Positive Solutions of a Neutral Difference Equation with Positive and Negative Coefficients
نویسندگان
چکیده
منابع مشابه
Positive Solutions of Neutral Delay Difference Equation
Neutral delay difference equations with variable delays are studied in this paper. Using the method of generalized characteristic equations, we give conditions for the existence of positive solutions.
متن کاملUncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
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...
متن کاملClassifications of Solutions of Second Order Nonlinear Neutral Delay Difference Equations with Positive and Negative Coefficients
In this paper the authors classified all solutions of the following equation ∆ ( an ( ∆(xn + cnxn−k) )α) + pnf(xn−l) − qng(xn−m) = 0 into four classes and obtain conditions for the existence/nonexistence of solutions in these classes. Examples are provided to illustrate the results.
متن کاملConvergence of the Solutions for a Neutral Difference Equation with Negative Coefficients
In this paper, we investigate the asymptotic behavior of the solutions of a neutral type difference equation of the form
متن کاملuncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: gmj
سال: 2004
ISSN: 1572-9176,1072-947X
DOI: 10.1515/gmj.2004.177