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Texas State University
2012-03-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2012/45/abstr.html |