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Analiza. Del 5, Aproksimacija in strukturni operatorji za enačbe z infinitezimalnim generatorjem v retardiranem delu enačbeMastinšek, MiklavžObravnavana je funkcionalna diferencialna enačba oblike: ▫$\dot{x}(t)=Ax(t)+ L(x_t)$▫, kjer je ▫$A$▫ infinitezimalni generator krepko zvezne polgrupe Hilbertovega prostora, ki deluje tudi v ... retardiranem delu enačbe ▫$L(x_t)$▫. Uvedena je Yosidaova aproksimacija ▫$A_\lambda$▫ operatorja ▫$A$▫ ter definirano zaporedje solucijskih polgrup ▫$T_\lambda (t)$▫. Dokazana je konvergenca zaporedja ▫$T_\lambda (t)$▫ ter podana karakterizacija adjungirane solucijske polgrupe ▫$T^\ast (t)$▫.Type of material - research reportPublication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1990Language - slovenian, englishCOBISS.SI-ID - 2541060
Author
Mastinšek, Miklavž
Topics
matematika |
funkcionalna analiza |
teorija operatorjev |
parcialne diferencialne enačbe |
funkcionalne diferencialne enačbe |
polgrupe operatorjev |
infinitezimalni generatorji |
mathematics |
functional analysis |
operator theory |
partial differential equations |
functional differential equations |
semigroups of operators |
infinitesimal generators
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Mastinšek, Miklavž | 08173 |
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