K Balachandran
Articles written in Proceedings – Mathematical Sciences
Volume 101 Issue 3 December 1991 pp 195-198
Continuous dependence for integrodifferential equations with infinite delay
Continuous dependence for integrodifferential equation with infinite delay$$\begin{gathered} \dot x = h(t,x) + \int_{ \sim \infty }^t {q(t,s,x(s))ds} + F(t,x(t),Sx(t))t \geqslant 0 \hfill \\ x(t) = \Phi (t) \hfill \\ \end{gathered} $$ where$$Sx(t) = \int_{ \sim \infty }^t {k(t,s,x(s))} ds$$ is studied under the assumption of existence of unique solution.
Volume 105 Issue 1 February 1995 pp 99-103
A note on integrable solutions of Hammerstein integral equations
We derive a set of sufficient conditions for the existence of solutions of a Hammerstein integral equation.
Volume 109 Issue 3 August 1999 pp 325-332
Existence of solutions of neutral functional integrodifferential equation in Banach spaces
In this paper we prove the existence of mild solutions for neutral functional integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed-point theorem.
Volume 110 Issue 2 May 2000 pp 225-232
In this paper we prove the existence of mild and strong solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal condition. The results are obtained by using semigroup theory and the Schauder fixed point theorem.
Volume 111 Issue 1 February 2001 pp 127-135
Boundary controllability of integrodifferential systems in Banach spaces
Sufficient conditions for boundary controllability of integrodifferential systems in Banach spaces are established. The results are obtained by using the strongly continuous semigroup theory and the Banach contraction principle. Examples are provided to illustrate the theory.
Volume 130, 2020
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