Oscillation criteria for impulsive dynamic equations on time scales.
Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term
2000 Mathematics Subject Classification: 34C10, 34C15.Some new criteria for the oscillation of all solutions of second order differential equations of the form (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0, and the more general equation (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+p(t)φ(g(x),r(t) ψ(x)|dx/dt|α−2 (dx/dt))+q(t)g(x)=0, are established. our results generalize and extend some known oscillation criterain in the literature.
Oscillation criteria for retarded differential equations with a nonlinear damping term.
Oscillation criteria for second order impulsive dynamic equations on time scales.
Oscillation criteria for second order linear differential equations with damping.
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 nonlinear perturbed differential equations.
Oscillation criteria for second order self-adjoint matrix differential equations
Some results concerning oscillation of second order self-adjoint matrix differential equations are obtained. These may be regarded as a generalization of results for the corresponding scalar equations.
Oscillation criteria for second-order forced dynamic equations with mixed nonlinearities.
Oscillation criteria for second-order nonlinear differential equations with damping term.
Oscillation criteria for third-order linear differential equations
Oscillation criteria in neutral equations of -order with variable coefficients.
Oscillation criterions
Oscillation for forced second-order nonlinear dynamic equations on time scales.
Oscillation for higher order nonlinear ordinary differential equations with impulses.
Oscillation in neutral equations with an “integrally small” coefficient.
Oscillation in second order functional equations with deviating arguments.
Oscillation of a forced higher order equation
We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.
Oscillation of a forced nonlinear differential equation
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.