Wyniki wyszukiwania - Biblioteka Nauki

Ten serwis zostanie wyłączony 2025-02-11.

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: eventually positive solution

Sortuj według:

Ogranicz wyniki do:

Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation

100%

Zhang G. , Cheng S. S.

nr 4

393-399

A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.

Classifications and existence of positive solutions of a higher order nonlinear difference equation

88%

Li W.-T. , Cheng S. S.

nr 1

137-153

A classification scheme for the eventually positive solutions of a class of higher order nonlinear difference equations is given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of such solutions are provided.

Oscillation criteria for a class of third-order nonlinear neutral differential equations

75%

Zhong J. , Ouyang Z. , Zou S.

tom Vol. 17, nr 2

155-163

A class of third-order nonlinear neutral differential equation (r(t)(y"(t)) α)' + q(t) f(x(σ (t))) = 0 is investigated in this paper, where y(t) = x(t) + p(t)x(?(t)), and ? > 0 is any quotient of odd integers. Using a new method, we obtain some sufficient conditions for the oscillation of the above equation, and some known oscillation criteria be extended. An example is inserted to illustrate the result.

Existence criteria for positive solutions of a nonlinear difference inequality

75%

Cheng S. S. , Zhang G.

2000

tom 73

nr 3

197-220

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.