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

• Autore: Marcus M (Moshe), <1937->
• Pubblicazione: Providence, R.I., USA : , : American Mathematical Socieity, , [1983]; ©1983
• Descrizione fisica: 1 online resource (68 p.)
• Disciplina: 510 s; 514/.322
• Soggetto topico: Topological dynamics; Volterra equations
• Persona (resp. second.): MizelVictor J.
• 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""; ""5.2â€?5.3 Existence for limiting equations defined on the entire line""; ""5.4â€?5.5 Limiting set and limiting equation for a family of solutions""; ""VI. Generalization to Non-BV Outputs""; ""6.1â€?6.2 Weakly H-operators""; ""VII. Applications to Hammerstein Hereditary Operators I""; ""7.1â€?7.4 Hammerstein hereditary operators""; ""7.5â€?7.6 Proof that Hammerstein hereditary operators belong to H"" ; ""7.7â€?7.11 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""""7.12â€?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""; ""8.2â€?8.3 Quasi-uniform H-operators, the class H[sub(a)]""; ""8.4â€?8.7 Normalized translates, modified limiting sets of solutions""; ""8.8â€?8.10 Existence of a limiting equation"" ; ""8.11â€?8.12 A condition ensuring that limiting equations are also FDE's""""IX. Applications to Hammerstein Hereditary Operators II""; ""9.1â€?9.2 Hammerstein hereditary operators with nonautonomous kernel""; ""9.3â€?9.4 Proof that such operators belong to H""; ""9.5â€?9.6 Conditions for regularity""; ""9.7â€?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""
• Titolo autorizzato: Limiting equations for problems involving long range memory
• ISBN: 1-4704-0688-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788898603321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; number 278.