Necessary and sufficient conditions for the existence and \(\varepsilon \)-uniqueness of bounded solutions of the equation \(x^{\prime} = f(x) - h(t)\)

DOI10.1134/S0001434611070133zbMath1237.34046MaRDI QIDQ764021

V. Yu. Slyusarchuk

Publication date: 13 March 2012

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Banach spacenonlinear differential equationbounded solution\(\varepsilon \)-uniqueness

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

• Nonlinear nonautonomous differential equations with bounded solutions
• Necessary and sufficient conditions of Lipschitz reversibility of nonlinear differential operator \(d/dt-f\) in the space of bounded functions on axis
• Necessary and sufficient conditions for existence and uniqueness of bounded and almost-periodic solutions of nonlinear differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Necessary and sufficient conditions for the existence and \(\varepsilon \)-uniqueness of bounded solutions of the equation \(x^{\prime} = f(x) - h(t)\)