On a Class of Gronwall-Bellman Type Inequalities - Advances in Pure Mathematics

APM > Vol.4 No.6, June 2014

Advances in Pure Mathematics

Volume 4, Issue 6 (June 2014)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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On a Class of Gronwall-Bellman Type Inequalities ()

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DOI: 10.4236/apm.2014.46038 4,905 Downloads 6,373 Views

Author(s)

Zareen A. Khan

Affiliation(s)

Department of Mathematics, Princess Noura Bint Abdurehman University, Riyadh, KSA.

ABSTRACT

The aim of the present paper is to establish some new integral inequalities of Gronwall type involving functions of two independent variables which provide 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, Two Independent Variables, Partial Differential Equations, Nondecreasing, Nonincreasing

Share and Cite:

Khan, Z. (2014) On a Class of Gronwall-Bellman Type Inequalities. Advances in Pure Mathematics, 4, 289-294. doi: 10.4236/apm.2014.46038.

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