The complete figure for second order multiple integral problems in the calculus of variations

1976 ◽  
Vol 14 (3) ◽  
pp. 363-386 ◽  
Author(s):  
H. S. P. Grässer
Keyword(s):  
Calculus Of Variations ◽  
Multiple Integral ◽  
Second Order ◽  
Complete Figure

XIII.—Partial Differential Equations and the Calculus of Variations

1927 ◽  
Vol 46 ◽  
pp. 126-135 ◽  
Author(s):  
E. T. Copson
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Calculus Of Variations ◽  
Order Equation ◽  
Second Order ◽  
Physical Problem ◽  
Partial Differential ◽  
Hamiltonian Principle

A partial differential equation of physics may be defined as a linear second-order equation which is derivable from a Hamiltonian Principle by means of the methods of the Calculus of Variations. This principle states that the actual course of events in a physical problem is such that it gives to a certain integral a stationary value.

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