On Volterra-type integral equations in noncompact metric space

Journal of inequalities and applications

Andrey Zahariev¹ 

关键词: Volterra-type integral equations;    metric space;    Banach space;    integral inequalities;   

DOI  :  10.1186/1029-242X-2014-260

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present work, we consider one of the possible generalizations of linear and nonlinear Volterra integral equations of the second kind in the case when the independent variable belongs to an arbitrary noncompact metric space. Sufficient conditions are obtained for the existence of solutions of Volterra-type integral equations in the nonhomogeneous case. Some applications of the obtained results to the integral inequalities are given. MSC:35Q99, 35R35, 65M12, 65M70.

【 授权许可】

CC BY