Sufficient conditions are given under which the existence of solutions of 4-point nonlocal boundary value problems, for nth order nonlinear ordinary differential equations, yields the existence of unique solutions of (k + 2)-point boundary value problems, for 1 โค k โค n -1. The results are motivated
Existence and uniqueness of solutionsfor nonlocal boundary vector value problems of ordinary differential systems with higher order
โ Scribed by Bing Liu
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 444 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, we give existence and uniqueness results for solutions of nonlocal bound-a~y vector value problems of the form
where n >_ 2, f :
Lebesgue measurable N1 x Nl-matrix function and it satisfies g(0) = 0, the integral is in sense of Riemann-Stieltjes. The existence of a solutions is proven by the coincidence degree theory. As an application, we also give one example to demonstrate our results.
๐ SIMILAR VOLUMES
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