Forced oscillation of hyperbolic equations with mixed nonlinearities
نویسندگان
چکیده
In this paper, we consider the mixed nonlinear hyperbolic equations with forcing term via Riccati inequality. Some sufficient conditions for the oscillation are derived by using Young's inequality and integral averaging method.
منابع مشابه
Oscillation Criteria for Forced Second-Order Functional Dynamic Equations with Mixed Nonlinearities on Time Scales
We are concerned with the oscillation of certain forced second-order functional dynamic equation with mixed nonlinearities. Our results in a particular case solve a problem posed by Anderson, and our results in the special cases when the time scale is the set of real numbers and the set of integers involve and improve some oscillation results for second-order differential and difference equatio...
متن کاملOscillation criteria for first and second order forced difference equations with mixed nonlinearities
Some new criteria for the oscillation of certain difference equations with mixed nonlinearities are established. The main tool in the proofs is an inequality due to Hardy, Littlewood, and Pólya. c © 2006 Elsevier Ltd. All rights reserved.
متن کاملInterval Oscillation Criteria for Second Order Mixed Nonlinear Forced Impulsive Differential Equation with Damping Term
In this paper, interval oscillation criteria are established for second order forced impulsive differential equations with mixed nonlinearities of the form ⎧⎪⎨ ⎪⎩ ( r(t)Φα(x′(t)) )′ + p(t)Φα(x′(t))+q(t)Φα(x(t))+ n ∑ i=1 qi(t)Φβi (x(t)) = e(t), t = τk, x(τk) = akx(τk), x′(τk+) = bkx′(τk), k = 1,2, . . . . The results obtained in this paper extend some of the existing results and are illustrated ...
متن کاملOscillation of Forced Impulsive Differential Equations with Γ-laplacian and Nonlinearities given by Riemann-stieltjes Integrals
In this article, we study the oscillation of second order forced impulsive differential equation with γ-Laplacian and nonlinearities given by Riemann-Stieltjes integrals of the form
متن کاملOscillation of Solutions for Forced Nonlinear Neutral Hyperbolic Equations with Functional Arguments
This article studies the forced oscillatory behavior of solutions to nonlinear hyperbolic equations with functional arguments. Our main tools are the integral averaging method and a generalized Riccati technique.
متن کامل