03570nam 2200589 450 991078889860332120180613001252.01-4704-0688-8(CKB)3360000000464462(EBL)3113720(SSID)ssj0000889038(PQKBManifestationID)11488377(PQKBTitleCode)TC0000889038(PQKBWorkID)10875981(PQKB)10601717(MiAaPQ)EBC3113720(RPAM)4713663(PPN)195411609(EXLCZ)99336000000046446219830225h19831983 uy| 0engur|n|---|||||txtccrLimiting equations for problems involving long range memory /M. Marcus and Victor MizelProvidence, R.I., USA :American Mathematical Socieity,[1983]©19831 online resource (68 p.)Memoirs of the American Mathematical Society,0065-9266 ;volume 43, number 278 (May 1983)Description based upon print version of record.0-8218-2278-0 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;number 278.Topological dynamicsVolterra equationsTopological dynamics.Volterra equations.510 s514/.322Marcus M(Moshe),1937-1358648Mizel Victor J.MiAaPQMiAaPQMiAaPQBOOK9910788898603321Limiting equations for problems involving long range memory3799776UNINA