Global Existence of Solutions for Nonlinear integral equations of second order.

Autor: Tidke, H. L.
Předmět:
Zdroj: Journal of Applied Functional Analysis; Jan2010, Vol. 5 Issue 1, p113-120, 8p
Abstrakt: We prove the existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions in Banach spaces. The results are obtained by using the theory of strongly continuous cosine family, application of the topological transversality theorem known as Leray-Schauder alternative and rely on a priori bounds of solutions. [ABSTRACT FROM AUTHOR]
Databáze: Supplemental Index