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Existence of solutions of a nonlinear mixed neutral equation

✍ Scribed by K. Balachandran; J.P. Dauer

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
266 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

The existence of a unique solution to the nonlinear mixed neutral equation

is proven, as is the continuous dependence of the solution on initial conditions.

πŸ“œ SIMILAR VOLUMES

Existence of solutions of nonlinear abst
Existence of solutions of nonlinear abstract neutral integrodifferential equations
✍ 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 of Solutions of Nonlinear Neut
Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces
✍ 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.