scholarly journals Existence Theorems for Ordinary Differential Equations.

1955 ◽  
Vol 62 (9) ◽  
pp. 668
Author(s):  
W. R. Utz ◽  
F. J. Murray ◽  
K. S. Miller
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence Theorems

Existence Theorems for Ordinary Differential Equations

1956 ◽  
Vol 40 (331) ◽  
pp. 69
Author(s):  
H. T. H. Piaggio ◽  
F. J. Murray ◽  
K. S. Miller
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence Theorems

Some Applications of a Theorem of Marcinkiewicz

1991 ◽  
Vol 34 (2) ◽  
pp. 165-174 ◽  
Author(s):  
P. S. Bullen ◽  
R. Vyborny
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Existence Theorems ◽  
Classical Theorem ◽  
Perron Integral

AbstractA classical theorem of Marcinkiewicz states that a function is Perron integrable iff it has one continuous major and one continuous minor function. Using an elaboration of this remarkable theorem three applications are made; to obtain a new proof of a recent characterization of the Perron integral, to proofs of some theorems on interchange of limits and integration and to extend classical existence theorems for ordinary differential equations.

Avoidance Control

1972 ◽  
Vol 94 (2) ◽  
pp. 152-154 ◽  
Author(s):  
R. Aggarwal ◽  
G. Leitmann
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
State Space ◽  
Admissible Control ◽  
Existence Theorems ◽  
Control Processes ◽  
Avoidance Control

An avoidance control is an admissible control which permits avoidance of a givenset of state space Rn. Existence theorems for avoidance controls are given for control processes governed by ordinary differential equations.

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