Positive and monotone solutions of an m-point boundary-value problem
We study the second-order ordinary differential equation $$ y''(t)=-f(t,y(t),y'(t)),quad 0leq tleq 1, $$ subject to the multi-point boundary conditions $$ alpha y(0)pm eta y'(0)=0,quad y(1)=sum_{i=1}^{m-2}alpha_iy(xi_i),. $$ We prove the existence of a positive solution (and mono...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-02-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/18/abstr.html |