PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 16

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  oscillatory solution
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Oscillations of equations caused by several deviating arguments
Chatzarakis George E
Opuscula Mathematica
|
2019
|
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.
2
Content available Improved iterative oscillation tests for first-order deviating differential equations
Chatzarakis G. E, Jadlovska I.
Opuscula Mathematica
|
2018
|
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.
3
Content available Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation
Graef J. R., Tunc E., Grace S. R.
Opuscula Mathematica
|
2017
|
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.
4
Content available remote On asymptotic property of solutions of higher order functional differential equations
Padhi S., Qian C.
Fasciculi Mathematici
|
2011
|
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
5
Content available remote Oscillation criteria for higher order neutral difference equations with oscillating coefficient
Migda M.
Fasciculi Mathematici
|
2010
|
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.
6
Content available remote On connections between oscillatory solutions of functional, difference and differential equations
Nowakowska W., Werbowski J.
Fasciculi Mathematici
|
2010
|
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.
7
Content available remote Oscillation and non-oscillation criteria for a neutral delay difference equation of first order
Rath R., Rath S. K.
Fasciculi Mathematici
|
2009
|
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]
8
Content available remote Oscillation and asymptotic behaviour of solutions of second order neutral differential equations with positive and negative coefficients
Padhi S.
Fasciculi Mathematici
|
2007
|
Nr 38
105-114
EN
Sufficient conditions in terms of the coefficient functions for the oscillation and asymptotic behavior of nonoscillatory solutions of a class of second order nonlinear neutral differential equations have been obtained. The results improve some earlier results.
9
Content available remote Asymptotic behaviour of oscillatory solutions of n-th order differnetial equations
Padhi S.
Fasciculi Mathematici
|
2007
|
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.
10
Content available Oscillatory properties of fourth order nonlinear difference equations with quasidifferences
Schmeidel E., Migda M., Musielak A.
Opuscula Mathematica
|
2006
|
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.
11
Content available Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences
Schmeidel E.
Opuscula Mathematica
|
2006
|
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.
12
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)
Mikołajski J., Schmeidel E.
Opuscula Mathematica
|
2006
|
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.
13
Content available remote Oscillatory properties of solutions of neutral differential systems
Spanikova E.
Fasciculi Mathematici
|
2001
|
Nr 31
91-103
EN
The purpose of this paper is to obtain oscillation criterions for the neutral differential systems (S).
14
Content available remote Oscillatory and asymptotic behavior of fourth order nonlinear delay difference equations
Graef J. R., Thandapani E.
Fasciculi Mathematici
|
2001
|
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.
15
Content available remote Comparison theorems for n-th order nonlinear differential inequalities with deviating argument
Seman J.
Fasciculi Mathematici
|
1999
|
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]
16
Content available remote Comparison theorems for differential equations of neutral type
Ruzickova M., Spanikova E.
Fasciculi Mathematici
|
1998
|
Nr 28
141-148
EN
We are interested in comparing the oscillatory and asymptotic properties of equations [...] with those of the equations [...]
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.