Unbounded Positive Solutions and Mann Iterative Schemes of a Second-Order Nonlinear Neutral Delay Difference Equation
نویسندگان
چکیده
and Applied Analysis 3 Then (a) for any L ∈ (N,M), there exist θ ∈ (0, 1) and T ≥ n 0 + τ + β such that for each x 0 = {x 0n } n∈N β ∈ A(N,M), the Mann iterative sequence with errors {x m } m∈N 0 = {x mn } (m,n)∈N 0 ×N β generated by the scheme
منابع مشابه
Uncountably 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 کاملNonlinear oscillation of certain third-order neutral differential equation with distributed delay
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...
متن کاملGlobal Solvability and Mann Iteration Method with Error for a Third Order Nonlinear Neutral Delay Differential Equation (communicated by Agacik Zafer)
This paper intends to investigate the existence of uncountably many bounded positive solutions of a third order nonlinear neutral delay differential equation d dt { r1(t) d dt [ r2(t) d dt ( x(t)− f(t, x(t− σ)) )]} + d dt [ r1(t) d dt g(t, x(p(t))) ] + d dt h(t, x(q(t))) = l(t, x(η(t))), t ≥ t0 in the following bounded closed and convex set Ω(a, b) = { x(t) ∈ C([t0,+∞),R) : a(t) ≤ x(t) ≤ b(t), ...
متن کاملOn Approximate Stationary Radial Solutions for a Class of Boundary Value Problems Arising in Epitaxial Growth Theory
In this paper, we consider a non-self-adjoint, singular, nonlinear fourth order boundary value problem which arises in the theory of epitaxial growth. It is possible to reduce the fourth order equation to a singular boundary value problem of second order given by w''-1/r w'=w^2/(2r^2 )+1/2 λ r^2. The problem depends on the parameter λ and admits multiple solutions. Therefore, it is difficult to...
متن کاملOn the Dynamic of a Nonautonomous
Nonlinear difference equations of higher order are important in applications; such equations appear naturally as discrete analogues of differential and delay differential equations which model various diverse phenomena in biology, ecology, economics, physics and engineering. The study of dynamical properties of such equations is of great importance in many areas. The autonomous difference equat...
متن کامل