Existence of solutions to ibvp for nonlinear second order equations with functional dependence
β Scribed by Henryk Leszczynski
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 492 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Sufficient conditions for existence of mild solutions for abstract second-order neutral functional integrodifferential equations are established by using the theory of strongly continuous cosine families of operators and the Schaefer theorem.
We afford a existence criterion of positive solutions of a boundary value problem concerning a second order functional differential equation by using the Krasnoselskii fixed point theorem on cones in Banach spaces. Moreover, we also apply our results to establish several existence theorems of multip
We consider the nonlinear neutral differential equations. This work contains some sufficient conditions for the existence of a positive solution which is bounded with exponential functions. The case when the solution converges to zero is also treated.
## Abstract The Cauchy problem for nonlinear parabolic differentialβfunctional equations is considered. Under natural generalized Lipschitzβtype conditions with weights, the existence and uniqueness of unbounded solutions is obtained in three main cases: (i) the functional dependence __u__(__Β·__);