Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

The initial value problem for a nonlinear semi-infinite string

R. W. Dickeya1

a1 University of Wisconsin, Madison, U.S.A.

Synopsis

The existence of a classical solution to the initial boundary value problem for a semi-infinite extensible string is proved. The result is obtained by using a Galerkin procedure on a semi-infinite interval.

(Received November 14 1977)

(Revised April 13 1978)

(Online publication May 01 1978)

Footnotes

† This research was supported by the National Science Foundation Grant No. MPS 75-06366.