Multipoint boundary value problems with discontinuities I. Algorithms and applications
β Scribed by Wayne Welsh; Takeo Ojika
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 726 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0377-0427
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## Abstract We study the nonlinear boundary value problem with nonhomogeneous multiβpoint boundary condition Sufficient conditions are found for the existence of solutions of the problem based on the existence of lower and upper solutions with certain relation. Using this existence result, under s
We obtain a new fixed point theorem in cone, which extend the Krasnosel'skii's compression-expansion theorem in cones. Under a quite relaxed condition two theorems for the existence of positive solutions of p-Laplacian boundary value problems are proved.