Abstract
This paper is devoted to the study of periodic solutions of the first-order vector differential equations $x'(t)+f(t,x(t))=0$. We first introduce the concepts of positive, negative and mixed-type solutions. Then, by using a fixed point theorem in cones, we obtain some existence and multiplicity results of such solutions. Furthermore, we also present some examples to illustrate our main results.
Citation
Xiao Han. Jinchao Ji. "Positive, negative and mixed-type solutions for periodic vector differential equations." Rocky Mountain J. Math. 44 (4) 1183 - 1201, 2014. https://doi.org/10.1216/RMJ-2014-44-4-1183
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