Forced Oscillation for Functional Differential Equations of Fourth Order

Forced Oscillation for Higher Order Functional Differential Equations

We establish some oscillation criteria for the solutions to forced higher-order differential equations. We do not assume that the forcing term is the n-th derivative of an oscillatory function, and do not assume that the coefficients are of a definite sign. Our results are illustrated with examples.

Oscillation criteria for certain fourth order nonlinear functional differential equations

Some new criteria for the oscillation of the fourth order functional differential equation d dt ( 1 a3(t) ( d dt 1 a2(t) ( d dt 1 a1(t) ( d dt x(t) )α1)α2)α3) + δq(t) f (x[g(t)]) = 0, where δ = ±1 are established. c © 2006 Elsevier Ltd. All rights reserved.

Oscillation of Volterra Integral Equations and Forced Functional Differential Equations

Oscillation theorems for second order nonlinear forced differential equations

In this paper, a class of second order forced nonlinear differential equation is considered and several new oscillation theorems are obtained. Our results generalize and improve those known ones in the literature.

Oscillation of Third-order Functional Differential Equations

The aim of this paper is to study oscillatory and asymptotic properties of the third-order nonlinear delay differential equation (E) ˆ a(t) ˆ x ′′(t) ̃ γ ̃ ′ + q(t)f(x [τ (t)]) = 0. Applying suitable comparison theorems we present new criteria for oscillation or certain asymptotic behavior of nonoscillatory solutions of (E). Obtained results essentially improve and complement earlier ones. Variou...