A Novel Approach for the Stability Analysis of State Dependent Differential Equation

Authors

  • Sertaç Erman Department of Mathematics, Kocaeli University, Umuttepe, 41380 Izmit - Kocaeli
  • Ali Demir Department of Mathematics, Kocaeli University, Umuttepe, 41380 Izmit Kocaeli

DOI:

https://doi.org/10.26713/cma.v7i2.373

Keywords:

Asymptotic stability, State depended delay, Delay di¤erential equation

Abstract

In this paper, we investigate the stability of a di¤erential equation with state-dependent delay under some conditions on delay term. New necessary and su¢ cient criterions are elaborated for the asymptotic stability of the di¤erential equations with state dependent delay. Moreover, the asymptotic stability of it is illustrated for a special delay function.

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References

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Published

04-11-2016
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How to Cite

Erman, S., & Demir, A. (2016). A Novel Approach for the Stability Analysis of State Dependent Differential Equation. Communications in Mathematics and Applications, 7(2), 105–113. https://doi.org/10.26713/cma.v7i2.373

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Research Article