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Wyszukujesz frazę "neutral equation" wg kryterium: Temat

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Wyświetlanie 1-15 z 20
Tytuł:
Some notes on one oscillatory condition of neutral differential equations
Autorzy:
Mihalíková, Božena
Chomová, Eva
Powiązania:
https://bibliotekanauki.pl/articles/729600.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
neutral equation
oscillatory solution
Opis:
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.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2006, 26, 1; 103-112
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behaviour of solutions of forced neutral differential equations
Autorzy:
Parhi, N.
Mohanty, P.
Powiązania:
https://bibliotekanauki.pl/articles/1310794.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
neutral equation
oscillation
asymptotic behaviour
forced equation
Opis:
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.
Źródło:
Annales Polonici Mathematici; 1996-1997, 65, 1; 1-10
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability by Krasnoselskiis theorem in totally nonlinear neutral differential equations
Autorzy:
Derrardjia, I.
Ardjouni, A.
Djoudi, A.
Powiązania:
https://bibliotekanauki.pl/articles/1397510.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fixed point
stability
nonlinear neutral equation
Krasnoselskii-Burton theorem
Opis:
In this paper we use fixed point methods to prove asymptotic stability results of the zero solution of a class of totally nonlinear neutral differential equations with functional delay. The study concerns $x^\prime (t)= -a(t)x^3(t) + c(t)x^\prime (t-r(t)) + b(t) x^3 (t-r(t)) $. The equation has proved very challenging in the theory of Liapunov’s direct method. The stability results are obtained by means of Krasnoselskii-Burton’s theorem and they improve on the work of T.A. Burton (see Theorem 4 in [Liapunov functionals, fixed points, and stability by Krasnoselskii’s theorem, Nonlinear Studies 9 (2001), 181–190]) in which he takes c=0 in the above equation
Źródło:
Opuscula Mathematica; 2013, 33, 2; 255-272
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay
Autorzy:
Yankson, E.
Powiązania:
https://bibliotekanauki.pl/articles/254907.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fixed point
large contraction
periodic solution
totally nonlinear neutral equation
Źródło:
Opuscula Mathematica; 2012, 32, 3; 617-627
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory and nonoscillatory solutions of neutral differential equations
Autorzy:
Tanaka, Satoshi
Powiązania:
https://bibliotekanauki.pl/articles/1208025.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
nonoscillatory solution
neutral differential equation
oscillatory solution
Opis:
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.
Źródło:
Annales Polonici Mathematici; 2000, 73, 2; 169-184
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
Autorzy:
Migda, M.
Powiązania:
https://bibliotekanauki.pl/articles/255688.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
neutral difference equation
asymptotic behavior
nonoscillatory solution
Opis:
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.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 507-514
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term
Autorzy:
Graef, John R.
Grace, Said R.
Tunc, Ercan
Powiązania:
https://bibliotekanauki.pl/articles/952818.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillatory behavior
neutral differential equation even-order
Opis:
The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 39-47
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory criteria for second order differential equations with several sublinear neutral terms
Autorzy:
Baculikova, Blanka
Powiązania:
https://bibliotekanauki.pl/articles/255891.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
second order neutral differential equation
sub-linear neutral term
oscillation
Opis:
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.
Źródło:
Opuscula Mathematica; 2019, 39, 6; 753-763
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillatory behavior of second-order damped differential equations with a superlinear neutral term
Autorzy:
Tunc, Ercan
Ozdemir, Osman
Powiązania:
https://bibliotekanauki.pl/articles/255321.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
second-order
neutral differential equation
damping term
Opis:
. This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.
Źródło:
Opuscula Mathematica; 2020, 40, 5; 629-639
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed points and stability in neutral nonlinear differential equations with variable delays
Autorzy:
Ardjouni, A.
Djoudi, A.
Powiązania:
https://bibliotekanauki.pl/articles/255378.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fixed points
stability
nonlinear neutral differential equation
integral equation
variable delays
Opis:
By means of Krasnoselskii's fixed point theorem we obtain boundedness and stability results of a neutral nonlinear differential equation with variable delays. A stability theorem with a necessary and sufficient condition is given. The results obtained here extend and improve the work of C.H. Jin and J.W. Luo [Nonlinear Anal. 68 (2008), 3307-3315], and also those of T.A. Burton [Fixed Point Theory 4 (2003), 15-32; Dynam. Systems Appl. 11 (2002), 499-519] and B. Zhang [Nonlinear Anal. 63 (2005), e233-e242]. In the end we provide an example to illustrate our claim.
Źródło:
Opuscula Mathematica; 2012, 32, 1; 5-19
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic stability of a neutral integro-differential equation
Autorzy:
Wang, G.
Cheng, S. S.
Powiązania:
https://bibliotekanauki.pl/articles/255680.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
asymptotic behavior
nonlinear neutral integro-differential equation
Opis:
The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
Źródło:
Opuscula Mathematica; 2006, 26, 3; 515-527
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations
Autorzy:
Li, Wantong
Powiązania:
https://bibliotekanauki.pl/articles/1310726.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
oscillation
neutral nonlinear differential equation
asymptotic behavior
Opis:
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.
Źródło:
Annales Polonici Mathematici; 1996-1997, 65, 3; 283-302
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillation criteria for even order neutral difference equations
Autorzy:
Selvarangam, S.
Rupadevi, S. A.
Thandapani, E.
Pinelas, S.
Powiązania:
https://bibliotekanauki.pl/articles/255009.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
even order
neutral difference equation oscillation
asymptotic behavior
mixed type
Opis:
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form [formula] where m ≥ 2 is an even integer, using arithmetic-geometric mean inequality. Examples are provided to illustrate the main results.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 91-108
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lossless transmission lines terminated by crystal oscillator circuit
Autorzy:
Angelov, Vasil G.
Powiązania:
https://bibliotekanauki.pl/articles/1065397.pdf
Data publikacji:
2019
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Fixed point theorem
Kirchhoff’s law
Lossless transmission line
Mixed problem for hyperbolic system
Neutral equation
Periodic solution
Opis:
The present paper deals with ТЕМ propagation of waves along lossless transmission lines terminated by a crystal oscillator circuit. The crystal oscillator circuit generates nonlinear boundary conditions derived by the Kirchhoff’s law. Then the mixed problem for the hyperbolic transmission line system to an initial value problem for neutral system on the boundary is reduced. The main purpose of the present paper is to show an existence-uniqueness of a periodic solution of the neutral system. This is achieved by introducing a suitable operator acting on a space of periodic functions. Its fixed point is a periodic solution of the neutral system. The advantages of the presented method on numerical example are demonstrated. The solution can be obtained by successive approximations.
Źródło:
World Scientific News; 2019, 132; 65-83
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Critical cases in neutral functional differential equations, arising from hydraulic engineering
Autorzy:
Răsvan, Vladimir
Powiązania:
https://bibliotekanauki.pl/articles/2216162.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
1D hyperbolic partial differential equations
neutral functional differential equation
difference operator
critical case
differential equations
Opis:
This paper starts from several applications described by initial/boundary value problems for 1D (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same properties for certain associated neutral functional differential equations. It is a common fact that asymptotic stability for neutral functional differential equations is normally obtained under the assumption of asymptotic stability of the difference operator associated to the aforementioned neutral functional differential equations. However the physically meaningful applications presented in the paper have the associated difference operator(s) in critical cases (their stability is, generally speaking, non-asymptotic). Consequently the stability of the considered application models is either non-asymptotic or fragile (in a sense introduced in the paper). The models represent an overview gathered from various fields, processed here in order to emphasize the associated neutral functional differential equations which, consequently, are a challenge to the usual approaches. In the concluding part there are suggested possible ways to overcome these difficulties.
Źródło:
Opuscula Mathematica; 2022, 42, 4; 605-633
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 20

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