Large Deviations Estimates in Semi‐Group Theory

2008 ◽  
Author(s):  
Rémi Léandre
Keyword(s):  
Group Theory ◽  
Large Deviations ◽  
Semi Group ◽  
Large Deviations Estimates

Semi-group Theory and Scale Spaces

2008 ◽  
pp. 185-203
Author(s):  
Otmar Scherzer ◽  
Markus Grasmair ◽  
Harald Grossauer ◽  
Markus Haltmeier ◽  
Frank Lenzen
Keyword(s):  
Group Theory ◽  
Semi Group ◽  
Scale Spaces

scholarly journals Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces

2019 ◽  
Vol 2 (2) ◽  
pp. 18 ◽  
Author(s):  
Dimplekumar Chalishajar ◽  
Chokkalingam Ravichandran ◽  
Shanmugam Dhanalakshmi ◽  
Rangasamy Murugesu
Keyword(s):  
Fixed Point ◽  
Group Theory ◽  
Differential Equations ◽  
Banach Spaces ◽  
Fractional Order ◽  
Fixed Point Theorems ◽  
Mild Solutions ◽  
Order System ◽  
Semi Group ◽  
Non Local

In this paper, we establish the existence of piece wise (PC)-mild solutions (defined in Section 2) for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained using techniques of fixed point theorems, semi-group theory and generalized Bellman inequality. In this paper, we used the distributed characteristic operators to define a mild solution of the system. We also discussed the controversy related to the solution operator for the fractional order system using weak and strong Caputo derivatives. Examples are given to illustrate the theory.

The word problem for one-relator semigroups

1986 ◽  
Vol 99 (1) ◽  
pp. 33-44 ◽  
Author(s):  
James Howie ◽  
Stephen J. Pride
Keyword(s):  
Group Theory ◽  
Word Problem ◽  
Semi Group ◽  
Full Generality ◽  
Analogous Question

Diagrams have been used in group theory by numerous authors, and have led to significant results (see [4] and the references cited there). The idea of applying diagrams to semigroups seems to be more recent [3, 7, 8]. In the present paper we discuss semi group diagrams and use them to obtain results concerning the word problem for one-relator semigroups. The word problem for one-relator groups has been solved by Magnus [6], but the analogous question for semigroups remains open. We are not able to solve the problem in full generality, but have obtained some partial results.

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