𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations

✍ 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

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Existence of solutions of nonlinear abst
✍ K. Balachandran; G. Shija; J.H. Kim πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 571 KB

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.

Existence for positive solutions of seco
✍ I. CulΓ‘kovΓ‘; L’. HanuΕ‘tiakovΓ‘; Rudolf Olach πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 321 KB

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.

Existence of Solutions of Nonlinear Neut
✍ J.P Dauer; K Balachandran πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 102 KB

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.

Existence and regularity of solutions fo
✍ Khalil Ezzinbi; Saifeddine Ghnimi πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 322 KB

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