1.

Record Nr.

UNINA9910788898603321

Autore

Marcus M (Moshe), <1937->

Titolo

Limiting equations for problems involving long range memory / / M. Marcus and Victor Mizel

Pubbl/distr/stampa

Providence, R.I., USA : , : American Mathematical Socieity, , [1983]

©1983

ISBN

1-4704-0688-8

Descrizione fisica

1 online resource (68 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; volume 43, number 278 (May 1983)

Disciplina

510 s

514/.322

Soggetti

Topological dynamics

Volterra equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""IV. Condition for Precompactness in H of Positive Translates of an H-operator""""V. Limiting Equations""; ""5.1 Ω-limiting set of a solution""; ""5.2�5.3 Existence for limiting equations defined on the entire line""; ""5.4�5.5 Limiting set and limiting equation for a family of solutions""; ""VI. Generalization to Non-BV Outputs""; ""6.1�6.2 Weakly H-operators""; ""VII. Applications to Hammerstein Hereditary Operators I""; ""7.1�7.4 Hammerstein hereditary operators""; ""7.5�7.6 Proof that Hammerstein hereditary operators belong to H""

""7.7�7.11 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""""7.12�7.14 Representation theorem for limiting equations of a regular Hammerstein hereditary equation""; ""VIII. Applications to Functional Differential Equations""; ""8.1 Associating an H-operator to an FDE""; ""8.2�8.3 Quasi-uniform H-operators, the class H[sub(a)]""; ""8.4�8.7 Normalized translates, modified limiting sets of solutions""; ""8.8�8.10 Existence of a limiting equation""

""8.11�8.12 A condition ensuring that limiting equations are also FDE's""""IX. Applications to Hammerstein Hereditary Operators II""; ""9.1�9.2 Hammerstein hereditary operators with nonautonomous kernel""; ""9.3�9.4 Proof that such operators belong to H""; ""9.5�


9.6 Conditions for regularity""; ""9.7�9.9 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""; ""9.10 Representation theorem for limiting equations of a regular Hammerstein hereditary equation""; ""Acknowledgment""; ""Bibliography""