Nonlinear Volterra integral equations in Henstock integrability setting

Electronic Journal of Differential Equations

关键词: Nonlinear Volterra equation;    Henstock integral;    Darbo's fixed point theorem;   

DOI  :  

来源: DOAJ

【 摘 要 】

We prove the existence of global solutions for nonlinearVolterra-type integral equations involving the Henstock integralin Banach spaces. The functions governing the equation are supposedto be continuous only with respect to some variables and tosatisfy someintegrability or boundedness conditions.Our result improvesthe similar one given in [16](where uniform continuity was required), as well as those referredtherein. Then a related existence result is deduced in theset-valued case.

【 授权许可】

Unknown