[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 …

On Exponential Dichotomy for Abstract Differential Equations with Delayed Argument

A Chaikovs' kyi, O Lagoda - Ukrainian Mathematical Journal, 2024 - Springer
We consider linear differential equations of the first order with delayed arguments in a
Banach space. We establish conditions for the operator coefficients necessary for the …

Про експоненціальну дихотомію для абстрактних диференціальних рівнянь із запізненням аргументу

A Chaikovs' kyi, O Lagoda - Ukrains' kyi Matematychnyi Zhurnal, 2023 - umj.imath.kiev.ua
We consider linear differential equations of the first order with delayed arguments in a
Banach space. We establish conditions for the operator coefficients necessary for the …

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 …