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On spectral problem and positive solutions of a linear singular functional differential equationстатья
- Автор: Labovskiy
- Журнал: Functional Differential Equations
- Том: 20
- Номер: 3-4
- Год издания: 2013
- Первая страница: 178
- Последняя страница: 199
- Аннотация: Abstract. The singular Sturm–Liouville boundary value problem for the equation −(pu ′ ) ′ + p 1 u + ∫ l 0 u(s)d s r(x,s) = 0 under certain symmetry condition is considered. It is established completeness of sys- tem of eigenfunctions of the corresponding eigenvalue problem, equivalence of a number of statements such as positivity of Green’s function, positive definiteness of a quadratic functional, and others assertions.
- Добавил в систему: Лабовский Сергей Михайлович