Limiting equations for problems involving long range memory
Asymptotic solution behavior and relevant limit equations are studied for a broad class of nonautonomous hereditary equations. These problems are presented on a function space consisting of locally integrable functions defined on semi-axes of the reals, and the operators occurring in the equations map this function space into the space of continuous functions--in a 'nonanticipative' manner.
Read More ↓Title Statements
- Full title :Limiting equations for problems involving long range memory / M. Marcus and Victor Mizel.
Summary
Asymptotic solution behavior and relevant limit equations are studied for a broad class of nonautonomous hereditary equations. These problems are presented on a function space consisting of locally integrable functions defined on semi-axes of the reals, and the operators occurring in the equations map this function space into the space of continuous functions--in a 'nonanticipative' manner.
Read More ↓Edition Statements
- Publication Date:©1983.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©1983.
The Physical Object
- Description:v, 60 pages ; : 26 cm.
Edition Identifiers
- ISBN:0821822780, 9780821822784
- oclc:ocm09324677
- LC Classification:QA3
- Dewey Decimal:510 s
Table of Contents
Introduction -- The class of [script]H-operators -- Existence and continuous dependence of solutions -- A condition for precompactness of [bold]tran([italic]H) -- Limiting equations -- A generalization -- An application to Hammerstein hereditary operators I -- An application to functional differential equations -- An applications to Hammerstein hereditary operators II.
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