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1
Oscillations of neutral differential systems
100%
Mihalíková B.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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1999
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tom 19
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nr 1-2
5-15
EN
The aim of this paper is to present the sufficient conditions for oscillation of solutions of the system of differential equations of neutral type.
2
Content available Some notes on one oscillatory condition of neutral differential equations
100%
Mihalíková B. , Chomová E.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2006
|
tom 26
|
nr 1
103-112
EN
The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equations of the form (r(t)(x(t) - px(t-τ))')' - q(t)f(x(σ(t))) = 0 to be oscillatory and to compare some existing results.
3
Content available remote Oscillatory and nonoscillatory solutions of neutral differential equations
80%
Tanaka S.
Annales Polonici Mathematici
|
2000
|
tom 73
|
nr 2
169-184
EN
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.
4
Content available remote Asymptotic behaviour of oscillatory solutions of n-th order differnetial equations
80%
Padhi S.
Fasciculi Mathematici
|
2007
|
tom Nr 37
49-55
EN
In this paper, sufficient conditions have been obtained so that all oscillatory solutions of the n-th order differential equations with quasi derivatives tend to zero as t tends to infinity.
5
Global attractor for nonlinear recurrence of second order
80%
Bobrowski D.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1997
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tom 17
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nr 1-2
83-88
EN
This paper contains some sufficient condition for the point zero to be a global attractor for nonlinear recurrence of second order.
6
Content available Oscillatory properties of fourth order nonlinear difference equations with quasidifferences
80%
Schmeidel E. , Migda M. , Musielak A.
Opuscula Mathematica
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2006
|
tom Vol. 26, no. 2
371-380
EN
In this paper we present the oscillation criterion for a class of fourth order nonlinear difference equations with quasidifferences.
7
Content available Oscillations of equations caused by several deviating arguments
80%
Chatzarakis G. E.
Opuscula Mathematica
|
2019
|
tom Vol. 39, no. 3
321--353
EN
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.
8
Content available Improved iterative oscillation tests for first-order deviating differential equations
80%
Chatzarakis G. E. , Jadlovska I.
Opuscula Mathematica
|
2018
|
tom Vol. 38, no. 3
327--356
EN
In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients. They lead to a procedure that checks for oscillations by iteratively computing lim sup and lim inf on terms recursively defined on the equation's coefficients and deviating argument. This procedure significantly improves all known oscillation criteria. The results and the improvement achieved over the other known conditions are illustrated by two examples, numerically solved in MATLAB.
9
Content available remote Oscillation results for second order nonlinear differential equations
80%
Džurina J. , Lacková D.
Open Mathematics
|
2004
|
tom 2
|
nr 1
57-66
EN
In this paper, the authors present some new results for the oscillation of the second order nonlinear neutral differential equations of the form $$\left( {r\left( t \right)\psi \left( {x\left( t \right)} \right)\left[ {x\left( t \right) + p\left( t \right)x\left( {\tau \left( t \right)} \right)} \right]^\prime } \right)^\prime + q\left( t \right)f\left( {x\left[ {\sigma \left( t \right)} \right]} \right) = 0$$ . Easily verifiable criteria are obtained that are also new for differential equations without neutral term i.e. for p(t)≡0.
10
Content available remote Oscillatory properties of solutions of neutral differential systems
80%
Spanikova E.
Fasciculi Mathematici
|
2001
|
tom Nr 31
91-103
EN
The purpose of this paper is to obtain oscillation criterions for the neutral differential systems (S).
11
Content available remote On asymptotic property of solutions of higher order functional differential equations
80%
Padhi S. , Qian C.
Fasciculi Mathematici
|
2011
|
tom Nr 46
87--104
EN
We establish sucient conditions for the linear func- tional differential equation of n-th order of the forms y(n)(t) + p(t)y(g(t)) = 0 and y(n)(t) - p(t)y(g(t)) = 0 to have property A and B, where p and g ϵ C ([σ, ∞), (0, ∞)), with g ϵ R and g(t) ≥ t, and n ≥ 2 is a positive integer
12
Content available Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation
70%
Graef J. R. , Tunc E. , Grace S. R.
Opuscula Mathematica
|
2017
|
tom Vol. 37, no. 6
839--852
EN
This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are presented. The results obtained can easily be extended to more general neutral differential equations as well as to neutral dynamic equations on time scales. Two examples are provided to illustrate the results.
13
Content available remote Oscillation criteria for higher order neutral difference equations with oscillating coefficient
70%
Migda M.
Fasciculi Mathematici
|
2010
|
tom 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.
14
Content available remote Comparison theorems for differential equations of neutral type
60%
Ruzickova M. , Spanikova E.
Fasciculi Mathematici
|
1998
|
tom Nr 28
141-148
EN
We are interested in comparing the oscillatory and asymptotic properties of equations [...] with those of the equations [...]
15
Content available remote On connections between oscillatory solutions of functional, difference and differential equations
60%
Nowakowska W. , Werbowski J.
Fasciculi Mathematici
|
2010
|
tom Nr 44
95-106
EN
The paper contains connections between oscillation of solutions of iterative functional equations, difference equations and differential equations with advanced or delayed arguments. New oscillatory criteria for these equations are given.
16
Content available remote Oscillation and non-oscillation criteria for a neutral delay difference equation of first order
60%
Rath R. , Rath S. K.
Fasciculi Mathematici
|
2009
|
tom Nr 42
109-120
EN
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]
17
Content available Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients)
60%
Mikołajski J. , Schmeidel E.
Opuscula Mathematica
|
2006
|
tom Vol. 26, no. 2
343-349
EN
Third order linear homogeneous differential and recurrence equations with constant coefficients are considered. We take the both equations with the same characteristic equation. We show that these equations (differential and recurrence) can have solutions with different properties concerning oscillation and boundedness. Especially the numbers of suitable types of solutions taken out from fundamental sets are presented. We give conditions under which the asymptotic properties considered are the same for the both equations.
18
Content available Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences
60%
Schmeidel E.
Opuscula Mathematica
|
2006
|
tom Vol. 26, no. 2
361-369
EN
In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this equation to be either oscillatory or converging to zero. The result is illustrated with examples.
19
Content available remote Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations
60%
Graef J. R. , Thandapani E.
Fasciculi Mathematici
|
2001
|
tom Nr 31
23-36
EN
The authors consider the nonlinear difference equation (E) delta2 ((delta(bn delta yn))+f(n,yn-t)=0, n należy N(no)={no,no+1,...}, here {an} and {bn} are positive real sequences, I is a nonnegative integer, f: N(no) x R R is a continuous function with uf(n, u) > 0 for all u nierówne 0. They obtain necessary and sufficient conditions for the existence of nonoscillatory solutions with a specified asymptotic behavior. They also obtain sufficient conditions for all solutions to be oscillatory if/ is either strongly sublinear or strongly superlinear. Examples of their results are also included.
20
Content available remote Comparison theorems for n-th order nonlinear differential inequalities with deviating argument
51%
Seman J.
Fasciculi Mathematici
|
1999
|
tom Nr 29
113-124
EN
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]
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