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A more generalized Gronwall-like integral inequality with applications. (English) Zbl 1014.26015

Summary: This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by H. Engler [Math. Z. 202, No. 2, 251-259 (1989; Zbl 0697.73033)] and B. G. Pachpatte [Indian J. Pure Appl. Math. 23, No. 2, 131-140 (1992; Zbl 0751.26005)]. The new Gronwall-like integral inequality can be used in various problems in the theory of certain classes of ordinary and integral equations.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
26D15 Inequalities for sums, series and integrals
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