On some new weakly singular Volterra integral inequalities with maxima and their applications

Journal of inequalities and applications

Yong Yan¹ 

关键词: integral inequalities;    weakly singular;    integro-differential equations with maxima;    uniqueness;    26D10;    26D15;   

DOI  :  10.1186/s13660-015-0892-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a general form of nonlinear integral inequalities with the unknown function composed with a given function on the left hand side, more than one distinct nonlinear integrals on its right-hand side, and weakly singular kernels, and involving maxima of unknown function. Requiring neither monotonicity nor separability of given functions, we apply monotonization to estimate the unknown function. Our result can be used to weaken conditions for some known results. We apply the obtained result to a boundary value problem of integro-differential equations with maxima for uniqueness.

【 授权许可】

CC BY