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Existence of Periodic Solutions for Nonlinear Differential Equations

✍ Scribed by Ghidei Zedingle

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
248 KB
Volume
227
Category
Article
ISSN
0022-247X

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✦ Synopsis

In this paper we shall study the existence of a periodic solution to the nonlinear Ε½ . Ε½ Ε½ .. differential equation x q Ax y A*x y A*Ax q B t x q f t, x t s 0 in some

complex Hilbert space, using duality and variational methods.

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## Abstract In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of __T__ ‐periodic solutions for a class of nonlinear __n__ ‐th order differential equations with delays of the form __x__^(__n__)^(__t__) + __f__ (__x__^(__n‐__ 1)^(__t__)) + _