[图书][B] Differential equations with maxima

DD Bainov, SG Hristova - 2011 - books.google.com
Differential equations with maxima-differential equations that contain the maximum of the
unknown function over a previous interval-adequately model real-world processes whose …

Solutions of a max-type system of difference equations

S Stević - Applied Mathematics and Computation, 2012 - Elsevier
We show, in an elegant way, that the general solution to the following max-type system of
difference equationsfor the case y0, x0⩾ A> 0, y0/x0⩾ max {A, 1/A}, is given by: y1= x0/y0 …

On a generalized max-type difference equation from automatic control theory

S Stević - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
This paper studies the boundedness character of positive solutions of the following
generalization of a max-type difference equation from automatic control theory (see …

On a nonlinear generalized max-type difference equation

S Stević - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
The boundedness character of positive solutions of the following max-type difference
equation where k∈ N∖{1}, the parameters A and r are positive and p is a nonnegative real …

Periodicity of a class of nonautonomous max-type difference equations

S Stević - Applied Mathematics and Computation, 2011 - Elsevier
In this note we prove several general and easily applicable results regarding the periodicity
of positive solutions of the following difference equations xn= max {f 1 (x nk 1, n),…, fm (x nk …

Boundedness character of a class of difference equations

S Stević - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
A complete picture regarding the boundedness character of positive solutions to the
following difference equation where k≥ 2 and the parameters A and p are positive real …

On some periodic systems of max-type difference equations

S Stević - Applied Mathematics and Computation, 2012 - Elsevier
We show that all positive solutions to the system of max-type difference equationsn∈ N0,
where s, l, mj, ki, t (j)∈ N, j, t∈{1,…, l}, and for a fixed j, i∈{1,…, mj}, and where the functions …

Global stability of a max-type difference equation

S Stević - Applied Mathematics and Computation, 2010 - Elsevier
We show that every positive solution to the difference equationwhere pi, i= 1,…, k are natural
numbers such that 1⩽ p1<⋯< pk, k∈ N, Ai> 0, αi∈(-1, 1), i= 1,…, k, converges to [Formula …

Global stability of a difference equation with maximum

S Stević - Applied Mathematics and Computation, 2009 - Elsevier
We prove that every positive solution to the difference equationwhere k∈ N, Ai> 0, αi∈(0, 1),
i= 1,…, k, converges to the following quantity [Formula: see text], confirming a quite recent …

[PDF][PDF] Boundedness character of a max-type system of difference equations of second order

S Stevic, M Alghamdi, A Alotaibi… - Electronic Journal of …, 2014 - real.mtak.hu
Boundedness character of a max-type system of difference equations of second order Page
1 Electronic Journal of Qualitative Theory of Differential Equations 2014, No. 45, 1–12; http://www.math.u-szeged.hu/ejqtde …