Electronic Journal of Qualitative Theory of Differential Equations
In this article, the contraction mapping principle and Liapunov's method are used to study qualitative properties of nonlinear Volterra equations of the form x(t)=a(t)−∫t0C(t,s)g(s,x(s))ds,t≥0. In particular, the existence of bounded solutions and solutions with various Lp properties are studied under suitable conditions on the functions involved with this equation.
Copyright © 2008, Electronic Journal of Qualitative Theory of Differential Equations
Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences
Place of Publication
Islam, Muhammad and Neugebauer, Jeffrey T., "Qualitative Properties of Nonlinear Volterra Integral Equations" (2008). Mathematics Faculty Publications. 60.