Stable perturbations of boundary problems for differential equations

2018 ◽  
Vol 92 (4) ◽  
pp. 38-43
Author(s):  
Z.Yu. Fazullin ◽  
◽  
B.E. Kanguzhin ◽  
A.A. Seitova ◽  
◽  
...  
Keyword(s):  
Differential Equations ◽  
Boundary Problems

scholarly journals On Babinet's Principle

1958 ◽  
Vol 10 ◽  
pp. 632-640 ◽  
Author(s):  
R. C. MacCamy
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Electromagnetic Theory ◽  
Partial Differential ◽  
Boundary Problems ◽  
Plane Obstacle ◽  
Equivalent Boundary

In acoustic and electromagnetic theory much use is made of what is called the Principle of Babinet (1). The principle states that the problems of diffraction by an aperture, S, in a plane screen and by a plane obstacle occupying the position S, are equivalent. It is the intent of this paper to indicate how this notion of equivalent boundary problems, for partial differential equations, can be extended to other situations.

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