Oscillation criteria for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term
نویسندگان
چکیده
We obtain oscillation conditions for non-canonical second-order nonlinear delay difference equations with a superlinear neutral term. To cope types of equations, we propose new criteria the main equation when coefficient does not satisfy any that call it to either converge \(0\) or \(\infty\). Our approach differs from others in first turn into canonical form and as result, only require one condition weed out non-oscillatory solutions order induce oscillation. The conclusions made here are have been condensed significantly those found literature. For sake confirmation, provide examplesthat cannot be included earlier works.
منابع مشابه
Oscillation criteria for second-order nonlinear neutral delay dynamic equations
In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation ( r(t) (( y(t)+ p(t)y(t − τ))∆)γ )∆ + f (t, y(t − δ))= 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of the...
متن کاملOscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations
Some sufficient conditions are established for the oscillation of second-order neutral differential equation x t p t x τ t ′′ q t f x σ t 0, t ≥ t0, where 0 ≤ p t ≤ p0 < ∞. The results complement and improve those of Grammatikopoulos et al. Ladas, A. Meimaridou, Oscillation of second-order neutral delay differential equations, Rat. Mat. 1 1985 , Grace and Lalli 1987 , Ruan 1993 , H. J. Li 1996 ...
متن کاملOscillation Criteria for Second-Order Superlinear Neutral Differential Equations
and Applied Analysis 3 where τ t ≤ t, σ t ≤ t, τ ′ t τ0 > 0, 0 ≤ p t ≤ p0 < ∞, and the authors obtained some oscillation criteria for 1.7 . However, there are few results regarding the oscillatory problem of 1.1 when τ t ≥ t and σ t ≥ t. Our aim in this paper is to establish some oscillation criteria for 1.1 under the case when τ t ≥ t and σ t ≥ t. The paper is organized as follows. In Section ...
متن کاملOscillation of second order nonlinear neutral delay difference equations
In this paper sufficient conditions are obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form ∆(y(n) + p(n)y(n−m)) + q(n)G(y(n − k)) = 0 under various ranges of p(n). The nonlinear function G,G ∈ C(R,R) is either sublinear or superlinear. Mathematics Subject classification (2000): 39 A 10, 39 A 12
متن کاملOscillation criteria for nonlinear second-order difference equations with a nonlinear damped term
Sufficient conditions for the oscillation of solutions of the nonlinear second-order difference equation of the form [p(k)ψ(y(k)) y(k)] + q(k)h(y(k))g( y(k − r(k))) y(k) + f (k, y(k), y(k − s1(k)), y(k − s2(k)), . . . , y(k − sn(k))) = 0 are established. We obtain a series of results for oscillatory behaviour. © 2004 Elsevier Ltd. All rights reserved. MSC: 39A10
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: Electronic Journal of Differential Equations
سال: 2023
ISSN: ['1072-6691']
DOI: https://doi.org/10.58997/ejde.2023.45