Periodic solutions of periodically forced weakly coupled non-degenerate systems^∗

^∗This work was sponsored in part by the National science Fooundation under grant INT-8602537 and by the University Research Center of Boise State University under Accounts 681-A015 and 681-A036 for the first author and by CONICYT and D.I.Bof the Universidad de chile for the second author.

Abstract

Sufficient conditions are given for the existence of T-periodic solutions of weakly coupled systems of the form x_i = f_i(x_i) + ∊_iF_i(t,x,∊), i = 1,…,k where x_i ∊ R², ∊ = col(∊_i) ∊ (R²)^k, • = col(∊_i) • R^k, and Fi is T-periodic in its first variable. An illustrative example is provided.

AMS(MOS)::

• 34C25

^∗This work was sponsored in part by the National science Fooundation under grant INT-8602537 and by the University Research Center of Boise State University under Accounts 681-A015 and 681-A036 for the first author and by CONICYT and D.I.Bof the Universidad de chile for the second author.

^∗This work was sponsored in part by the National science Fooundation under grant INT-8602537 and by the University Research Center of Boise State University under Accounts 681-A015 and 681-A036 for the first author and by CONICYT and D.I.Bof the Universidad de chile for the second author.

^∗This work was sponsored in part by the National science Fooundation under grant INT-8602537 and by the University Research Center of Boise State University under Accounts 681-A015 and 681-A036 for the first author and by CONICYT and D.I.Bof the Universidad de chile for the second author.

^∗This work was sponsored in part by the National science Fooundation under grant INT-8602537 and by the University Research Center of Boise State University under Accounts 681-A015 and 681-A036 for the first author and by CONICYT and D.I.Bof the Universidad de chile for the second author.

Notes

^∗This work was sponsored in part by the National science Fooundation under grant INT-8602537 and by the University Research Center of Boise State University under Accounts 681-A015 and 681-A036 for the first author and by CONICYT and D.I.Bof the Universidad de chile for the second author.

^∗This work was sponsored in part by the National science Fooundation under grant INT-8602537 and by the University Research Center of Boise State University under Accounts 681-A015 and 681-A036 for the first author and by CONICYT and D.I.Bof the Universidad de chile for the second author.