Application of interval analysis techniques to linear systems. III. Initial value problems

1988 ◽  
Vol 35 (10) ◽  
pp. 1243-1256 ◽  
Author(s):  
E.P. Oppenheimer ◽  
A.N. Michel
Keyword(s):  
Linear Systems ◽  
Interval Analysis ◽  
Initial Value Problems ◽  
Initial Value ◽  
Analysis Techniques

Application of Interval Analysis Techniques to Linear Systems

1987 ◽  
Vol 20 (5) ◽  
pp. 251-256
Author(s):  
A.N. Michel ◽  
E.P. Oppenheimer
Keyword(s):  
Linear Systems ◽  
Interval Analysis ◽  
Analysis Techniques

scholarly journals Existence of solutions to quasilinear differential equations in a Banach space

1976 ◽  
Vol 15 (3) ◽  
pp. 421-430
Author(s):  
James R. Ward
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Linear Systems ◽  
Function Space ◽  
Initial Value Problems ◽  
Existence Of Solutions ◽  
Reflexive Banach Space ◽  
Initial Value ◽  
Suitable Function

Initial value problems of the form x′ + A(t, x)x = f(t, x), x(0) = a, t ≥ 0, are considered in a real, separable, reflexive Banach space. Results concerning the existence of solutions on (0, ∞) are given by considering linear systems of the form x′ + A(t, u(t))x = f(t, u(t)). Here u(t) belongs to a suitable function space.

Interval-analysis techniques in linear systems: An application in power systems

1993 ◽  
Vol 12 (1) ◽  
pp. 51-60
Author(s):  
A. N. Michel ◽  
M. A. Pai ◽  
H. F. Sun ◽  
C. Kulig
Keyword(s):  
Power Systems ◽  
Linear Systems ◽  
Interval Analysis ◽  
Analysis Techniques
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