Geodesic
Bisectorial operator pencils and the problem of bounded solutions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2012), pp. 31-41

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We consider a linear differential equation unresolved with respect to the derivative. We assume that the spectrum of the corresponding pencil is contained in two sectors. We study the unique existence of a bounded solution for any bounded free term.
Keywords: bisectorial operator pencil, boundary value problem, Green function. 
@article{IVM_2012_3_a4,
     author = {A. V. Pechkurov},
     title = {Bisectorial operator pencils and the problem of bounded solutions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {31--41},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_3_a4/}
}
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A. V. Pechkurov. Bisectorial operator pencils and the problem of bounded solutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2012), pp. 31-41. http://geodesic.mathdoc.fr/item/IVM_2012_3_a4/