A boundary value problem for abstract differential equations with an involution operator
1 Department of Computational Mathematics and Programming., Lviv Polytechnic National University, Lviv, 79013, Ukraine
2 Department of Higher Mathematics, Lviv polytechnic national university, Lviv, 79007, Ukraine
Keywords:
Boundary value problem, differential equations
Abstract
We study a nonlo cal problem for diferential-operator equations of order 2 with involution. The spectral properties of the operator of this problem are analyzed and the conditions for the existence and uniqueness of its solution are established.It is also proved that the system of root functions essentially a nonself-adjoint operator of the analyzed problem forms a Riesz basis.
Cite
- ACS Style
- Baranetskyi, Y.O.; Kaleniuk, P.I.; Kolyasa, L.І. A boundary value problem for abstract differential equations with an involution operator. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Baranetskyi YO, Kaleniuk PI, Kolyasa LІ. A boundary value problem for abstract differential equations with an involution operator. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Yaroslav Omelyanovych Baranetskyi, Petro Ivanovych Kaleniuk, Lyubov Іvanovna Kolyasa. 2017. "A boundary value problem for abstract differential equations with an involution operator". Bukovinian Mathematical Journal. 4 no. 3-4.
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