Some dynamic inequalities applicable to partial integrodifferential equations on time scales

Deepak B. Pachpatte

Archivum Mathematicum (2015)

  • Volume: 051, Issue: 3, page 143-152
  • ISSN: 0044-8753

Abstract

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The main objective of the paper is to study explicit bounds of certain dynamic integral inequalities on time scales. Using these inequalities we prove the uniqueness of some partial integrodifferential equations on time scales.

How to cite

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Pachpatte, Deepak B.. "Some dynamic inequalities applicable to partial integrodifferential equations on time scales." Archivum Mathematicum 051.3 (2015): 143-152. <http://eudml.org/doc/271570>.

@article{Pachpatte2015,
abstract = {The main objective of the paper is to study explicit bounds of certain dynamic integral inequalities on time scales. Using these inequalities we prove the uniqueness of some partial integrodifferential equations on time scales.},
author = {Pachpatte, Deepak B.},
journal = {Archivum Mathematicum},
keywords = {explicit bounds; integral inequality; dynamic equations; time scales},
language = {eng},
number = {3},
pages = {143-152},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some dynamic inequalities applicable to partial integrodifferential equations on time scales},
url = {http://eudml.org/doc/271570},
volume = {051},
year = {2015},
}

TY - JOUR
AU - Pachpatte, Deepak B.
TI - Some dynamic inequalities applicable to partial integrodifferential equations on time scales
JO - Archivum Mathematicum
PY - 2015
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 051
IS - 3
SP - 143
EP - 152
AB - The main objective of the paper is to study explicit bounds of certain dynamic integral inequalities on time scales. Using these inequalities we prove the uniqueness of some partial integrodifferential equations on time scales.
LA - eng
KW - explicit bounds; integral inequality; dynamic equations; time scales
UR - http://eudml.org/doc/271570
ER -

References

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  8. Pachpatte, D.B., Properties of solutions to nonlinear dynamic integral equations on time scales, Electron. J. Differential Equations 2008 (2008), no. 130, 1–8. (2008) Zbl1165.39017MR2448891
  9. Pachpatte, D.B., Integral inequalities for partial dynamic equations on time scales, Electron. J. Differential Equations 2012 (2012), no. 50, 1–7. (2012) Zbl1238.26032MR2927786
  10. Pachpatte, D.B., Properties of some partial dynamic equations on time scales, Internat. J. Partial Differential Equations 2013 (2013), 9pp., Art. ID 345697. (2013) 
  11. Saker, S. H., 10.7153/jmi-04-50, J. Math. Inequalities 4 (2010), 561–579. (2010) Zbl1207.26034MR2777272DOI10.7153/jmi-04-50
  12. Saker, S.H., Bounds of double integral dynamic inequalities in two independent variables on time scales, Discrete Dynamics in Nature and Society (2011), Art. 732164. (2011) Zbl1238.26033MR2861953
  13. Saker, S.H., Some nonlinear dynamic inequalities on time scales, Math. Inequal. Appl. 14 (2011), 633–645. (2011) Zbl1222.26032MR2850178
  14. Sun, Y., Hassan, T., 10.1016/j.amc.2013.06.036, Appl. Math. Comput. 220 (2013), 221–225. (2013) MR3091847DOI10.1016/j.amc.2013.06.036

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