## Differential and Integral Equations

### Subharmonic and multiple subharmonic solutions for second order differential systems

#### Abstract

We show existence and multiple existence results of subharmonic solutions for the system of second order differential equation $\ddot{u}(t)+ G'(u(t))=f(t)$ for $t\in \mathbb R$, where $N \in \mathbb N$, $f \in C(\mathbb R, \mathbb R^N)$ is a $T$-periodic function, $G\in C^{2}(\mathbb R^{N},\mathbb R)$ is a nonconvex functional.

#### Article information

Source
Differential Integral Equations, Volume 16, Number 1 (2003), 95-110.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356060698

Mathematical Reviews number (MathSciNet)
MR1948874

Zentralblatt MATH identifier
1039.34036

#### Citation

Hirano, Norimichi; Shioji, Naoki. Subharmonic and multiple subharmonic solutions for second order differential systems. Differential Integral Equations 16 (2003), no. 1, 95--110. https://projecteuclid.org/euclid.die/1356060698