Electron. J. Diff. Equ., Vol. 2014 (2014), No. 256, pp. 1-18.

Bounds for solutions to retarded nonlinear double integral inequalities

Sabir Hussain, Tanzila Riaz, Qing-Hua Ma, Josip Pecaric

Abstract:
We present bounds for the solution to three types retarded nonlinear integral inequalities in two variables. By doing this, we generalizing the results presented in [3,12]. To illustrate our results, we present some applications.

Submitted July 11, 2014. Published December 10, 2014.
Math Subject Classifications: 30D05, 26D10.
Key Words: Integral inequalities; Gronwall integral inequality; integro-differential equation; double integral.

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Sabir Hussain
Department of Mathematics
University of Engineering and Technology
Lahore Pakistan
email: sabirhus@gmail.com
Tanzila Riaz
Department of Mathematics
University of Engineering and Technology
Lahore Pakistan
email: tanzila.ch@hotmail.com
  Qing-Hua Ma
Department of Applied Mathematics
Guangdong University of Foreign Studies
Guangzhou 510420, China
email: gdqhma@21cn.com
  J. Pecaric
Faculty of Textile Technology, University of Zagreb Pierottijeva 6
10000 Zagreb, Croatia
email: pecaric@element.hr

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