On the Nonexistence of Globally Bounded Solutions to Initial-History Value Problems for Integrodifferential Equations.
SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS COMPUTER SCIENCE AND STATISTICS
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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.
- Theoretical Mathematics