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Oscillation of fourth order nonlinear neutral difference equations—I

In: Mathematica Slovaca, vol. 58, no. 2
A. K. Tripathy
Detaily:
Rok, strany: 2008, 221 - 240
Kľúčové slová:
oscillation, non-oscillation, neutral difference equation, existence of positive solution, asymptotic behaviour
O článku:
Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral difference equations of the form

$$ Δ2(r(n)Δ2 (y(n)+p(n) y(n-m)))+q(n) G(y(n-k))=0 $$

and \begin{itemize} \item[(NH)] $Δ2(r(n)Δ2 (y(n)+p(n) y(n-m))) +q(n) G(y(n-k))=f(n)$ \end{itemize} are studied under the assumption $ ∑n=0 ((n) / (r(n)))=∞$, for various ranges of $p(n)$. Sufficient conditions are obtained for the existence of bounded positive solutions of (NH).
Ako citovať:
ISO 690:
Tripathy, A. 2008. Oscillation of fourth order nonlinear neutral difference equations—I. In Mathematica Slovaca, vol. 58, no.2, pp. 221-240. 0139-9918.

APA:
Tripathy, A. (2008). Oscillation of fourth order nonlinear neutral difference equations—I. Mathematica Slovaca, 58(2), 221-240. 0139-9918.