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Displaying 1 – 17 of 17
Denjoy integral and Henstock-Kurzweil integral in vector lattices. I
Toshiharu Kawasaki (2009)
Czechoslovak Mathematical Journal
In this paper we define the derivative and the Denjoy integral of mappings from a vector lattice to a complete vector lattice and show the fundamental theorem of calculus.
Denjoy integral and Henstock-Kurzweil integral in vector lattices. II
Toshiharu Kawasaki (2009)
Czechoslovak Mathematical Journal
In a previous paper we defined a Denjoy integral for mappings from a vector lattice to a complete vector lattice. In this paper we define a Henstock-Kurzweil integral for mappings from a vector lattice to a complete vector lattice and consider the relation between these two integrals.
Derivatives are Borel functions.
A. Járai (1985)
Aequationes mathematicae
Die Automorphismen und die Invarianzgruppe der Algebra der konvergenten Potenzreihen eines Banachraumes.
Joachim Heinze (1979)
Mathematische Annalen
Die richtigen Räume für Analysis im Unendlich-Dimensionalen.
A. Kriegl (1982)
Monatshefte für Mathematik
Different aspects of differentiability [Book]
(1995)
Differentation under the integral sign and holomorphy.
Sten Bjon (1987)
Mathematica Scandinavica
Differentiability of convex functions on a Banach space with smooth bump function.
Li, Yongxin, Shi, Shuzhong (1994)
Journal of Convex Analysis
Differentiability of Lipschitzian mappings between Banach spaces
N. Aronszajn (1976)
Studia Mathematica
Differentiability of the distance function and points of multi-valuedness of the metric projection in Banach space
Luděk Zajíček (1983)
Czechoslovak Mathematical Journal
Differentiability points of a distance function
Marrianna Csörnyei (1998)
Acta Universitatis Carolinae. Mathematica et Physica
Differentiable mappings on topological vector spaces
John Lloyd (1973)
Studia Mathematica
Differentiation in locally convex spaces
Wiktor Szczyrba (1971)
Studia Mathematica
Differenziabilità delle funzioni convesse a valori in spazi di successioni
Paolo Muratori (1972)
Rendiconti del Seminario Matematico della Università di Padova
Directional derivates and almost everywhere differentiability of biconvex and concave-convex operators.
Mohamed Jouak, Lionel Thibault (1985)
Mathematica Scandinavica
Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation
Dariusz Idczak (1998)
Czechoslovak Mathematical Journal
We give characterizations of the distributional derivatives , , of functions of two variables of locally finite variation. Then we use these results to prove the existence theorem for the hyperbolic equation with a nonhomogeneous term containing the distributional derivative determined by an additive function of an interval of finite variation. An application of the above theorem to a hyperbolic equation with an impulse effect is also given.
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