Constant-sign periodic and almost periodic solutions of a system of difference equations

Authors:
R. P. Agarwal;D. O'Regan;Patricia J. Y. Wong
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 2
Cited 1

Integral Equations and Stability of Feedback Systems

Integral Equations and Stability of Feedback Systems
On constant-sign solutions of a system of discrete equations

Journal of Applied Mathematics and Computing

Positive almost periodic solutions of nonlinear discrete systems with finite delay

Computers & Mathematics with Applications

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Abstract

We consider the following system of difference equations, u"i(k)=@?l@?Ig"i(k,l)f(l,u"1(l),u"2(l),...,u"n(l)),k@?I,1@?i@?n, where I is a subset of @?. Our aim is to establish criteria such that the above system has a constantsign periodic and almost periodic solution (u"1, u"2, ..., u"n). The above problem is also extended to that on @?, u"i(k)=@?l@?@?g"i(k,l)f"i(l,u"1(l),u"2(l),...,u"n(l)),k@?@?,1@?i@?n.