Periodic solutions

of damped differential systems

with repulsive singular forces

Author:
Meirong Zhang

Journal:
Proc. Amer. Math. Soc. **127** (1999), 401-407

MSC (1991):
Primary 34C15, 34C25

DOI:
https://doi.org/10.1090/S0002-9939-99-05120-5

MathSciNet review:
1637460

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Abstract | References | Similar Articles | Additional Information

Abstract: We consider the periodic boundary value problem for the singular differential system: where , , and . The singular potential is of repulsive type in the sense that as . Under Habets-Sanchez's strong force condition on at the origin, the existence results, obtained by coincidence degree in this paper, have no restriction on the damping forces . Meanwhile, some quadratic growth of the restoring potentials at infinity is allowed.

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Additional Information

**Meirong Zhang**

Affiliation:
Department of Applied Mathematics, Tsinghua University, Beijing 100084, People’s Republic of China

Email:
mzhang@math.tsinghua.edu.cn

DOI:
https://doi.org/10.1090/S0002-9939-99-05120-5

Keywords:
Singular force,
strong force condition,
damped system,
coincidence degree

Received by editor(s):
September 23, 1996

Additional Notes:
The author is supported by the National Natural Science Foundation of China and the Tsinghua University Education Foundation

Communicated by:
Hal L. Smith

Article copyright:
© Copyright 1999
American Mathematical Society