Abstract. Some “sharp ” conditions are established for a kind of linear neu-tral difference equations with continuous arguments not to possess eventually positive solutions. The existence and asymptotic behavior are obtained for positive solutions of the kind of equations. The results for linear cases are further extended to nonlinear ones. A comparison principle, which is a nec-essary and sufficient condition, for linear equations not to possess eventually positive solutions is also presented. 2000 Mathematics Subject Classification: 39A10. Key words and phrases: Neutral difference equation, existence, nonexis
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A nonlinear rational difference equation was investigated with respect to the positive parameters an...
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This paper contains some sufficient conditions for the existence of positive solutions which are bou...
AbstractWe establish some sufficient and necessary conditions, as well as sufficient conditions for ...
AbstractIn the present paper we establish a quantitative comparison theorem for positive solutions o...
In this paper, we consider the following high-order neutral difference equations with continuous arg...
Abstract. A neutral difference equation with positive and negative coeffi-cients is a natural model ...
AbstractA criterion for the existence of a positive solution for the first order difference equation...
This work concerns the oscillation and asymptotic properties of solutions to the non-linear differen...
AbstractA class of neutral type nonlinear difference equations is studied. We show that eventually p...
AbstractThis paper is concerned with a class of neutral partial difference equations. The conditions...
AbstractWe obtain sufficient conditions for the oscillation of all solutions and existence of positi...
AbstractNecessary and sufficient conditions are obtained for existence of positive solutions of a no...
AbstractThe existence of a unique solution to the nonlinear mixed neutral equation is proven, as is...
In this paper, we derive sufficient conditions for the oscillation of all / bounded solutions of a c...
A nonlinear rational difference equation was investigated with respect to the positive parameters an...
AbstractSufficient conditions are established for the existence of positive solutions and oscillatio...
This paper contains some sufficient conditions for the existence of positive solutions which are bou...
AbstractWe establish some sufficient and necessary conditions, as well as sufficient conditions for ...
AbstractIn the present paper we establish a quantitative comparison theorem for positive solutions o...