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In this paper we establish some new retarded integral inequalities which provide explicit bounds on unknown functions. Applications are also given to illustrate the usefulness of one of our results.
Czasopismo
Rocznik
Tom
Strony
85--98
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- 57 Shri Niketan Colony, Near Abhinay Talkies, Aurangabad 431 001 (Maharashtra) India, bgpachpatte@hotmail.com
Bibliografia
- [1] D. Bainov, p. Simeonov, Integral Inequalities and Applications, Kluwer Academic Publishers, Dordrecht, 1992.
- [2] L.E. El'sgol'ts, S.B. Norkin, Introduction to the theory and applications of differential equations with deviating arguments, Academic Press, New York, 1973.
- [3] O. Lipovan, a retarded Gronwall-like inequality and its applications, J. Math. Anal. Appl., 252(2000), 389-401.
- [4] B.G. Pachpatte, Inequalities for Differential and Integral Equations, Academic Press, New York, 1998.
- [5] B.G. Pachpatte, On some fundamental integral inequalities and their discrete analogues, J. Inequal. Pure and AppL Math., 2(2)Art.15, 2001.
- [6] B.G. Pachpatte, On some retarded integral inequalities and applications, J. Inequal. Pure and Appl. Math., 3(2) Art. 18, 2002.
- [7] B.G. Pachpatte, Explicit bounds on certain integral inequalities, J. Math. Anal. Appl., 267(2002), 48-61.
- [8] W. Walter, Differential and Integral Inequalities, Springer-Verlag, New York, 1970.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0048-0092