Accession Number:

ADA071163

Title:

On the Nonexistence of Globally Bounded Solutions to Initial-History Value Problems for Integrodifferential Equations.

Descriptive Note:

Interim rept.,

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS COMPUTER SCIENCE AND STATISTICS

Personal Author(s):

• Bloom,Frederick

Report Date:

1979-06-18

Pagination or Media Count:

20.0

Abstract:

Conditions are given under which it is impossible that there exist a solution of the integrodifferential initial-history value problem which lies in a class of bounded perturbations. An application is given to the nonexistence of globally bounded solutions, to initial-history boundary value problems for Maxwell-Hopkinson dielectrics, which lie in classes of bounded functions.

Descriptors:

• *BOUNDARY VALUE PROBLEMS
• THEORY
• DIELECTRICS
• SOLUTIONS(GENERAL)
• PERTURBATIONS
• INTEGRAL EQUATIONS
• HILBERT SPACE

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE