Sentence examples for solution with period from inspiring English sources

Recently, in [2], which was the motivation for this paper of ours, it was shown that, under some more restrictive conditions than the ones proposed here, for the case (k=2), max-type system (1) has a unique periodic solution with period ω and that every solution to the system converges to the periodic solution.

has a unique anti-periodic solution with period 2π.

Suppose for a contradiction that system (1.4) has nontrivial periodic solution with period (tau_{1}).

Táboas showed that there is an such that for, there exists a nonconstant periodic solution with period greater than.

In particular, if g ( n, ϕ ) is periodic with period ω, then system (2.1) has a unique uniformly asymptotically stable periodic solution with period ω.

Figures 6(a), 6(b) and 6(c) show that system (6) has an order-1 periodic solution with period (T=1.73) which is stable.

It follows from Theorem 3.3 that there exist random periodic solutions with period (tau=2pi) of SDE (23).

It is worth to emphasize that the authors of [5, 6] search periodic solutions with period near 2π.

Our aim is to study the existence of solutions of (1)–(2) and search periodic solutions with period 2 using Carvalho's method which is given below.

Then system (1.8) has a sequence of distinct nonconstant periodic solutions with period k j T satisfying k j ∈ N and k j → ∞ as j → ∞.

By Theorem 1.3, system (1.8) has a sequence of distinct periodic solutions with period k j T satisfying k j ∈ N and k j → ∞ as j → ∞.