Half-linear differential equations of fourth order: oscillation criteria of solutions
نویسندگان
چکیده
Abstract In this paper, we are concerned with the oscillation of solutions to a class fourth-order delay differential equations p -Laplacian like operators $( r ( t ) \vert x^{\prime \prime } ^{p_{1}-2}x^{\prime ^{\prime }+q x \tau ^{p_{2}-2}x =0$ ( r t ) | x ? p 1 ? 2 ? + q ? = 0 and }+\sigma ^{p_{1}-2}x^{ +q ? . New criteria presented by comparison technique employing Riccati transformation. Moreover, our results an extension complement previous in literature. Two examples shown illustrate conclusions.
منابع مشابه
Sharp Oscillation Criteria for Fourth Order Sub-half-linear and Super-half-linear Differential Equations
This paper is concerned with the oscillatory behavior of the fourth-order nonlinear differential equation (E) (p(t)|x| x)′′ + q(t)|x|x = 0 , where α > 0, β > 0 are constants and p, q : [a,∞) → (0,∞) are continuous functions satisfying conditions
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 Second Order Half-linear Differential Equations with Damping
This paper is concerned with a class of second order half-linear damped differential equations. Using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of the existing results. 2000 Mathematics Subject Classification: 34A30, 34C10.
متن کاملOscillation of solutions of some higher order linear differential equations
We shall assume that reader is familiar with the fundamental results and the standard notations of the Nevanlinna value distribution theory of meromorphic functions(see [11,14]). In addition, we will use the notation σ(f) to denote the order of growth of entire function f(z), σ2(f) to denote the hyper-order of f(z), λ(f)(λ2(f)) to denote the exponent(hyper-exponent) of convergence of the zero-s...
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: Advances in Continuous and Discrete Models
سال: 2022
ISSN: ['2731-4235']
DOI: https://doi.org/10.1186/s13662-022-03699-4