Volume 3,  Issue 2, 2002

Article 18

ON SOME RETARDED INTEGRAL INEQUALITIES AND APPLICATIONS

B.G. PACHPATTE

DEPARTMENT OF MATHEMATICS,
MARATHWADA UNIVERSITY,
AURANGABAD 431 004,
(MAHARASHTRA), INDIA
E-Mail: bgpachpatte@hotmail.com

Received 11 July, 2001; 13 November, 2001.
Communicated by: S.S. Dragomir

ABSTRACT.   The aim of this paper is to establish explicit bounds on certain retarded integral inequalities which can be used as convenient tools in some applications. The two independent variable generalisations of the main results and some applications are also given.
Key words:
Retarded integral inequalities, Explicit bounds, Two independent variable generalisations, Qualitative study, Nondecreasing, Change of variable, Integrodifferential equation, Uniqueness of solutions.

2000 Mathematics Subject Classification:
26D15, 26D20.

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Other papers in this issue

An Error Estimate for Finite Volume Methods for the Stokes Equations
A. Alami-Idrissi and M. Atounti 

On Some Retarded Integral Inequalities and Applications 
B.G. Pachpatte 

Littlewood's Inequality for p-Bimeasures
Nasser Towghi

Monotonicity Properties of the Relative Error of a Padé Approximation for Mills' Ratio
Iosif Pinelis 

Integral Inequalities of the Ostrowski Type
A.Sofo

Multidimensional Extension of L.C. Young's Inequality
Nasser Towghi 

Inequalities for Lattice Constrained Planar Convex Sets
 Poh Wah Hillock and Paul R. Scott 

Some Results Concerning Best Uniform Coapproximation
Geetha S. Rao and R. Saravanan

Strongly Elliptic Operators for a Plane Wave Diffraction Problem in Bessel Potential Spaces
L.P. Castro

Some Integral Inequalities Involving Taylor's Remainder. I
Hillel Gauchman

On Multidimensional Grüss Type Inequalities
Baburao G. Pachpatte

Two Remarks on the Stability of Generalized Hemivariational Inequalities
 Mohamed Ait Mansour 

Note on the Perturbed Trapezoid Inequality
 Xiao-liang Cheng and Jie Sun

On a Noncoercive System of Quasi-Variational Inequalities Related to Stochastic Control Problems
M. Boulbrachene, M. Haiour and B. Chentouf

An Inequality Improving the First Hermite-Hadamard Inequality for Convex Functions Defined on Linear Spaces and Applications for Semi-Inner Products
 S.S. Dragomir

 

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