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Estimates on solutions of some weakly singular Volterra integral inequalities. (Chinese. English summary) Zbl 1032.26009

Summary: M. Medved [J. Math. Anal. Appl. 214, 349-366 (1997; Zbl 0893.26006)] proposed a new approach for the estimation of solutions to Henry-type and Bihari-type integral inequalities with weakly singular kernels. In the present paper, a modified version of this approach is used to obtain pointwise explicit bounds on solutions to a class of more general weakly singular integral inequalities of Volterra-type. Some application examples are also indicated.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
45D05 Volterra integral equations
45J05 Integro-ordinary differential equations

Citations:

Zbl 0893.26006
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