This paper is concerned with a class of partial difference equations with variable coefficients. Explicit growth bounds are found for their solutions. These bounds provide information on the existence of exponentially...This paper is concerned with a class of partial difference equations with variable coefficients. Explicit growth bounds are found for their solutions. These bounds provide information on the existence of exponentially bounded solutions.展开更多
Our aim in this paper is to obtain a necessary and sufficient condition characterized by coefficients and delays under which every solution of higher-order neutral equation will be oscillating, where p ≠ 0, τ > ...Our aim in this paper is to obtain a necessary and sufficient condition characterized by coefficients and delays under which every solution of higher-order neutral equation will be oscillating, where p ≠ 0, τ > 0, σ> 0 and q are all constants.展开更多
文摘This paper is concerned with a class of partial difference equations with variable coefficients. Explicit growth bounds are found for their solutions. These bounds provide information on the existence of exponentially bounded solutions.
文摘Our aim in this paper is to obtain a necessary and sufficient condition characterized by coefficients and delays under which every solution of higher-order neutral equation will be oscillating, where p ≠ 0, τ > 0, σ> 0 and q are all constants.