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Multipoint boundary value problems for nonlinear ordinary differential equations

✍ Scribed by Jesús Rodriguez; Padraic Taylor


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
245 KB
Volume
68
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES


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Solutions, \(u(x)\), of the first order system, \(u^{\prime}=f(x, u)\), satisfying the multipoint boundary conditions, \(\sum_{i=1}^{k} M_{i} u\left(x_{j}\right)=r\), are differentiated with respect to the components of \(r\) and with respect to the boundary points, \(x_{j}\), where \(M_{1}, \ldots,

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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) ...