Temat: neutral difference equation

Skocz do pozycji: 1.

Tytuł:: Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
Autorzy:: Migda, M.
Tematy:: neutral difference equation
asymptotic behavior
nonoscillatory solution; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255688.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Oscillation criteria for even order neutral difference equations
Autorzy:: Selvarangam, S.
Rupadevi, S. A.
Thandapani, E.
Pinelas, S.
Tematy:: even order
neutral difference equation oscillation
asymptotic behavior
mixed type; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255009.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Existence criteria for positive solutions of a nonlinear difference inequality
Autorzy:: Cheng, Sui
Zhang, Guang
Tematy:: Sturm type comparison theorem
limit comparison theorem
nth order linear difference equation
eventually positive solution
eventually positive nonincreasing solution
neutral difference equation
nonlinear delay difference inequality; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1208008.pdf Link otwiera się w nowym oknie
Opis:: This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Oscillatory properties of solutions of the fourth order difference equations with quasidifferences
Autorzy:: Jankowski, R.
Schmeidel, E.
Zonenberg, J.
Tematy:: fourth-order difference equation
neutral type
quickly oscillatory solutions
almost oscillatory; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255677.pdf Link otwiera się w nowym oknie
Opis:: A class of fourth-order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four-dimensional difference system. The sufficient conditions under which the considered equation has no quickly oscillatory solutions are given. Finally, the sufficient conditions under which the equation is almost oscillatory are presented.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Critical cases in neutral functional differential equations, arising from hydraulic engineering
Autorzy:: Răsvan, Vladimir
Tematy:: 1D hyperbolic partial differential equations
neutral functional differential equation
difference operator
critical case
differential equations; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/2216162.pdf Link otwiera się w nowym oknie
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.
Dostawca treści:: Biblioteka Nauki

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