Integral Inequalities of Gronwall-Bellman Type

Author(s)
Zareen A. Khan

Abstract

The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential and integral equations.

The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent variable which provides explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial differential and integral equations.

Keywords

Integral Inequalities, One Independent Variable, Partial Differential Equations, Nondecreasing, Nonincreasing

Integral Inequalities, One Independent Variable, Partial Differential Equations, Nondecreasing, Nonincreasing

Cite this paper

Khan, Z. (2014) Integral Inequalities of Gronwall-Bellman Type.*Applied Mathematics*, **5**, 3484-3488. doi: 10.4236/am.2014.521326.

Khan, Z. (2014) Integral Inequalities of Gronwall-Bellman Type.

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