Impulsive Boundary-Value Problem for the Lyapunov Equation with Values in Hilbert Space

被引：0

作者：

Panasenko E.V. ^{[1
]}

Pokutnyi O.O. ^{[2
]}

机构：

[1] Zaporizhzhya National University, Zhukovs’kyi Str., 66, Zaporizhzhya

[2] Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs’ka Str., 3, Kyiv

来源：

Journal of Mathematical Sciences | 2023年 / 277卷 / 2期

关键词：

D O I：

10.1007/s10958-023-06832-0

中图分类号：

学科分类号：

摘要：

We investigate boundary-value problems for the operator-differential Lyapunov equation with impulsive action at fixed times with values in the Hilbert space. The case where the corresponding generating operator may have a nonclosed set of values is analyzed. The results are illustrated by an example of the problem with diagonal operators. © 2023, Springer Nature Switzerland AG.

引用

页码：281 / 290

页数：9

共 50 条

[1] Autonomous Nonlinear Boundary-Value Problems for the Lyapunov Equation in the Hilbert Space
Bihun, D. S.
Pokutnyi, O. O.
Panasenko, E., V
UKRAINIAN MATHEMATICAL JOURNAL, 2021, 73 (07) : 1009 - 1022
[2] Autonomous Nonlinear Boundary-Value Problems for the Lyapunov Equation in the Hilbert Space
D. S. Bihun
O. O. Pokutnyi
E. V. Panasenko
Ukrainian Mathematical Journal, 2021, 73 : 1009 - 1022
[3] Nonlinear Boundary-Value Problems for the Lyapunov Equation in the Space Lp
Panasenko E.V.
Pokutnyi O.O.
Journal of Mathematical Sciences, 2020, 246 (3) : 394 - 409
[4] Boundary-Value Problem with Impulsive Action for a Parabolic Equation with Degeneration
I. D. Pukalskyi
B. O. Yashan
Ukrainian Mathematical Journal, 2019, 71 : 735 - 748
[5] Boundary-Value Problem with Impulsive Action for a Parabolic Equation with Degeneration
Pukalskyi, I. D.
Yashan, B. O.
UKRAINIAN MATHEMATICAL JOURNAL, 2019, 71 (05) : 735 - 748
[6] A BOUNDARY-VALUE PROBLEM FOR A NONLINEAR TRICOMI EQUATION IN SPACE
POPIVANOV, NI
SCHNEIDER, M
DIFFERENTIAL EQUATIONS, 1991, 27 (04) : 459 - 465
[7] IONIZATION AS A HILBERT BOUNDARY-VALUE PROBLEM
ELGIN, JN
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (01): : 147 - 157
[8] BIFURCATION OF SOLUTIONS OF AN IMPULSIVE BOUNDARY-VALUE PROBLEM
Boichuk, A. A.
Chuiko, S. M.
NONLINEAR OSCILLATIONS, 2008, 11 (01): : 18 - 28
[9] Representation of the Solutions of Boundary-value Problems for the Schrödinger Equation in a Hilbert Space
Pokutnyi A.A.
Journal of Mathematical Sciences, 2015, 205 (6) : 821 - 831
[10] BOUNDARY-VALUE PROBLEM FOR A DIFFERENCE EQUATION
MIELOSZYK, E
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1990, 40 (03) : 361 - 366

← 1 2 3 4 5 →