Title of article :
Asymptotic and Oscillatory Behavior of Solutions to Nonlinear Delay Equations
Author/Authors :
T.V. Kostova، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 1993
Pages :
17
From page :
415
To page :
431
Abstract :
It is known that the general solution of a linear delay differential equation is given by the renewal equation involving the fundamental solution. The latter is a special solution satisfying discontinuous initial data. In this paper we represent the fundamental solution of a linear delay differential equation as a sum of solutions with smooth initial data. Using this result, we derive an asymptotic approximation for the solution of a nonlinear delay differential equation in the case when its characteristic equation has only roots with negative real parts. As a corollary we state a sufficient condition for the solutions of such equations to have oscillatory behavior.
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
1993
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
937817
Link To Document :
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