Integral representations of irregular root functions of loaded second-order differential operators
- Авторлар: Lomov I.S.1
-
Мекемелер:
- Lomonosov Moscow State University
- Шығарылым: Том 52, № 12 (2016)
- Беттер: 1563-1574
- Бөлім: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154191
- DOI: https://doi.org/10.1134/S0012266116120041
- ID: 154191
Дәйексөз келтіру
Аннотация
We consider a second-order differential operator on an interval of the real line with integral boundary conditions. We show how to construct the adjoint operator. The differential operation of the adjoint operator can be loaded, and the domain of that operator can contain functions that, together with their derivatives, have jump discontinuities at countably many points. For the root functions of the adjoint operator, we obtain integral representations, in particular, a mean-value formula.
Авторлар туралы
I. Lomov
Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: lomov@cs.msu.su
Ресей, Moscow
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