scholarly journals Maximal and Minimal Solutions to Language Equations

1996 ◽  
Vol 53 (3) ◽  
pp. 487-496 ◽  
Author(s):  
Lila Kari ◽  
Gabriel Thierrin
Keyword(s):  
Language Equations ◽  
Maximal And Minimal Solutions

scholarly journals Language Equations for Maximal Decompositions in Coordination Control

2017 ◽  
Vol 50 (1) ◽  
pp. 13441-13446
Author(s):  
Jan Komenda ◽  
Feng Lin ◽  
Jan H. van Schuppen
Keyword(s):  
Coordination Control ◽  
Language Equations

scholarly journals Fixed point theorems of discontinuous increasing operators and applications to nonlinear integro-differential equations

2000 ◽  
Vol 158 ◽  
pp. 73-86
Author(s):  
Jinqing Zhang
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Existence Theorems ◽  
Maximal And Minimal Solutions

AbstractIn this paper, we obtain some new existence theorems of the maximal and minimal fixed points for discontinuous increasing operators in C[I,E], where E is a Banach space. As applications, we consider the maximal and minimal solutions of nonlinear integro-differential equations with discontinuous terms in Banach spaces.

ORTHOGONAL SHUFFLE ON TRAJECTORIES

2011 ◽  
Vol 22 (01) ◽  
pp. 213-222
Author(s):  
MARK DALEY ◽  
LILA KARI ◽  
SHINNOSUKE SEKI ◽  
PETR SOSÌK
Keyword(s):  
Language Equations ◽  
Language L

A language L is called the orthogonal shuffle of the language L1 with the language L2, along the trajectory set T if every word in L is uniquely obtained as the shuffle between a word in L1, a word in L2 along a trajectory word in T. In this paper we investigate properties of the orthogonal shuffle on trajectories, as well as several types of language equations using this language operation. As a corollary, we obtain several properties of orthogonal catenation, orthogonal literal shuffle and orthogonal insertion.

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