## Rocky Mountain Journal of Mathematics

### Positive, negative and mixed-type solutions for periodic vector differential equations

#### 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.

#### Article information

Source
Rocky Mountain J. Math., Volume 44, Number 4 (2014), 1183-1201.

Dates
First available in Project Euclid: 31 October 2014

https://projecteuclid.org/euclid.rmjm/1414760949

Digital Object Identifier
doi:10.1216/RMJ-2014-44-4-1183

Mathematical Reviews number (MathSciNet)
MR3274344

Zentralblatt MATH identifier
1316.34027

Subjects
Primary: 34C25: Periodic solutions

#### Citation

Han, Xiao; Ji, Jinchao. Positive, negative and mixed-type solutions for periodic vector differential equations. Rocky Mountain J. Math. 44 (2014), no. 4, 1183--1201. doi:10.1216/RMJ-2014-44-4-1183. https://projecteuclid.org/euclid.rmjm/1414760949

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