Continuous dependence on initial conditions of solutions of differential equations in Banach spaces

DOI10.1007/BF01262181zbMath0792.34061MaRDI QIDQ1316851

A. L. Nazaryan

Publication date: 12 April 1994

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

zbMATH Keywords

uniquenessHilbert spaceinfinite-dimensional Banach spacecontinuous dependence on initial conditionslinear differential equation in a Fréchet space

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Cites Work

• Example of a first-order differential equation in Hilbert space without continuous dependence of the solution on the initial condition
• On the Basis Problem in Normed Spaces
• Unnamed Item
• Unnamed Item

This page was built for publication: Continuous dependence on initial conditions of solutions of differential equations in Banach spaces