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burada a, sərhədli xətti operator t (t) -ın x-də güclü bir davamlı yarımqrupunun sonsuz kiçik generatorudur; f: × x → x, → hər k = 1, 2, 3,. . . ,; = [] və = üçün k = 1, 2, 3,. . . , burada ixtiyari real rəqəmdir. aydındır ki, =. . . . . .; u () = () normasına uyğun yoluna görə u = | siz (lər) | hər t üçün razı
where a is the infinitesimal generator of a strongly continuous semigroup of bounded linear operator t( t ) in x; f: × x → x, → for each k=1, 2, 3, . . . , ; = [ ] and = for k = 1, 2, 3, . . . , here is arbitrary real number. obviously, = . . . . . .; u( ) = ( ) according to their path with the norm u = | u(s) | for each t satisfying
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