Oscillation of fourth-order quasilinear differential equations
نویسندگان
چکیده
منابع مشابه
Kamenev-type Oscillation Criteria for Second-order Quasilinear Differential Equations
We obtain Kamenev-type oscillation criteria for the second-order quasilinear differential equation (r(t)|y′(t)|α−1y′(t))′ + p(t)|y(t)|β−1y(t) = 0 . The criteria obtained extend the integral averaging technique and include earlier results due to Kamenev, Philos and Wong.
متن کاملOscillation Results for Even-order Quasilinear Neutral Functional Differential Equations
In this article, we use the Riccati transformation technique and some inequalities, to establish oscillation theorems for all solutions to evenorder quasilinear neutral differential equation “ˆ` x(t) + p(t)x(τ(t)) ́(n−1) ̃γ”′ + q(t)x ` σ(t) ́ = 0, t ≥ t0. Our main results are illustrated with examples.
متن کاملOscillation of Solutions to Fourth-order Trinomial Delay Differential Equations
The objective of this article is to study the oscillation properties of the solutions to the fourth-order linear trinomial delay differential equation y(t) + p(t)y′(t) + q(t)y(τ(t)) = 0. Applying suitable comparison principles, we present new criteria for oscillation. In contrast with the existing results, we establish oscillation of all solutions, and essentially simplify the examination proce...
متن کاملOscillation 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.
متن کاملOscillation of Fourth-order Dynamic Equations
In this paper we shall reduce the problem of the oscillation of all solutions of certain nonlinear fourth-order dynamic equations to the problem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature. Further oscillation criteria of fourth-order equations are given and proved using integration and Taylor’s formula on time scales. Some conditions ...
متن کاملذخیره 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: Mathematica Bohemica
سال: 2015
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2015.144459