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On the Stability and Boundedness of Solutions of Certain Non-Autonomous Delay Differential Equation of Third Order
Department of Mathematics, Lagos State University, Ojo, Nigeria
Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
- 1 Department of Mathematics, Lagos State University, Ojo, Nigeria
- 2 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
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Abstract
In this paper, we study certain non-autonomous third order delay differential equations with continuous deviating argument and established sufficient conditions for the stability and boundedness of solutions of the equations. The conditions stated complement previously known results. Example is also given to illustrate the correctness and significance of the result obtained.
KeywordsAsymptotic StabilityBoundednessLyapunov FunctionalDelay Differential EquationsThird-Order Delay Differential Equations
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