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Solvability of multipoint boundary value problems at resonance for higher-order ordinary differential equations

✍ Scribed by Xiaojie Lin; Zengji Du; Weigao Ge

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
483 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper is concerned with the existence of solutions for the following nth-order multipoint boundary value problems at resonance case x(")(t)=r(t,~(t),~'(t) ..... :~(n-~) (t)) + e (t), te (0,1), m--2 (o) = ~' (o) ..... ~(,,-2) (o1 = o, ~ (i) = ~ ~j~ (,j), j=l and x (~) (t) = f (t,x (t),x' (t) ..... x (n-l) (t)) q-e (t), t e (0, 1), rn-2 z (0) = x' (0) ..... x (n-2) (0) = 0, ~' (1) = ~ ~/(,j). j=l Some existence results are obtained by using the coincidence degree theory of Mawhin. @ 2005 Elsevier Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Solvability of nonlocal boundary value p
Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a -Laplacian
✍ Huihui Pang; Weigao Ge; Min Tian πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 301 KB

Nonlocal boundary value problems at resonance for a higher order nonlinear differential equation with a p-Laplacian are considered in this paper. By using a new continuation theorem, some existence results are obtained for such boundary value problems. An explicit example is also given in this paper