In this paper, we will consider the following multipoint boundary value problem for the following second-order dynamic equations on time scales where ฯ : R -โ R is an increasing homeomorphism and positive homomorphism and ฯ(0) = 0. By using fixed point theorems, we obtain an existence theorem of po
Positive solutions for two-point BVP's: existence and multiplicity results
โ Scribed by F.I. Njoku; F. Zanolin
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 547 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
By using the fixed-point index theory, several theorems of existence of positive solutions for second-order m-point boundary value problem with the first derivative are obtained, where the nonlinear term may be noncontinuous. An example illustrating the main results is given.
Using the method of upper and lower solutions and some degree theory arguments, we establish the existence of at least three solutions of some second-order nonlinear differential equations of the type subject to nonlinear three-point boundary conditions The growth of f with respect to x is allowed