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Applicable Analysis
An International Journal
Volume 13, 1982 - Issue 3
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Original Articles

The damped elastic stretched string equation generalized: existence, uniqueness, regularity and stability

Eliana Henriques De Brito
&
Jack HaleView further author information
Pages 219-233 | Received 23 Jul 1981, Published online: 02 May 2007
 
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Abstract

In this paper we prove existence for all time t≦0, uniqueness, regularity and stability of solutions of a Cauchy problem in a Hilbert space H for the equation

when δ is a positive constant sufficiently large, A an operator in H and M a given function, satisfying convenient hypothesis.

An application is given; in particular, existence for all t≦0, uniqueness and stability of classical solutions of an initial-boundary value problem for the nonlinear partial integro-differential equation

(βk positive constants) is obtained.

AMOS(MOS) No. 35L20; 35B40

This research was supported by FINEP and CEPG-UFRJ.

This research was supported by FINEP and CEPG-UFRJ.

Notes

This research was supported by FINEP and CEPG-UFRJ.

Additional information

Notes on contributors

Jack Hale

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