On Existence of Solutions of Impulsive Nonlinear Functional Neutral Integro-Differential Equations With Nonlocal Condition

Demonstratio mathematica

article

Rupali S. Jain¹  M. B. Dhakne² 

[1] SCHOOL OF MATHEMATICAL SCIENCES SWAMI RAMANAND TEERTH MARATHWADA UNIVERSITY NANDED-431606;DEPARTMENT OF MATHEMATICS DR. BABASAHEB AMBEDKAR MARATHWADA UNIVERSITY AURANGABAD-431004

关键词: impulsive;    functional;    neutral;    integro-differential equation;    fixed point;    nonlocal condition;   

DOI  :  10.1515/dema-2015-0029

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In the present paper, we investigate the existence, uniqueness and continuous dependence of mild solutions of an impulsive neutral integro-differential equations with nonlocal condition in Banach spaces. We use Banach contraction principle and the theory of fractional power of operators to obtain our results.

【 授权许可】

CC BY