Nonlocal boundary-value problems for n-th order ordinary differential equations by matching solutions
We are concerned with the existence and uniqueness of solutions to nonlocal boundary-value problems on an interval $[a,c]$ for the differential equation $y^{(n)}=f(x,y,y',dots,y^{(n-1)})$, where $ngeq 3$. We use the method of matching solutions, with some monotonicity conditions on $f$.
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Format: | Article |
Language: | English |
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Texas State University
2011-02-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2011/17/abstr.html |