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Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Article

Explicit Estimates on Some Nonlinear Integral Inequalities in Two Independent Variables on Time Scales and Applications

pp. 131–144Vol. 12Issue 2July 2014DOI: 10.1080/1726037X.2014.979710XML
Received:
23 Jul 2014
Accepted:
21 Sep 2014
Published Online:
03 Dec 2014
Article type:
Article
Language:
EN
Article no.:
1726037X.2014.979710
Pages:
131–144

Abstract

The main objective in this paper is to investigate some nonlinear integral inequalities in two independent variables on time scales. The obtained inequalities can be used as handy tools to study the properties of certain partial dynamic equations on time scales.

Keywords

Subject Classifications

: 26D1526D2039A12

References

  1. Bohner, M., & AllanC. Peterson. ( 2001 ). Dynamic equations on time scales (Vol. 160 ). Boston: Birkhäuser .
  2. Bohner, M., & Peterson, A. C. (Eds.). ( 2002 ). Advances in dynamic equations on time scales . Springer .
  3. Boukerrioua, K., & Guezane-Lakoud, A. ( 2008 ). Some nonlinear integral inequalities arising in differential equations . Electronic Journal of Differential Equations , 2008 ( 80 ), 1 – 6 .
  4. Hilger, S.Ein Ma kettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten , PhD thesis, Universität. Würzburg ( 1988 ).
  5. Hilger, S. ( 1990 ). Analysis on measure chains––a unified approach to continuous and discrete calculus . Results in Mathematics , 18 ( 1-2 ), 18 – 56 .
  6. Pachpatte, B. G. ( 2005 ). On generalizations of Bihari's inequality . Soochow Journal of Mathematics , 31 ( 2 ), 261 – 271 .
  7. Lakhal, F. ( 2012 ). A new nonlinear integral inequality of Wendroff type with continuous and weakly singular kernel and its application . Journal of Mathematical Inequalities , 6 ( 3 ), 367 – 379 .
  8. Jiang, F., & Meng, F. ( 2007 ). Explicit bounds on some new nonlinear integral inequalities with delay . Journal of Computational and Applied Mathematics , 205 ( 1 ), 479 – 486 .
  9. Li, W. N., Han, M., & Wei Meng, F. ( 2005 ). Some new delay integral inequalities and their applications . Journal of Computational and Applied Mathematics , 180 ( 1 ), 191 – 200 .
  10. Wei Nian, L. ( 2011 ). Nonlinear integral inequalities in two independent variables on time scales . Advances in Difference Equations , 2011 .
  11. Kim, Y. H. ( 2009 ). Gronwall, Bellman and Pachpatte type integral inequalities with applications . Nonlinear Analysis: Theory, Methods & Applications , 71 ( 12 ), e2641 – e2656 .
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