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Derivative of the norm of a linear mapping and its application to differential equations. (English) Zbl 0767.34045
The derivative of the norm of a linear mapping is studied and then, using this notion, linear differential equations in a Banach space are investigated.
MSC:
34G10 Linear differential equations in abstract spaces
34A30 Linear ordinary differential equations and systems
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References:
[1] A. N. Kolmogorov S. V. Fomin: Foundations of the theory of functions and functional analysis. (Russian). Czech translation, Praha, 1975.
[2] J. Dieudonné: Foundations of modern analysis. Academic Press, New York-London, 1960; Russian translation, Mir, Moscow. · Zbl 0100.04201
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