And Hale and Lunel's Fixed Point Theorems Bounded and Periodic Solutions Condensing Operators Finite and Infinite Delays Horn's Sadovskii's
Issue Date:
2004
Publisher:
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Citation:
Volume 11, Issue 6-May, Page 601-613
Abstract:
Consider the following evolution equations without delay or with finite or infinite delay in a
general Banach space X, u?(t) + A(t)u(t) = f(t,u(t)), t > 0, u?(t) + A(t)u(t) = f(t,u(t),ut), t > 0. We will analyze
some fixed point theorems and then see how they can be applied to derive periodic solutions for the above
mentioned equations.