scholarly journals Application of the averaging method for the solution of boundary problems for ordinary differential and integro-differential equations

1979 ◽  
pp. 16-24
Author(s):  
D. D. Bainov ◽  
S. D. Milusheva
Keyword(s):  
Differential Equations ◽  
Averaging Method ◽  
Boundary Problems

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.

scholarly journals Averaging Method for Neutral Stochastic Delay Differential Equations Driven by Fractional Brownian Motion

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Peiguang Wang ◽  
Yan Xu
Keyword(s):  
Brownian Motion ◽  
Differential Equations ◽  
Fractional Brownian Motion ◽  
Delay Differential Equations ◽  
Averaging Method ◽  
Stochastic Averaging ◽  
Stochastic Averaging Method ◽  
Stochastic Delay Differential Equations ◽  
Stochastic Delay ◽  
Delay Differential

In this paper, we investigate the stochastic averaging method for neutral stochastic delay differential equations driven by fractional Brownian motion with Hurst parameter H∈1/2,1. By using the linear operator theory and the pathwise approach, we show that the solutions of neutral stochastic delay differential equations converge to the solutions of the corresponding averaged stochastic delay differential equations. At last, an example is provided to illustrate the applications of the proposed results.

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