Seshadev Padhi

On the Asymptotic Behaviour of Solutions of Third Order Delay Differential Equations

Abstract:
Sufficient conditions in terms of coefficient functions have been obtained so that all nonoscillatory solutions along with their first and second derivatives of the third order delay differential equation $$y'''(t)+a(t)y''(t)+b(t)y'(t)+c(t)y(g(t))=0$$ tend to zero as $t\rightarrow\infty$.

Keywords:
Oscillation, nonoscillation, disconjugate, asymptotic behaviour, delay differential equations.

MSC 2000: 34C10, 34C11