Uravneniya Laksa: Deformiruyushchie kommutiruyushchie napravleniya v prostranstve Z na Z matrits
Dannaya rabota nachinaetsya s osnovnogo mnozhestva kommutiruyushchikh napravleniy v prostranstve Z na Z matrits, kotorye yavlyayutsya generatorami gruppy kommutiruyushchikh potokov. Glavnaya chast' v etoy rabote sostoit iz deformatsiy etikh napravleniy otnositel'no parametrov etikh potokov i ikh uravneniy. Kombinatsiya evolyutsiy vozmushchennykh matrits otnositel'no vsekh napravleniy privodit k tak nazyvaemym ierarkhiyam nelineynykh differentsial'nykh i raznostnykh uravneniy. Spetsial'nye primery etikh uravneniy, poluchennykh v rabote, yavlyayutsya uravneniyami udovletvoryayushchimi beskonechnoy reshetke Tody. Zdes' issleduyutsya tri tipa deformatsiy: vo-pervykh, deformatsii osnovnykh napravleniy v nizhnetreugol'nykh matritsakh, s glavnym chlenom ravnym osnovnomu napravleniyu. Vo-vtorykh, deformatsii v verkhnetreugol'nykh matritsakh s sokhraneniem glavnogo chlena. V tret'em sluchae rassmatrivayutsya kombinatsii napravleniy pervogo i vtorogo tipa. Vo vsekh etikh trekh tipakh opisyvaetsya algebraicheskaya struktura uravneniy i pokazyvaetsya ekvivalentnost' razlichnykh form, v kotorykh oni poyavlyayutsya. Odna iz nikh, forma nulevoy krivizny, svyazannaya s beskonechnomernoy zadachey Koshi. V rabote pokazyvaem edinstvennost' resheniya etoy zadachi Koshi.
| Yazar | Andrey Opimakh |
|---|---|
| Yayın Evi | LAP LAMBERT Academic Publishing |
| Dil | Rusça |
Collectif Kolektif Türkçe Almanca Fransızca Flower Love Press İngilizce CreateSpace Independent Publishing Platform Book on Demand Ltd. LAP LAMBERT Academic Publishing Palmarium Academic Publishing İtalyanca Book on Demand Ltd. HACHETTE LIVRE-BNF BrownTrout Publisher U.S. Department of the Interior Rusça Independently published
