Oscillation and non-oscillation of solutions of second order difference equations involving generalized difference

N Parhi - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, sufficient conditions are obtained for oscillation/non-oscillation of solutions of
second order difference equations, involving generalized difference, of the form. andwhere …

Nonoscillation and oscillation of solutions of a class of third order difference equations

N Parhi, A Panda - Journal of mathematical analysis and applications, 2007 - Elsevier
Nonoscillation and oscillation of solutions of a class of third order difference equations Page
1 J. Math. Anal. Appl. 336 (2007) 213–223 www.elsevier.com/locate/jmaa Nonoscillation …

Existence of uncountably many bounded nonoscillatory solutions and their iterative approximations for second order nonlinear neutral delay difference equations

Z Liu, SM Kang, JS Ume - Applied Mathematics and Computation, 2009 - Elsevier
In this paper, the Banach fixed-point theorem is employed to establish several existence
results of uncountably many bounded nonoscillatory solutions for the second order …

Nonoscillation of second-order linear equations involving a generalized difference operator

J Sugie, M Tanaka - Advances in Difference Equations and Discrete …, 2017 - Springer
Our purpose here is to establish nonoscillation criteria for the second-order linear difference
equations of the form Δ _a (r_ n-1 Δ _ax_ n-1)+ p_nx_n= 0. Δ a (rn-1 Δ axn-1)+ pnxn= 0 …

Oscillation criteria for higher-order nonlinear delay dynamic equations on time scales

Y Bolat, Ö Akin - Mathematica Slovaca, 2016 - degruyter.com
In this paper, oscillation criteria are obtained for higher-order half-linear delay difference
equations involving generalized difference operator of the form Δ b (pn (Δ bm− 1 xn) α)+ …

A new general forward difference operator and some applications

Y Bolat, Ö Akın - Turkish Journal of Mathematics and Computer …, 2018 - dergipark.org.tr
In this study, the forward difference operator is defined in the most general form. As an
application we give some criteria on the behavior of solutions of some first-order difference …

Oscillation and nonoscillation criteria for second order difference equations with generalized difference operators

N DOGAN, Y BOLAT - Punjab University Journal of Mathematics, 2021 - journals.pu.edu.pk
In this study we investigate some new oscillation and nonoscillationcriteria and generalize
and improve some results in the literaturesfor second order nonlinear difference equation …

Nonoscillatory solutions for Emden-Fowler type difference equations

M Cecchi, Z Došlá, M Marini, I Vrkoč - Difference Equations, Special …, 2007 - World Scientific
Difference Equations, Special Functions and Orthogonal Polynomials : NONOSCILLATORY
SOLUTIONS FOR EMDEN-FOWLER TYPE DIFFERENCE E Page 1 159 NONOSCILLATORY …

[PDF][PDF] Generalized discrete Kneser's Theorems

Y Bolat - Journal of Contemporary Applied Mathematics, 2023 - journalcam.com
As is known, qualitative analysis of the solutions of difference equations has a growing
interest in the last three decade. In thes qualitative analysis, Kneser's Theorem has the large …

q-Karamatine funkcije i asimptotska svojstva rešenja nelinearnih q-diferencnih jednačina

KS Đorđević - Универзитет у Нишу, 2021 - nardus.mpn.gov.rs
The purpose of the doctoral dissertation is to determine the conditions for the existence and
to examine in detail the asymptotic properties of solutions of the second order nonlinear q …