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**On retarded integral inequalities in two independent variables and their applications.**
*(English)*
Zbl 1118.26025

Authors’ abstract: The object of this paper is to establish some nonlinear retarded integral inequalities in two independent variables which can be used as handy tools in the theory of partial differential and integral equations with time delays.

Reviewer: Qingkai Kong (DeKalb)

### MSC:

26D15 | Inequalities for sums, series and integrals |

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\textit{R. Xu} and \textit{Y. G. Sun}, Appl. Math. Comput. 182, No. 2, 1260--1266 (2006; Zbl 1118.26025)

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### References:

[1] | Bihari, I., A generalization of a lemma of Bellman and its applications to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar., 7, 71-94 (1956) · Zbl 0070.08201 |

[2] | Lipovan, O., A retarded integral inequality and its applications, J. Math. Anal. Appl., 285, 436-443 (2003) · Zbl 1040.26007 |

[3] | Lipovan, O., A retarded Gronwall-like inequality and its applications, J. Math. Anal. Appl., 252, 389-401 (2000) · Zbl 0974.26007 |

[4] | Ou-Iang, L., The boundedness of solutions of linear differential equations \(y\)″+\(A(t)y=0\), Shuxue JinZhan, l3, 409-415 (1957) |

[5] | Pachpatte, B. G., On some new inequalities related to certain inequalities in the theory of differential equations, J. Math. Anal. Appl., 189, 128-144 (1995) · Zbl 0824.26010 |

[6] | Pachpatte, B. G., Inequalities for differential and Integral Equations (1998), Academic Press: Academic Press New York · Zbl 1032.26008 |

[7] | Sun, Y. G., On retarded integral inequalities and their applications, J. Math. Anal. Appl., 301, 265-275 (2005) · Zbl 1057.26022 |

[8] | Tsamatos, P. Ch.; Ntouyas, S. K., On da Bellman-Bihari type integral inequality with delay, Period. Math. Hungar, 29, 91-94 (1991) · Zbl 0746.26011 |

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