Accession Number:

ADA125257

Title:

Large Amplitude Time Periodic Solutions of a Semilinear Wave Equation.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1982-12-01

Pagination or Media Count:

27.0

Abstract:

This paper studies the existence of periodic solutions for a family of semilinear wave equations where the restoring force is independent of time, monotone, and grows at a more rapid rate than linear near infinity. With appropriate technical assumptions it is shown that there is an unbounded sequence of such free vibrations, i.e. there are solutions of arbitrarily large amplitude. If the restoring force is independent of x, the monotonicity assumption can be omitted.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE