In this paper, the authors consider the nonlinear fourth order ordinary differential equation with the boundary conditions Some results on the existence and nonexistence of positive solutions to problem (E)-(B) are obtained. Results on the existence of infinitely many positive solutions are also p
First boundary-value problem for a certain fourth-order differential equation
β Scribed by V. A. Malovichko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1983
- Tongue
- English
- Weight
- 230 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
Singularly perturbed two-point boundary value problems (BVPs) for fourth-order ordinary differential equations (ODEs) with a small positive parameter multiplying the highest derivative are considered. A numerical method is suggested in this paper to solve such problems. In this method, the given BVP
Nonimprovable e ective su cient conditions for solvability and unique solvability of the boundary value problem where F : C([a; b]; R) β L([a; b]; R) is a continuous operator satisfying the CarathΓ eodory condition and h : C([a; b]; R) β R is a continuous functional, are established.