Geodesic
Derivative of the norm of a linear mapping and its application to differential equations
Applications of Mathematics, Tome 37 (1992) no. 3, pp. 193-199.

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In this paper the notion of the derivative of the norm of a linear mapping in a normed vector space is introduced. The fundamental properties of the derivative of the norm are established. Using these properties, linear differential equations in a Banach space are studied and lower and upper estimates of the norms of their solutions are derived.
DOI : 10.21136/AM.1992.104503
Classification : 34A30, 34G10, 47A30, 47N20
Keywords: derivative of the norm of a linear mapping; linear differential equations in a Banach space; normed space; solution of the differential equation 
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     title = {Derivative of the norm of a linear mapping and its application to differential equations},
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Tumajer, František. Derivative of the norm of a linear mapping and its application to differential equations. Applications of Mathematics, Tome 37 (1992) no. 3, pp. 193-199. doi : 10.21136/AM.1992.104503. http://geodesic.mathdoc.fr/articles/10.21136/AM.1992.104503/

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