Solutions of the Schrödinger equation in a Hilbert space

A Boichuk, O Pokutnyi - Boundary value problems, 2014 - Springer
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[PDF][PDF] Bounded solutions of evolutionary equations

OA Boichuk, VP Zhuravl'ov… - Ukrainian Mathematical …, 2018 - researchgate.net
We study the problems of existence and representations of the solutions bounded on the
entire axis for both linear and nonlinear differential equations with unbounded operator …

Weakly nonlinear boundary-value problems for differential equations in a Banach space in the critical case

OA Boichuk, EV Panasenko - Nonlinear oscillations, 2011 - infona.pl
We obtain necessary and sufficient conditions for the existence of solutions of weakly
nonlinear boundary-value problems for differential equations in a Banach space. A …

[PDF][PDF] DS Bihun, OO Pokutnyi

IG Kliuchnyk, MI Sadovyi, OM Tryfonova - imath.kiev.ua
We obtain necessary and sufficient conditions for the existence of solutions of differential
equations bounded on the whole axis in the Fréchet and Banach spaces and a criterion for …

Weakly nonlinear boundary-value problems for Fredholm integral equations with degenerate kernel in Banach spaces

VF Zhuravlev - Нелінійні коливання, 2018 - dspace.nbuv.gov.ua
Weakly nonlinear boundary-value problems for Fredholm integral equations with
degenerate kernel in Banach spaces are considered. We obtain necessary and sufficient …

Weakly Nonlinear Boundary-Value Problems for the Fredholm Integral Equations with Degenerate Kernels in Banach Spaces.

VF Zhuravlev - Journal of Mathematical Sciences, 2019 - search.ebscohost.com
We consider weakly nonlinear boundary-value problems for the Fredholm integral equations
with degenerate kernel in Banach spaces, establish necessary and sufficient conditions for …

Обмежені розв'язки еволюційних рівнянь

ОA Boichuk, VР Zhuravlyov… - Ukrains' kyi …, 2018 - umj.imath.kiev.ua
We study the problems of existence and representations of the solutions bounded on the
entire axis for both linear and nonlinear differential equations with unbounded operator …

[PDF][PDF] Bounded Solutions of the Nonlinear Lyapunov Equation and Homoclinic Chaos

OA Boichuk, OO Pokutnyi - Ukrainian Mathematical Journal, 2019 - researchgate.net
We study bounded solutions of a nonlinear Lyapunov-type problem in Banach and Hilbert
spaces. Necessary and sufficient conditions for the existence of bounded solutions on the …

Bounded Solutions of Evolutionary Equations. I.

DS Bihun, OO Pokutnyi, IG Kliuchnyk… - Journal of …, 2022 - search.ebscohost.com
We establish necessary and sufficient conditions for the existence of solutions of differential
equations bounded on the entire axis in the Fréchet and Banach spaces and a criterion for …

Periodic solutions of Schrodinger equation in Hilbert space

AA Boichuk, AA Pokutnyi - arXiv preprint arXiv:1209.0372, 2012 - arxiv.org
arXiv:1209.0372v1 [math-ph] 3 Sep 2012 Page 1 arXiv:1209.0372v1 [math-ph] 3 Sep 2012
Periodic solutions of Schrodinger equation in Hilbert space. Boichuk AA∗, Pokutnyi AA∗ …