Generic bifurcations of second order ordinary differential equations on differentiable manifolds
Milan Medveď (1977)
Mathematica Slovaca
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Milan Medveď (1977)
Mathematica Slovaca
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M. Altman (1970)
Fundamenta Mathematicae
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Vlasta Peřinová (1969)
Matematický časopis
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František Tumajer (1992)
Applications of Mathematics
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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.