An Operational Method in Partial Differential Equations

1969 ◽  
Vol 17 (2) ◽  
pp. 468-493 ◽  
Author(s):  
M. Gutterman
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Operational Method ◽  
Partial Differential

XXII.—An Operational Method for the Solution of Linear Partial Differential Equations

1932 ◽  
Vol 51 ◽  
pp. 176-189 ◽  
Author(s):  
W. O. Kermack ◽  
W. H. McCrea
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Contact Transformation ◽  
Operational Method ◽  
Partial Differential ◽  
Definite Integrals ◽  
Linear Partial Differential Equations ◽  
Image Position ◽  
General Method

1. A general method for the solution of differential equations by definite integrals has recently been given by Professor E. T. Whittaker. It is briefly that, if a contact transformation from variables (q, p) to (Q, P) be given by Q = Q(q, p), P = P(q, p), and if this transforms an expression G(Q, P) into F(q, p), then the solutions of the differential equationsare connected by a relation of the form

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