scholarly journals Uniformly stable solution of a nonlocal problem of coupled system of differential equations

2013 ◽  
pp. 355-365
Author(s):  
A.M.A. El-Sayed ◽  
R.O. Abd-El-Rahman ◽  
M. El-Gendy
Keyword(s):  
Differential Equations ◽  
Nonlocal Problem ◽  
Stable Solution ◽  
Coupled System ◽  
System Of Differential Equations ◽  
Uniformly Stable

Modeling of Social Processes Based on T.Parsons Ideas

2000 ◽  
Vol 03 (01n04) ◽  
pp. 99-106
Author(s):  
Alexander A. Laptev
Keyword(s):  
Differential Equations ◽  
Social Process ◽  
Stable Solution ◽  
Social Processes ◽  
Mathematical Language ◽  
System Of Differential Equations ◽  
Global Evolution

The goal of our work is to attempt and describe social processes in a mathematical language and to build a system of differential equations describing global evolution of the society. We build a model of social process with a periodic (cyclic) stable solution.

Flow in Straight Ducts of Arbitrary Cross Section

1979 ◽  
Vol 46 (2) ◽  
pp. 263-268 ◽  
Author(s):  
P. W. Duck
Keyword(s):  
Fourier Series ◽  
Conformal Mapping ◽  
Differential Equations ◽  
Cross Section ◽  
Coupled System ◽  
Arbitrary Cross Section ◽  
Numerical Results ◽  
Steady Flows ◽  
System Of Differential Equations ◽  
Oscillatory Flows

A method is presented for treating flows in straight ducts. The method involves the conformal mapping of the cross section on to a semicircle, and then solving the problem using Fourier series. For oscillatory flows (to which most of the paper is devoted) the method results in an infinite, coupled system of differential equations, although reliable numerical results may be obtained by truncation. For steady flows, however, the method yields a solution involving integrals of the Jacobian of the transformation.

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