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Volume 1, Issue 2, 2000

Article 20

ON INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN-BIHARI TYPE IN SEVERAL VARIABLES

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

DEPARTMENT OF MATHEMATICAL SCIENCES
UNIVERSITY OF AGRICULTURE
ABEOKUTA, NIGERIA.

 

Received 23 February, 2000; accepted 17 April 2000.
Communicated by: G. Anastassiou

ABSTRACT. We present some new results on the linear and non-linear integral inequalities of Gronwall-Bellman-Bihari type to n-dimensional integrals with a kernel of the form k(x,t) where x and t are in SÌRen.
These inequalities extend and compliment some existing results in the literature on Gronwall-Bellman-Bihari type inequalities.
Key words:
Gronwall-Bellman-Bihari inequality, good kernel, nonincreasing function, nondecreasing function, nonnegative function

2000 Mathematics Subject Classification:
26D15.
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Other papers in this issue

Ostrowski type inequalities from a linear functional point of view
I. Gavrea and B. Gavrea

A Grüss type inequality for sequences of vectors in inner product spaces and applications
 S.S. Dragomir

On an Bojanic-Stanojevic type inequality
 Z. Tomovski

Regularity results for vector fields of bounded distortion and applications
 A. Fiorenza and F. Giannetti

Inequalities for power-exponential functions
 F. Qi and L. Debnath

On the generalized strongly nonlinear implicit quasivariational inequalities for set-valued mappings
 Y.J. Cho, Z. He, Y. F. Cao and N. J. Huan

A new look at Newton's inequalities
 C. P. Niculescu

An application of almost increasing and d-quasi monotone sequences
 H. Bor

Several integral inequalities
 F. Qi

On integral inequalities of Gronwall-Bellman-Bihari type in several variables
 J. A. Oguntuase

Some inequalities for the expectation and variance of a random variable whose PDF is n-time differentiable
N.S. Barnett, P. Cerone, S.S. Dragomir and J. Roumeliotis

On a Strengthened Hardy-Hilbert Inequality
B. Yang

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