Derivative of the norm of a linear mapping and its application to differential equations
Tumajer, František
Applications of Mathematics, Tome 37 (1992), p. 193-199 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1992-01-01
Classification:  34A30,  34G10,  47A30,  47N20 
@article{104503,
     author = {Franti\v sek Tumajer},
     title = {Derivative of the norm of a linear mapping and its application to differential equations},
     journal = {Applications of Mathematics},
     volume = {37},
     year = {1992},
     pages = {193-199},
     zbl = {0767.34045},
     mrnumber = {1157455},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104503}
}

Tumajer, František. Derivative of the norm of a linear mapping and its application to differential equations. Applications of Mathematics, Tome 37 (1992) pp. 193-199. http://gdmltest.u-ga.fr/item/104503/

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