Convergence of Eigenfunction Expansions of a Differential Operator with Integral Boundary Conditions
- Авторлар: Lomov I.1
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Мекемелер:
- Faculty of Computational Mathematics and Cybernetics
- Шығарылым: Том 98, № 1 (2018)
- Беттер: 386-390
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225541
- DOI: https://doi.org/10.1134/S1064562418050265
- ID: 225541
Дәйексөз келтіру
Аннотация
For a second-order ordinary differential operator on an interval of the real line with integral boundary conditions, conditions for the unconditional basis property and uniform convergence of the expansion of a function in terms of the eigen- and associated functions of this operator are established. The convergence and equiconvergence rates of this expansion and the equiconvergence rate of the trigonometric Fourier expansion of this function are estimated. The uniform convergence of its expansion in the adjoint system is studied.
Авторлар туралы
I. Lomov
Faculty of Computational Mathematics and Cybernetics
Хат алмасуға жауапты Автор.
Email: lomov@cs.msu.ru
Ресей, Moscow