For each and , we obtain some existence theorems of periodic solutions to the two-point boundary value problem in with when is a Caratheodory function which grows linearly in as , and may satisfy a generalized Landesman-Lazer condition for all . Here denotes the subspace of spanned by and , , , and .
Received: 24 October 2017; Accepted: 28 January 2018; Published: 2018
First available in Project Euclid: 8 May 2018
Digital Object Identifier: 10.1155/2018/5321314
Rights: Copyright © 2018 Hindawi