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  1. 11 Fasciculi Mathematici
  2. 10 Opuscula Mathematica
  3. 6 Acta Neurobiologiae Experimentalis
  4. 5 Demonstratio Mathematica
  5. 4 Journal of Applied Analysis
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  1. 2 2023
  2. 5 2022
  3. 1 2021
  4. 4 2020
  5. 4 2019
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  1. 4 Grace S. R.
  2. 3 Konopacki J.
  3. 3 Parhi N.
  4. 3 Thandapani E.
  5. 3 Tripathy A. K.
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1
Oscillation of delay differential equations
100%
Džurina J.
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1997
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tom 17
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nr 1-2
97-105
EN
Our aim in this paper is to present the relationship between property (B) of the third order equation with delay argument y'''(t) - q(t)y(τ(t)) = 0 and the oscillation of the second order delay equation of the form y''(t) + p(t)y(τ(t)) = 0.
2
Content available remote Oscilltion of solutions to impulsive delay differential equations
100%
Li W. T. , Saker S. H.
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tom [Z] 42(1)
63-74
EN
In this paper we shall consider the impulsive delay differential equations with variable coefficients. Some new sufficient conditions for oscillation of all solutions are obtained. Our results extend and improve some well known results in the literature.
3
Content available remote Oscillation of difference equations with several positive and negative coefficients
100%
Öğünmez H. , Öcalan Ö.
Fasciculi Mathematici
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2013
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tom Nr 51
115--122
EN
Our aim in this paper is to obtain sufficient conditions for the oscillation of every solution of first order difference equations ...[wzór] where pi, qi ∈ R+ and ki, li ∈ N for i = 1, 2,..., m.
4
Content available remote On asymptotic behaviour and oscillation of forced first order nonlinear neutral difference equations
80%
Parhi N. , Tripathy A. K.
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tom Nr 32
83-95
EN
Oscillatory and asymptotic behaviour of solutions of forced first order nonlinear neutral delay difference equations of the from (mathematical formula) is studied under appropriate assumptions on sequences of real numbers {qn} and {q(n) {f(n)} and {fn} and G belong to class C(R, R). The behaviour of solutions of mathematical formula is also discussed where {pa} is allowed to change sign.
5
Content available remote New oscillation criteria for first order nonlinear delay differential equations
80%
Tang X. , Shen J.
Colloquium Mathematicum
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2000
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tom 83
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nr 1
21-41
EN
New oscillation criteria are obtained for all solutions of a class of first order nonlinear delay differential equations. Our results extend and improve the results recently obtained by Li and Kuang [7]. Some examples are given to demonstrate the advantage of our results over those in [7].
6
Content available Properties of even order linear functional differential equations with deviating arguments of mixed type
80%
Dzurina J.
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|
tom Vol. 42, no. 5
659--671
EN
This paper is concerned with oscillatory behavior of linear functional differential equations of the type y(n)(t) = p(t)y(τ (t)) with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of (0,∞). Our attention is oriented to the Euler type of equation, i.e. when p(t) ∼ a/tn.
7
Content available Oscillation conditions for difference equations with several variable delays
80%
El-Matary B. M. , El-Morshedy H. A. , Benekas V. , Stavroulakis I. P.
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tom Vol. 43, no. 6
789--801
EN
A technique is developed to establish a new oscillation criterion for a first-order linear difference equation with several delays and non-negative coefficients. Our result improves recent oscillation criteria and covers the cases of monotone and non-monotone delays. Moreover, the paper is concluded with an illustrative example to show the applicability and strength of our result.
8
Content available remote Improved oscillation criteria for second order nonlinear delay difference equations with non-positive neutral term
80%
Thandapani E. , Selvarangam S. , Rama R. , Madhan M.
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tom Nr 56
155--165
EN
In this paper, we present some oscillation criteria for second order nonlinear delay difference equation with non-positive neutral term of the form ∆(an (∆zn )α )+qn f(xn-σ) )=0, n>no >0, where zn - xn - pn xn-r, and α is a ratio of odd positive integers. Examples are provided to illustrate the results. The results obtained in this paper improve and complement to some of the existing results.
9
Content available remote Oscillation criteria for second order self-adjoint matrix differential equations
80%
Parhi N. , Praharaj P.
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1999
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tom 72
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nr 1
1-14
EN
Some results concerning oscillation of second order self-adjoint matrix differential equations are obtained. These may be regarded as a generalization of results for the corresponding scalar equations.
10
Content available Oscillation criteria for third order nonlinear delay differential equations with damping
80%
Grace S. R.
Opuscula Mathematica
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2015
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tom Vol. 35, no. 4
485--497
EN
This note is concerned with the oscillation of third order nonlinear delay differential equations of the form (r2(t) (r1(t)y'(t))')' +p(t)y'(t) + q(t)ƒ(y(g(t))) = 0. (*) In the papers [A.Tiryaki, M.F. Aktas, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68] and [M.F. Aktas, A. Tiryaki, A. Zafer, Oscillation criteria for third order nonlinear-functional differential equations, Applied Math. Letters 23 (2010), 756-762], the authors established some sufficient conditions which insure that any solution of equation (*) oscillates or converges to zero, provided that the second order equation (r2(t)z'(t))' + (p(t)/r1(t))z(t) =0 (**) is nonoscillatory. Here, we shall improve and unify the results given in the above mentioned papers and present some new sufficient conditions which insure that any solution of equation (*) oscillates if equation (**) is nonoscillatory. We also establish results for the oscillation of equation (*) when equation (**) is oscillatory.
11
Content available remote Oscillations of fourth order quasilinear difference equations
80%
Thandapani E. , Selvaraj B.
Fasciculi Mathematici
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2007
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tom Nr 37
109-119
EN
Consider the fourth order quasilinear difference equation of the form where {pn} is a positive sequence and {qn} is a sequence of non-negative reals, a and ,3 are ratios of odd positive integers. We obtain some new sufficient conditions for the oscillation of all solutions of equation (*). Examples are inserted to illustrate the importance of our results.
12
Content available remote Oscillation and non-oscillation of neutral difference equations of first order with positive and negative coefficients
80%
Rath R. , Padhy L. N. , Misra N.
Fasciculi Mathematici
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2007
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tom 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.
13
The use of the [alfha, beta, ghama] oscillations in the EEG signal
80%
Paszkiel S.
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|
tom z. 63
45-46
EN
This article presents the generation of the oscillation of [alfha, beta, ghama] rhythms which is directly connected with mutual correlations that occur between populations of pyramidal cells and interneurons. The significance of the oscillation of particular rhythms in the universal EEG signal is described. It is especially helpful during creating population models of this signal, which demonstrates its stochastic nature.
14
Content available remote Oscillatory behaviour of solutions of forced neutral differential equations
80%
Parhi N. , Mohanty P.
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|
nr 1
1-10
EN
Sufficient conditions are obtained for oscillation of all solutions of a class of forced nth order linear and nonlinear neutral delay differential equations. Also, asymptotic behaviour of nonoscillatory solutions of a class of forced first order neutral equations is studied.
15
Content available remote Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
80%
Li W.
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nr 3
283-302
EN
A class of neutral nonlinear differential equations is studied. Various classifications of their eventually positive solutions are given. Necessary and/or sufficient conditions are then derived for the existence of these eventually positive solutions. The derivations are based on two fixed point theorems as well as the method of successive approximations.
16
Content available Oscillatory criteria for second order differential equations with several sublinear neutral terms
80%
Baculikova B.
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|
tom Vol. 39, no. 6
753--763
EN
In this paper, sufficient conditions for oscillation of the second order differential equations with several sublinear neutral terms are established. The results obtained generalize and extend those reported in the literature. Several examples are included to illustrate the importance and novelty of the presented results.
17
Content available remote Comparison theorems for the oscillation of higher order neutral delay diference equations
80%
Zhou Y. , Zhang B. G.
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2002
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tom Vol. 35, nr 3
545-555
EN
We obtain a necessary and sufficient condition for the oscillation of the higher order neutral delay difference equation m(Xn -pnxn-r) + f(n, xg1(n),xg2(n), ...,xg1(n))=0 where m > 1 is an odd integer. As some application of this result, we estabilish three comparison theorems for the oscillation of the above equation.
18
Content available remote Analitychne vyznachennja osciljacijjnykh parametriv zamknytikh trasnportnikh modyliv
80%
Horolskij I. M. , Szandriwskij A. G.
|
|
tom nr 4 spec.
9-11
EN
The analytical method of determination of the first and second frequences of own oscillations of the closeo transport modules is circumscribed which is founded on compilling of an aproximate equation of frequencies, determination from it of the first frequency of own oscillations with consequent refinement it form a condition of rquality of own andconditions oscillations at a resonance. Proceeding from from a multiplicity of the first frequency of regular systems, at a great many of weights and minor deviation between their sizes, the second frequency of own oscillations of the closed transport modules is determined.
19
Content available General solutions of second-order linear difference equations of Euler type
80%
Hongyo A. , Yamaoka N.
Opuscula Mathematica
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2017
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tom Vol. 37, no. 3
389--402
EN
The purpose of this paper is to give general solutions of linear difference equations which are related to the Euler-Cauchy differential equation [formula] or more general linear differential equations. We also show that the asymptotic behavior of solutions of the linear difference equations are similar to solutions of the linear differential equations.
20
Content available Oscillation of third-order delay difference equations with negative damping term
80%
Bohner M. , Geetha S. , Selvarangam S. , Thandapani E.
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2018
|
tom 72
|
nr 1
EN
The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from its relation to certain associated first-order delay difference equations or inequalities. Examples are given to illustrate the main results.
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