Differential Systems: Theory

2004 ◽  
pp. 297-368
Author(s):  
Clay C. Ross
Keyword(s):  
Systems Theory ◽  
Differential Systems

scholarly journals The inverse problem in the calculus of variations: new developments

2021 ◽  
Vol 29 (1) ◽  
pp. 131-149
Author(s):  
Thoan Do ◽  
Geoff Prince
Keyword(s):  
Inverse Problem ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Systems Theory ◽  
Existence And Uniqueness ◽  
Arbitrary Dimension ◽  
Differential Systems ◽  
New Developments ◽  
Exterior Differential Systems ◽  
New Class

Abstract We deal with the problem of determining the existence and uniqueness of Lagrangians for systems of n second order ordinary differential equations. A number of recent theorems are presented, using exterior differential systems theory (EDS). In particular, we indicate how to generalise Jesse Douglas’s famous solution for n = 2. We then examine a new class of solutions in arbitrary dimension n and give some non-trivial examples in dimension 3.

Taking Family Systems Theory Beyond the Family

PsycCRITIQUES ◽  
2015 ◽  
Vol 60 (26) ◽  
Author(s):  
David S. Hargrove
Keyword(s):  
Systems Theory ◽  
Family Systems ◽  
Family Systems Theory ◽  
The Family
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