Abstract
Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.
Highlights
The Gronwall-type integral inequalities provide necessary tools in the study of the theory of differential equations, integral equations, and inequalities of various types
The result has been used in the study of global existence of solutions of a retarded differential equations and estimation of solution of function differential equation, Cheung [2]
The result has been used in the study of certain initial boundary value problem for hyperbolic partial differential equations, Cheung and Ma [3]
Summary
The Gronwall-type integral inequalities provide necessary tools in the study of the theory of differential equations, integral equations, and inequalities of various types. Some such inequalities can be found in the works of Agarwal, Deng et al [1]. The result has been used in the study of certain initial boundary value problem for hyperbolic partial differential equations, Cheung and Ma [3]. The result has been used in the study of global existence of solutions for a partial differential equations, Pachpatte [4,5,6,7,8,9]. In [16] a new interesting Gronwall—like integral inequality involving iterated integrals has been established
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