Abstract
Differential and integral equations in reflexive Banach spaces have gained great attention and hve been investigated in many studies and monographs. Inspired by those, we study the existence of the solution to a delay functional integral equation of Volterra-Stieltjes type and its corresponding delay-functional integro-differential equation in reflexive Banach space E. Sufficient conditions for the uniqueness of the solutions are given. The continuous dependence of the solutions on the delay function, the initial data, and some others parameters are proved.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference27 articles.
1. Weak solutions of ordinary differential equations in Banach spaces;Cichoń;Discuss. Differ. Inc. Control Optimal.,1995
2. Weak solutions for the dynamic Cauchy problem in Banach spaces
3. On the existence of weak solutions of differential equations in nonreflexive banach spaces
4. Solutions of differential equations in B-spaces
5. Kneser’s theorem for weak solutions of ordinary differential equations in Banach spaces;Kubiaczyk;Publ. Inst. Math.,1982
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献