generalized differentiation
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Author(s):  
M. P. Negrych ◽  
M. M. Symotyuk

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.



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


2019 ◽  
Vol 74 (1) ◽  
pp. 77-84
Author(s):  
Ivan Kupka

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.





2017 ◽  
Vol 169 (2) ◽  
pp. 605-648 ◽  
Author(s):  
Boris S. Mordukhovich ◽  
M. Ebrahim Sarabi








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