Oscillation and non-oscillation of some neutral differential equations of odd order.
Oscillation behavior of third-order neutral Emden-Fowler delay dynamic equations on time scales.
Oscillation criteria for a class of second-order neutral delay dynamic equations of Emden-Fowler type.
Oscillation criteria for certain second-order nonlinear neutral differential equations of mixed type.
Oscillation criteria for even order neutral equations with distributed deviating argument.
Oscillation criteria for first-order nonlinear neutral delay differential equations.
Oscillation criteria for forced neutral differential equations
Oscillation criteria for second order neutral differential equations
Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation (x(t)-px(t-))"+q(t)x((t))=0.
Oscillation criteria for second order superlinear neutral delay differential equations.
Oscillation criteria for second-order neutral delay dynamic equations with mixed nonlinearities.
Oscillation criteria for second-order neutral differential equations with distributed deviating arguments.
Oscillation criteria for second-order nonlinear neutral delay differential equations.
Oscillation criteria for second-order quasilinear neutral delay dynamic equations on time scales.
Oscillation criteria for second-order superlinear neutral differential equations.
Oscillation criteria of second order neutral delay dynamic equations with distributed deviating arguments.
Oscillation Criteria of Second-Order Quasi-Linear Neutral Delay Difference Equations
2000 Mathematics Subject Classification: 39A10.The oscillatory and nonoscillatory behaviour of solutions of the second order quasi linear neutral delay difference equation Δ(an | Δ(xn+pnxn-τ)|α-1 Δ(xn+pnxn-τ) + qnf(xn-σ)g(Δxn) = 0 where n ∈ N(n0), α > 0, τ, σ are fixed non negative integers, {an}, {pn}, {qn} are real sequences and f and g real valued continuous functions are studied. Our results generalize and improve some known results of neutral delay difference equations.
Oscillation in neutral equations with an “integrally small” coefficient.
Oscillation in neutral partial functional-differential equations and inequalities.
Oscillation of a class of higher order neutral differential equations
In this paper, we investigate a class of higher order neutral functional differential equations, and obtain some new oscillatory criteria of solutions.
Oscillation of a higher order neutral differential equation with a sub-linear delay term and positive and negative coefficients
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.