Oscillation criteria for a class of second-order nonlinear differential equations with damping term.
Oscillation criteria for certain nonlinear fourth order equations.
Oscillation criteria for certain second-order nonlinear neutral differential equations of mixed type.
Oscillation criteria for differential equation
Oscillation criteria for even order neutral equations with distributed deviating argument.
Oscillation Criteria for First Order Delay Differential Equations
2000 Mathematics Subject Classification: 34K15.This paper is concerned with the oscillatory behavior of first-order delay differential equation of the form x'(t) + p(t)x (τ(t)) = 0.
Oscillation criteria for first-order nonlinear neutral delay differential equations.
Oscillation criteria for forced neutral differential equations
Oscillation criteria for forced nonlinear elliptic equations of arbitrary order
Oscillation criteria for forced second-order mixed type quasilinear delay differential equations.
Oscillation criteria for fourth order half-linear differential equations
Criteria for oscillatory behavior of solutions of fourth order half-linear differential equations of the form where is a constant and is positive continuous function on , are given in terms of an increasing continuously differentiable function from to which satisfies .
Oscillation criteria for fourth-order linear differential equations
Oscillation criteria for functional differential equations.
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 nonlinear differential equations with -Laplacian
Recently there has been an increasing interest in studying -Laplacian equations, an example of which is given in the following form In particular, the first study of sufficient conditions for oscillatory solution of -Laplacian equations was made by Zhang (2007), but to our knowledge, there has not been a paper which gives the oscillatory conditions by utilizing Riccati inequality. Therefore, we establish sufficient conditions for oscillatory solution of nonlinear differential equations with...
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.