D.s. Shpak

Impul'snye Kharakteristiki Nelineynykh Differentsial'nykh Operatorov: Monografiya D.s. Shpak Russian edition

V monografii rassmatrivayutsya impul'snye kharakteristiki polinomial'nykh evolyutsionnykh operatorov, opredelyaemykh nelineynymi differentsial'nymi uravneniyami, opisyvayutsya metody postroeniya impul'snykh i spektral'nykh kharakteristik kompozitsii polinomial'nykh evolyutsionnykh operatorov, a takzhe metody kvaziobrashcheniya rassmatrivaemogo klassa nelineynykh evolyutsionnykh differentsial'nykh operatorov. V kachestve primerov dlya postroeniya impul'snykh kharakteristik i kvaziobratnykh evolyutsionnykh operatorov vybrany nelineynoe differentsial'noe uravnenie s nelineynoy vosstanavlivayushchey siloy i zatukhaniem, sovershayushchey vynuzhdennye kolebaniya pri garmonicheskom vneshnem vozdeystvii, uravnenie Emdena ? Faulera, primenyaemoe v astrofizicheskikh issledovaniyakh, i drugie nelineynye differentsial'nye uravneniya, predstavlyayushchie soboy chastnye sluchai uravneniya obshchego vida L(D)x+F(x)= f(t) , dlya kotorykh takzhe naydeny formuly dlya komponent kvaziobratnykh evolyutsionnykh operatorov.