Backward problems of nonlinear dynamical equations on time scales

Yunfei Peng; X. Xiang; W. Wei

doi:10.3934/dcdss.2011.4.1553

Article Contents

2011, Volume 4, Issue 6: 1553-1564. Doi: 10.3934/dcdss.2011.4.1553

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Backward problems of nonlinear dynamical equations on time scales

1.
Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025
2.
Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025
3.
Department of Mathematics, Guizou University, Guiyang, Guizhou Province

Received: February 2009

Revised: November 2009

Published: December 2011

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Abstract

In this paper, the backward problem of nonlinear dynamical equations on time scales is considered. Introducing the reasonable weak solution of the nonlinear backward problem, the existence of weak solution for nonlinear dynamical equation on time scales and its properties are presented.

Keywords:

Time scales,
Backward problem,
Integral function with variable lower limit,
Weak solution.

Mathematics Subject Classification: Primary: 37M10, 34A34.

Citation:

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References

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