Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati Method

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Oscillation Criteria for First-order Forced Nonlinear Difference Equations

where (i) {p(n)}, {e(n)} are sequences of real numbers; (ii) {qi(n)}, i= 1,2, are sequences of positive real numbers; (iii) λ, μ are ratios of positive odd integers with 0 < μ < 1 and λ > 1. By a solution of equation (1, i), i= 1,2,3, we mean a nontrivial sequence {x(n)}which is defined for n ≥ n0 ∈ N = {0,1,2, . . .} and satisfies equation (1, i), i = 1,2,3, and n = 1,2, . . . . A solution {x(...

متن کامل

Oscillation criteria for perturbed nonlinear dynamic equations

Keywords--Oscil lat ion, Second-order nonlinear dynamic equation, Time scale, Riccati transformation technique, Positive solution. 1. I N T R O D U C T I O N The theory of t ime scales, which has recently received a lot of attention, was introduced by Hilger in his Ph.D. thesis [1] in order to unify continuous and discrete analysis. Not only can this theory of so-called "dynamic equations" unif...

متن کامل

Oscillation 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

Oscillation Criteria for First Order Forced Dynamic Equations

x(t) + r(t)Φγ (x σ (t)) + p(t)Φα (x σ (t)) + q(t)Φβ (x σ (t)) = f(t), with Φη (u) := |u| u, η > 0. Here r(t), p (t) , q(t) and f (t) are rdcontinuous functions on T and the forcing term f(t) is not required to be the derivative of an oscillatory function. Our results in the special cases when T = R and T = N involve and improve some previous oscillation results for first-order differential and ...

متن کامل

Oscillation criteria for a forced second order nonlinear dynamic equation

In this paper, we will establish some new interval oscillation criteria for forced second-order nonlinear dynamic equation (p(t)x(t)) + q(t)|xσ(t)|γsgn x(t) = f(t), t ∈ [a, b], on a time scale T where γ ≥ 1. As a special case when T = R our results not only include the oscillation results for second-order differential equations established by Wong (J. Math. Anal. Appl., 231 (1999) 233-240) and ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Kyungpook mathematical journal

سال: 2016

ISSN: 1225-6951

DOI: 10.5666/kmj.2016.56.1.29