Accession Number:

ADA089655

Title:

An Approximation Scheme for Delay Equations.

Descriptive Note:

Interim rept.,

Corporate Author:

BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

• Kappel,Franz

Report Date:

1980-06-16

Pagination or Media Count:

20.0

Abstract:

We present a general approximation scheme for autonomous FDEs with Lipschitzean right-hand side. Our approach is based on approximation results in semigroup theory. The results are applied to nonlinear autonomous FDEs in the state space IR to the nth power x L to the 2nd power and to linear autonomous FDEs of neutral type in the state spaces IR to the nth power x L to the 2nd power and W to the 2nd power. Author

Descriptors:

• *NONLINEAR DIFFERENTIAL EQUATIONS
• *DELAY
• *GROUPS(MATHEMATICS)
• MATRICES(MATHEMATICS)
• APPROXIMATION(MATHEMATICS)
• CONVERGENCE
• HILBERT SPACE
• SPLINES(GEOMETRY)
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE