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New integral inequalities for nonlinear functions and their applications

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In this paper, we obtained new retarded integral inequalities which can beused as tools in certain integral equations. Some applications are also given to illustratethe usefulness of our results.

Abstract

In this paper, we obtained new retarded integral inequalities which can beused as tools in certain integral equations. Some applications are also given to illustratethe usefulness of our results.

참고문헌 (15)

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  8. T.H. Gronwall, "Note on the derivatives with respect to a parameter of the solutions of a system of di®erential equations", Ann. of Math, 20, pp.292~296 (1919)
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  11. B.G. Pachpatte, "On some new inequalities related to certain inequalities in the theory of di®erential equations", J. Math. Anal. Appl, 189, pp.128~144 (1995)
  12. B.G. Pachpatte, "Inequalities for Di®erential and Integral Equations" (1998), Academic Press
  13. B.G. Pachpatte, "Explicit bounds on certain integral inequalities", J. Math. Anal. Appl, 267, pp.48~61 (2002)
  14. B.G. Pachpatte, "On some new nonlinear retarded integral inequalities", J. Inequal. Pure and Appl. Math, 5(3), pp.80~ (2004)
  15. X. Zhao, "On some advanced integral inequalities and their applications", J. Inequal. Pure and Appl. Math, 6(3), pp.60~ (2005)

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