Oscillatory properties of solutions of three-dimensional difference systems
نویسندگان
چکیده
منابع مشابه
PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS
There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...
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there has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. the popular poincare-bendixon theorem applies well to the former but not the latter (see [2] and [3]). we give a necessary condition for the existence of periodic solutions for the third order autonomous systems, t...
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where x(n)∈Rd, Δx(n)= x(n+1)− x(n) is the usual difference operator, ,m∈N, and for i = 1, . . . , and j = 1, . . . ,m Pi and Qj are given d× d real matrices. For a particular form of the scalar case of (1.1), the same question is studied in [1] (see also [2, Section 1.16]). The system (1.1) is introduced in [9]. In this paper the authors show that the existence of oscillatory or nonoscillatory ...
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15 صفحه اولBoundedness of Solutions of Nonlinear Three-dimensional Difference Systems with Delays
In this paper three-dimensional nonlinear difference system with delays ∆xn = anf(yn−l), ∆yn = bng(zn−m), ∆zn = δcnh(xn−k), is investigated. The classification of nonoscillatory solutions of the considered system are presented. Next, the sufficient conditions under which nonoscillatory solution of considered system is bounded or is unbounded are given.
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2005
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2004.04.010