An Elementary Treatise on the Integral Calculus
Benjamin Williamson
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Benjamin Williamson
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Bartholomew Price
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Robert Woodhouse
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Maxim Dolgopolik (2014)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper multidimensional nonsmooth, nonconvex problems of the calculus of variations with codifferentiable integrand are studied. Special classes of codifferentiable functions, that play an important role in the calculus of variations, are introduced and studied. The codifferentiability of the main functional of the calculus of variations is derived. Necessary conditions for the extremum of a codifferentiable function on a closed convex set and its applications to the nonsmooth...
Markova, Andrea, Riečan, Beloslav (1996)
Novi Sad Journal of Mathematics
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Bartholomew Price
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Ghilezan, Silvia (1999)
Novi Sad Journal of Mathematics
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Isaac Todhunter
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Smith, David A. (1998)
Documenta Mathematica
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Erdal Ünlüyol, Seren Salas, Imdat Iscan (2017)
Topological Algebra and its Applications
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Differentiation and integration are basic operations of calculus and analysis. Indeed, they are in- finitesimal versions of substraction and addition operations on numbers, respectively. From 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, converting the roles of substraction and addition into division and multiplication, respectively and thus established a new calculus, called Non-Newtonian Calculus. So in this paper, it is...
Arrigo Cellina (2017)
Annales Mathematicae Silesianae
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We present some results and open problems in the Calculus of Variations.