generalized differentiation
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scholarly journals ON LOCAL TWO-POINT PROBLEM FOR THE EQUATION WITH THE OPERATOR OF GENERALIZED DIFFERENTIATION

2021 ◽  
pp. 38-43
Author(s):  
M. P. Negrych ◽  
M. M. Symotyuk
Keyword(s):  
Lebesgue Measure ◽  
Generalized Differentiation ◽  
Point Problem ◽  
Complex Argument ◽  
Almost All

A local two-point problem with the oprator of Gelfond-Leontiev generalized differentiation with a complex argument is investigated. The conditions of unity and existence of the solution of the problem are obtained. It is proved that such conditions are satisfied for almost all (relative to Lebesgue measure) node of interpolation.

On Gelfond–Leontiev Operators of Generalized Differentiation

2021 ◽  
Vol 252 (3) ◽  
pp. 319-344
Author(s):  
A. V. Bratishchev
Keyword(s):  
Generalized Differentiation

scholarly journals Generalized Derivative and Generalized Continuity

2019 ◽  
Vol 74 (1) ◽  
pp. 77-84
Author(s):  
Ivan Kupka
Keyword(s):  
Generalized Differentiation ◽  
Generalized Derivative ◽  
Generalized Continuity ◽  
Continuity Properties ◽  
Wide Range

Abstract The main objective of this article is to show that generalized differentiation can be understood as a process of comparing functions and their generalized continuity properties. We show it by working with generalized notions of derivative and continuity. The article covers wide range of types of generalized continuity.

Generalized Differentiation of Probability Functions Acting on an Infinite System of Constraints

2019 ◽  
Vol 29 (3) ◽  
pp. 2179-2210 ◽  
Author(s):  
Wim van Ackooij ◽  
Pedro Pérez-Aros
Keyword(s):  
Infinite System ◽  
Generalized Differentiation ◽  
Probability Functions

scholarly journals Critical multipliers in variational systems via second-order generalized differentiation

2017 ◽  
Vol 169 (2) ◽  
pp. 605-648 ◽  
Author(s):  
Boris S. Mordukhovich ◽  
M. Ebrahim Sarabi
Keyword(s):  
Second Order ◽  
Generalized Differentiation ◽  
Variational Systems

Directionally generalized differentiation for multifunctions and applications to set-valued programming problems

2017 ◽  
Vol 269 (1-2) ◽  
pp. 727-751 ◽  
Author(s):  
Vo Duc Thinh ◽  
Thai Doan Chuong
Keyword(s):  
Generalized Differentiation

scholarly journals Generalized differentiation of piecewise linear functions in second-order variational analysis

2016 ◽  
Vol 132 ◽  
pp. 240-273 ◽  
Author(s):  
Boris S. Mordukhovich ◽  
M. Ebrahim Sarabi
Keyword(s):  
Variational Analysis ◽  
Piecewise Linear ◽  
Second Order ◽  
Generalized Differentiation ◽  
Linear Functions ◽  
Piecewise Linear Functions

scholarly journals Generalized Differentiation and Characterizations for Differentiability of Infimal Convolutions

2014 ◽  
Vol 23 (2) ◽  
pp. 333-353 ◽  
Author(s):  
Nguyen Mau Nam ◽  
Dang Van Cuong
Keyword(s):  
Generalized Differentiation
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