Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations
β Scribed by K. Balachandran; D.G. Park; S.Marshal Anthoni
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 632 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
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.
π SIMILAR VOLUMES
In this paper, we establish a set of sufficient conditions for the existence of mild solutions of nonlinear neutral integrodifferential equations in Banach spaces by using the Schaefer fixed-point theorem. An application is provided to illustrate the theory.
In this paper, some existence theorems of nonoscillatory solutions for nth order nonlinear neutral functional differential equations are obtained. Our results extend some known results in recent years.
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.
In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.
In this paper, we study a class of neutral partial functional integrodifferential equations with finite delay by using the theory of resolvent operators. We give some sufficient conditions ensuring the existence, uniqueness and regularity of solutions. As an application, we also consider a diffusive