Spectral Properties of a Fourth Order Differential Equation

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DC Field	Value	Language
dc.contributor.author	Пивоварчик, В’ячеслав Миколайович	-
dc.contributor.author	Pyvovarchyk, Viacheslav Mykolayovуch	-
dc.date.accessioned	2019-10-10T10:37:00Z	-
dc.date.available	2019-10-10T10:37:00Z	-
dc.date.issued	2006	-
dc.identifier.citation	Pivovarchik V. Spectral Properties of a Fourth Order Differential Equation / V. Pivovarchik, M. Moller // Journal for Analysis and its Applications. – 2006. – Volume 25. – P. 341-366.	uk
dc.identifier.uri	http://dspace.pdpu.edu.ua/handle/123456789/4245	-
dc.description.abstract	The eigenvalue problem y(4)(¸; x) ¡ (gy0)0(¸; x) = ¸2y(¸; x) with boundary conditions y(¸; 0) = 0, y00(¸; 0) = 0, y(¸; a) = 0, y00(¸; a) + i®¸y0(¸; a) = 0 is considered, where g 2 C1[0; a] and ® > 0. It is shown that the eigenvalues lie in the closed upper half-plane and on the negative imaginary axis. A formula for the asymptotic distribution of the eigenvalues is given and the location of the pure imaginary spectrum is investigated.	uk
dc.language.iso	en	uk
dc.publisher	European Mathematical Society	uk
dc.subject	fourth-order differential equation	uk
dc.subject	pure imaginary eigenvalues	uk
dc.subject	eigen-value distribution	uk
dc.title	Spectral Properties of a Fourth Order Differential Equation	uk
dc.type	Article	uk
Appears in Collections:	Кафедра вищої математики і статистики

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