Title :
Nonlocal Problems of Nonlinear n-th Order Mixed Impulsive Integro-Differential Equations in Banach Spaces
Author_Institution :
Dept. of Math. & Phys., Anhui Univ. of Archit., Hefei, China
Abstract :
Using Monch fixed point theorem and progressive estimation method, we study the existence of solutions to nonlocal Cauchy problem for nonlinear n-th order mixed impulsive integro-differential equations in Banach spaces. Certain restricted conditions on a priori estimation and noncompactness measure estimation are not being used.
Keywords :
Banach spaces; fixed point arithmetic; initial value problems; integro-differential equations; nonlinear equations; Banach spaces; Monch fixed point theorem; nonlinear n-th order mixed impulsive integro-differential equations; nonlocal Cauchy problem; progressive estimation method; Abstracts; Differential equations; Equations; Estimation; Extraterrestrial measurements; Integral equations; Banach spaces; fixed point; integro-differential equation; noncompactness measure; nonlocal condition;
Conference_Titel :
Business Computing and Global Informatization (BCGIN), 2012 Second International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4673-4469-2
DOI :
10.1109/BCGIN.2012.151
