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Asymptotic behavior of solutions of second order neutral difference equations with "maxima"

100%

Luo J. , Yu Y.

2001

tom Vol. 34, nr 1

83-89

Second order neutral difference equations with "maxima" are considered and some asymptotic properties of nonoscillatory solutions are given.

Oscillations of some difference equations

100%

Szafrański Z. , Szmanda B.

Fasciculi Mathematici

1998

tom Nr 28

149-155

Oscillation criteria for nonlinear difference equation ofthe fonn [...] are estab1ished. These criteria extend those in [13-15] and [18].

Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations

100%

Naito M.

2023

tom Vol. 43, no. 2

221--246

We consider the half-linear differential equation (|x′|αsgn x′)′ + q(t)|x|αsgn x = 0, t ≥ t0, under the condition [formula] It is shown that if certain additional conditions are satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as t → ∞.

Oscillatory and nonoscillatory solutions of neutral differential equations

100%

Tanaka S.

2000

tom 73

nr 2

169-184

Neutral differential equations are studied. Sufficient conditions are obtained to have oscillatory solutions or nonoscillatory solutions. For the existence of solutions, the Schauder-Tikhonov fixed point theorem is used.

Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, I

100%

Naito M.

Opuscula Mathematica

2021

tom Vol. 41, no. 1

71--94

We consider the half-linear differential equation of the form [formula], under the assumption [formula]. It is shown that if a certain condition is satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as t →∞.

Oscillatory properties of fourth order nonlinear difference equations with quasidifferences

100%

Schmeidel E. , Migda M. , Musielak A.

tom Vol. 26, no. 2

371-380

In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.

Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations

100%

Migda M.

tom Vol. 26, no. 3

507-514

In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form Δm(xn + pnxn-τ) + f(n, xσ(n)) = hn. We present conditions under which all nonoscillatory solutions of the above equation have the property xn = cnm-1 + o(nm-1) for some c ∈ R.

Oscillations of equations caused by several deviating arguments

100%

Chatzarakis G. E.

Opuscula Mathematica

2019

tom Vol. 39, no. 3

321--353

Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given. More precisely, sufficient conditions, involving limsup and liminf, are obtained, which essentially improve several known criteria existing in the literature. Examples illustrating the results are also given, numerically solved in MATLAB.

Oscillation and non-oscillation criteria for a neutral delay difference equation of first order

75%

Rath R. , Rath S. K.

tom Nr 42

109-120

In this paper, necessary and sufficient condition are obtained so that every bounded solution of Δ(yn - yn-k) + qnG(yσ(n)) = 0 is oscillatory, under a condition weaker than ...[wzór]

Comparison theorems for n-th order nonlinear differential inequalities with deviating argument

63%

Seman J.

Fasciculi Mathematici

1999

tom Nr 29

113-124

This paper deals with comparison theorems for oscillatorineess all solutions of the n-th order nonlinear differential inequalities with quasiderivativer and deviatimg argument of a form [formula]