Electron. J. Diff. Equ., Vol. 2010(2010), No. 10, pp. 1-13.

Explicit estimates for some mixed integral inequalities

Baburao G. Pachpatte

Abstract:
The main objective of this paper is to establish explicit estimates for some mixed integral inequalities, which can be used as tools in the study of qualitative behavior of solutions to certain integral equations. Discrete analogues and some applications of one of our results are also given.

Submitted September 21, 2009. Published January 16, 2010.
Math Subject Classifications: 34K10, 35K10, 39A10.
Key Words: Integral inequalities; qualitative behavior; approximate solutions; dependency of solutions on parameters; closeness of solutions.

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Baburao G. Pachpatte
57 Shri Niketan Colony, Near Abhinay Talkies
Aurangabad 431 001, Maharashtra, India
email: bgpachpatte@gmail.com

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