Volume 2,  Issue 1, 2001

Article 9

 

ON AN INEQUALITY OF GRONWALL 

J.A. OGUNTUASE
E-Mail: adedayo@unaab.edu.ng

DEPARTMENT OF MATHEMATICAL SCIENCES
UNIVERSITY OF AGRICULTURE
ABEOKUTA, NIGERIA

Received 23 May, 2000; accepted 09 November 2000.
Communicated by: P. Cerone

ABSTRACT. In this paper, we obtain some new Gronwall-Bellman type integral inequalities, and we give an application our results in the study of boundedness of the solutions of nonlinear integrodifferential equations.
Key words:
Gronwall Inequality, Nonlinear Integrodifferential Equation, Nondecreasing Function, Nonnegative Continuous Functions, Partial Derivatives, Variational Equation

2000 Mathematics Subject Classification:
26D10, 26D20, 34A40

 

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On a Inequality of Gronwall
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Complete Systems of Inequalities
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On Some Applications of the AG Inequality in Information Theory
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