The generalized extremum in the class of discontinuous functions and finitely additive integration

2005 ◽  
pp. 301-308
Author(s):  
V. D. Batuhtin ◽  
A. G. Chentsov
Keyword(s):  
Discontinuous Functions

Discontinuous Functions

2018 ◽  
pp. 111-118
Author(s):  
Ravi P. Agarwal ◽  
Peter Cristina ◽  
O’Regan Donal
Keyword(s):  
Discontinuous Functions

SHARKOVSKII'S THEOREM FOR CONNECTIVITY Gδ-RELATIONS

2006 ◽  
Vol 16 (08) ◽  
pp. 2377-2393 ◽  
Author(s):  
JAN ANDRES ◽  
PAVLA ŠNYRYCHOVÁ ◽  
PIOTR SZUCA
Keyword(s):  
Differential Inclusions ◽  
Discontinuous Functions

A version of Sharkovskii's cycle coexistence theorem is formulated for a composition of connectivity Gδ-relations with closed values. Thus, a multivalued version in [Andres & Pastor, 2005] holding with at most two exceptions for M-maps, jointly with a single-valued version in [Szuca, 2003], for functions with a connectivity Gδ-graph, are generalized. In particular, our statement is applicable to differential inclusions as well as to some discontinuous functions.

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