Stability Of Second Order Delay Differential Equations Using Modified Algebraic Approach

Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 9

Abstract

In this paper an algebraic approach have been developed to study the stability of second order delay differential equations. The method has its basis upon transforming the characteristic equations related to delay differential equations into an equivalent system of two algebraic equations in order to evaluate the value of w, ,  which involves in the equations. The study of stability of the delay differential equation of second order, which depends upon the value of time lag which shows that the trivial solution of the characteristic equation is stable. Key words: Delay differential equations (DDEs), Characteristicequations, Time lag interval, Asymptotic stability , Second order delay differential equations, Algebraic equations.

Authors and Affiliations

SubhransuSundar Das, Dhirendra Kumar Dalai, PurnaChandra Nayak

Keywords

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  • EP ID EP398056
  • DOI -
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How To Cite

SubhransuSundar Das, Dhirendra Kumar Dalai, PurnaChandra Nayak (2018). Stability Of Second Order Delay Differential Equations Using Modified Algebraic Approach. International Journal of Engineering and Science Invention, 7(9), 30-40. https://europub.co.uk/articles/-A-398056