On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term
نویسندگان
چکیده
منابع مشابه
On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term
During the last two decades, there has been much research activity concerning the oscillation and nonoscillation of solutions of neutral type delay differential equations see 1–9 . Investigation of such equations or systems, besides of their theoretical interest, have some importance in modelling of the networks containing lossless transmission lines, in the study of vibrating masses attached t...
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The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...
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Neutral differential equations find numerous applications in natural science and technology. For instance, they are frequently used for the study of distributed networks containing lossless transmission lines; see Hale 1 . In recent years, many studies have been made on the oscillatory behavior of solutions of neutral delay differential equations, and we refer to the recent papers 2–23 and the ...
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In this paper we consider the second order nonlinear neutral delay partial difference equation $Delta_nDelta_mbig(x_{m,n}+a_{m,n}x_{m-k,n-l}big)+ fbig(m,n,x_{m-tau,n-sigma}big)=b_{m,n}, mgeq m_{0},, ngeq n_{0}.$Under suitable conditions, by making use of the Banach fixed point theorem, we show the existence of uncountably many bounded positive solutions for the above partial difference equation...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2008
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2008/150163