Integral Inequalities of Gronwall-Bellman Type - Applied Mathematics

AM > Vol.5 No.21, December 2014

Applied Mathematics

Volume 5, Issue 21 (December 2014)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Integral Inequalities of Gronwall-Bellman Type ()

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Download as PDF (Size: 2502KB) PP. 3484-3488

DOI: 10.4236/am.2014.521326 6,526 Downloads 8,570 Views Citations

Author(s)

Zareen A. Khan

Affiliation(s)

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

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.

KEYWORDS

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

Share and Cite:

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

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[2]	Further Nonlinear Retarded Integral Inequalities for Gronwall–Bellman Type and Their Applications
	2019

[3]	Nonlinear retarded integral inequalities of Gronwall-Bellman type and applications
	2016

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