Nonlinear nonautonomous differential equations with bounded solutions

zbMath1164.34305MaRDI QIDQ1003399

V. Yu. Slyusarchuk

Publication date: 28 February 2009

Published in: Matematychni Studiï (Search for Journal in Brave)

zbMATH Keywords

bounded solutionnonautonomous differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34)

Related Items (2)

Invertibility of the nonlinear operator \((\mathcal Lx)(t)=H\left(x(t),\frac{dx(t)}{dt}\right)\) in the space of functions bounded on the axis ⋮ Necessary and sufficient conditions for the existence and \(\varepsilon \)-uniqueness of bounded solutions of the equation \(x^{\prime} = f(x) - h(t)\)

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