On the qualitative behaviour of solutions to certain second order nonlinear differential equation with delay
Annali Dell'universita' Di Ferrara(2016)
Abstract
This paper establishes explicit criteria in form of inequalities for all solutions to a class of second order nonlinear differential equations (with and without delay) to be bounded, ultimately bounded and globally asymptotically stable using Lyapunov second method. Obtained results are new and they complement existing results in the literature. Some examples are given to illustrate the main results.
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Key words
Boundedness,Delay differential equation,Global asymptotic stability,Lyapunov function
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