Oscillation Criteria for Even-order Nonlinear Neutral Differential Equations of Mixed Type (communicated By
نویسندگان
چکیده
This paper deals with oscillation criteria for even order nonlinear neutral mixed type differential equations of the form
منابع مشابه
Oscillation Criteria for Second-order Nonlinear Neutral Differential Equations of Mixed Type
Some oscillation criteria are established for the second order nonlinear neutral differential equations of the form ((x(t) + ax(t− τ1)− bx(t+ τ2)) ) ′′ = q(t)x(t− σ1) + p(t)x (t+ σ2), and (x(t) − ax(t− τ1) + bx(t+ τ2) )′′ = q(t)x(t− σ1) + p(t)x (t+ σ2) where α and β are the ratios of odd positive integers with β ≥ 1. Examples are provided to illustrate the main results.
متن کاملOscillation criteria for nth order nonlinear neutral differential equations
In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form
متن کاملNonlinear oscillation of certain third-order neutral differential equation with distributed delay
The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...
متن کاملOscillation of Nonlinear Neutral Delay Differential Equations of Second Order
Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear ...
متن کاملNew oscillation criteria for first order nonlinear neutral delay differential equations
Oscillation criteria are obtained for all solutions of first-order nonlinear neutral delay differential equations. Our results extend and improve some results well known in the literature. Some examples are considered to illustrate our main results.
متن کامل