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1
Content available remote Fourth order qualitative inspection of nonlinear neutral delay difference equation
Jesinthaangel R., Jawahar G. Gomathi, Aruna K.
Przegląd Elektrotechniczny
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2022
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R. 98, nr 7
66--69
EN
This paper aim is to investigate the nonlinear neutral fourth order difference equation in the form. We establish some conditions to assure that all solutions to this equation are oscillatory or nonoscillatory. We derived this using summation averaging technique and comparison principle. The main outcomes are illustrated using examples.
PL
W artykule badano nieliniowe równanie różnicowe czwartego rzędu. Ustalamy pewne warunki, aby zapewnić, że wszystkie rozwiązania tego równania są oscylacyjne lub nieoscylacyjne. Wyprowadziliśmy to za pomocą techniki uśredniania sumowania i zasady porównania. Główne wyniki zilustrowano na przykładach.
2
Content available remote Oscillation criteria for higher order neutral difference equations with oscillating coefficient
Migda M.
Fasciculi Mathematici
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2010
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Nr 44
85-93
EN
In this paper sufficient conditions for oscillation of all bounded solutions of the equation ...[wzór] where m ≥ 2, (pn) is an oscillatory sequence of real numbers, limn→∞ pn = 0, τ and σ are positive integers, f : N×R×R → R are established.
3
Content available remote Oscillation and non-oscillation of neutral difference equations of first order with positive and negative coefficients
Rath R., Padhy L. N., Misra N.
Fasciculi Mathematici
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2007
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Nr 37
57-65
EN
In this paper necessary and sufficient conditions have been obtained so that every solution of the Neutral Delay Difference Equation (NODE) where different symbols have there usual meaning, oscillates or tends to zero as n → infin for different ranges of {pn}- This paper generalizes some recent work. The results of this paper hold for linear, sublinear or super linear equations and also for homogeneous equations, i.e. when fn equiv 0.
4
Content available remote Oscillation criteria for high-order sublinear neutral delay forced difference equations with oscillating coefficients
Ozcan M., Bolat Y.
Demonstratio Mathematica
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2007
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Vol. 40, nr 4
853-857
EN
In this paper we are concerned with the oscillation of solutions of higher-order sublinear neutral type difference equation with an o oscillating coefficient of the form [...] where p(k) is an oscillatory function which is interesting. We obtain some comparison criteria for oscillatory behaviour. The results are new when n =2 and n = 3.
5
Content available remote Oscillation criteria for higher order functional difference equation with oscillating coeffcient
Bolat Y.
Demonstratio Mathematica
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2007
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Vol. 40, nr 1
161-168
EN
In this paper we are concerned with the oscillatory behaviour of solutions of a certain higher order nonlinear neutral type functional difference equation with oscillating coefficient. We obtain two sufficient criteria for oscillatory behaviour.
6
Content available Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
Migda M.
Opuscula Mathematica
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2006
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Vol. 26, no. 3
507-514
EN
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.
7
Content available remote On two second order half-linear difference equations
Zhang G., Cheng S. S.
Fasciculi Mathematici
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2005
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Nr 35
163-175
EN
In this paper, two second order half-linear difference equations are considered. By establishing their connections with a standard half-linear difference equation, we are able to obtain sufficient conditions for existence and nonexistence of eventually positive solutions.
8
Content available remote Necessary and sufficient conditions for oscillation of solutions of a first order forced nonlinear difference equation with several delays
Rath R. N., Padhy L. N.
Fasciculi Mathematici
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2005
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Nr 35
99-113
EN
In this paper necessary and sufficient conditions have been obtained so that every solution of the Neutral Delay Difference Equation (NDDE) oscillates or tends to zero as n —> &infin for different ranges of This paper improves and generalizes some recent work [2. 6, 8]. The results of this paper hold for linear, sublinear and superlinear equations and also for homogeneous equations, i.e. when fn ≡ 0.
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