Temat: neutral differential equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

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Skocz do pozycji: 2.

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

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Skocz do pozycji: 3.

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

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

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

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Skocz do pozycji: 6.

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

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