Explicit bounds on retarded Gronwall-Bellman inequality

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Published: Mar 31, 2012
DOI: https://doi.org/10.5556/j.tkjm.43.2012.476
Keywords:
explicit bounds integral inequalities Gronwall-Bellman inequality

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Mohammad M.H Rashid
Department ofMathematics & Statistics, Faculty of Science P.O.Box(7),Mu’tah university,Mu’tah-Jordan.

Abstract

In this paper explicit bounds on retarded Gronwall-Bellman and Bihari-like integral inequalities are established.

Article Details

How to Cite
Rashid, M. M. (2012). Explicit bounds on retarded Gronwall-Bellman inequality. Tamkang Journal of Mathematics, 43(1), 99–108. https://doi.org/10.5556/j.tkjm.43.2012.476
Issue
Vol. 43 No. 1 (2012)
Section
Papers
Author Biography

Mohammad M.H Rashid, Department ofMathematics & Statistics, Faculty of Science P.O.Box(7),Mu’tah university,Mu’tah-Jordan.

References

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I. Bihari, A generalization of lemma of Bellman and its application to uniqueness problem of diAerential equations, Acta Math. Sci. Hungar., 7 (1965), 81--94.

I. Bihari, The asymptotic behaviour of a system of non-linear diAerential equations, Publ. Math. Inst. Hung. Acad. Sci., 8 (1964), 475--488.

B. G. Pachpatte, On some generalizations of Bellman's lemma, J. Math. Anal. Appl., 5 (1975), 141--150.

B. G. Pachpatte, Explicit bounds on certain integral inequalities, J. Math. Anal. Appl., 267 (2002), 48--61.