Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation
Radhanath N. Rath, Niyati Misra, Laxmi N. Padhy (2007)
Mathematica Slovaca
Similarity:
Radhanath N. Rath, Niyati Misra, Laxmi N. Padhy (2007)
Mathematica Slovaca
Similarity:
Jozef Džurina (1994)
Mathematica Bohemica
Similarity:
In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation are compared with those of the functional differential equation .
Julio G. Dix, Dillip Kumar Ghose, Radhanath Rath (2009)
Mathematica Bohemica
Similarity:
We obtain sufficient conditions for every solution of the differential equation to oscillate or to tend to zero as approaches infinity. In particular, we extend the results of Karpuz, Rath and Padhy (2008) to the case when has sub-linear growth at infinity. Our results also apply to the neutral equation when has sign changes. Both bounded and unbounded solutions are consideted here; thus some known results are expanded.
Ján Ohriska (2008)
Open Mathematics
Similarity:
The aim of this paper is to derive sufficient conditions for the linear delay differential equation (r(t)y′(t))′ + p(t)y(τ(t)) = 0 to be oscillatory by using a generalization of the Lagrange mean-value theorem, the Riccati differential inequality and the Sturm comparison theorem.