Solvability of a (p, n-p)-type multi-point boundary-value problem for higher-order differential equations
In this article, we study the differential equation $$ (-1)^{n-p} x^{(n)}(t)=f(t,x(t),x'(t),dots,x^{(n-1)}(t)), $$ subject to the multi-point boundary conditions $$displaylines{ x^{(i)}(0)=0 quad hbox{for }i=0,1,dots,p-1,cr x^{(i)}(1)=0 quad hbox{for }i=p+1,dots,n-1,cr sum_{i=1}^malpha_ix^{(p)}...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2003-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/120/abstr.html |