LEADER 03570nam 2200589 450 001 9910788898603321 005 20180613001252.0 010 $a1-4704-0688-8 035 $a(CKB)3360000000464462 035 $a(EBL)3113720 035 $a(SSID)ssj0000889038 035 $a(PQKBManifestationID)11488377 035 $a(PQKBTitleCode)TC0000889038 035 $a(PQKBWorkID)10875981 035 $a(PQKB)10601717 035 $a(MiAaPQ)EBC3113720 035 $a(RPAM)4713663 035 $a(PPN)195411609 035 $a(EXLCZ)993360000000464462 100 $a19830225h19831983 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLimiting equations for problems involving long range memory /$fM. Marcus and Victor Mizel 210 1$aProvidence, R.I., USA :$cAmerican Mathematical Socieity,$d[1983] 210 4$d©1983 215 $a1 online resource (68 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vvolume 43, number 278 (May 1983) 300 $aDescription based upon print version of record. 311 $a0-8218-2278-0 320 $aIncludes bibliographical references. 327 $a""IV. Condition for Precompactness in H of Positive Translates of an H-operator""""V. Limiting Equations""; ""5.1 I?©-limiting set of a solution""; ""5.2a???5.3 Existence for limiting equations defined on the entire line""; ""5.4a???5.5 Limiting set and limiting equation for a family of solutions""; ""VI. Generalization to Non-BV Outputs""; ""6.1a???6.2 Weakly H-operators""; ""VII. Applications to Hammerstein Hereditary Operators I""; ""7.1a???7.4 Hammerstein hereditary operators""; ""7.5a???7.6 Proof that Hammerstein hereditary operators belong to H"" 327 $a""7.7a???7.11 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""""7.12a???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""; ""8.2a???8.3 Quasi-uniform H-operators, the class H[sub(a)]""; ""8.4a???8.7 Normalized translates, modified limiting sets of solutions""; ""8.8a???8.10 Existence of a limiting equation"" 327 $a""8.11a???8.12 A condition ensuring that limiting equations are also FDE's""""IX. Applications to Hammerstein Hereditary Operators II""; ""9.1a???9.2 Hammerstein hereditary operators with nonautonomous kernel""; ""9.3a???9.4 Proof that such operators belong to H""; ""9.5a???9.6 Conditions for regularity""; ""9.7a???9.9 Verification that 'regular' Hammerstein hereditary operators are uniform H-operators and their positive translates are precompact in H""; ""9.10 Representation theorem for limiting equations of a regular Hammerstein hereditary equation""; ""Acknowledgment""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vnumber 278. 606 $aTopological dynamics 606 $aVolterra equations 615 0$aTopological dynamics. 615 0$aVolterra equations. 676 $a510 s 676 $a514/.322 700 $aMarcus$b M$g(Moshe),$f1937-$01358648 702 $aMizel$b Victor J. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788898603321 996 $aLimiting equations for problems involving long range memory$93799776 997 $aUNINA