Existence of Solutions of Nonlinear Neutral Integrodifferential Equations in Banach Spaces
By Jerald P. Dauer, Krishnan Balachandran. 2000
49 citations recorded by the source corpus.
Abstract 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.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/34ea6af06b050362110b9adf31df5686ab027037
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In Applied Mathematics
In Computational Theory and Mathematics
In Control and Systems Engineering
Citations in the corpus
- Almost sure exponential stability for stochastic neutral partial functional differential equations (2005, background): “See also, Wu [19] and Dauer and Balachandran [3].”