Application of the special series method for representing solutions of the equation of nonstationary gas flows

2007 ◽  
Vol 5 ◽  
pp. 301-306
Author(s):  
M.Yu. Filimonov
Keyword(s):  
Partial Differential Equations ◽  
Power Series ◽  
Differential Equations ◽  
Linear Differential Equations ◽  
Gas Flows ◽  
Series Method ◽  
Linear Partial Differential Equations ◽  
Special Power ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

For the Lin-Reissner-Tsien equation describing nonstationary transonic gas flows, solutions are constructed in the form of special power series in specially chosen functions. Such a choice of functions makes it possible to find the coefficients of the series by sequential solving both ordinary linear differential equations and linear partial differential equations. The convergence of the constructed series is investigated.

scholarly journals On behavior of solutions of non-linear differential equations in Hilbert space II

1988 ◽  
Vol 11 (2) ◽  
pp. 297-313
Author(s):  
Vladimir Schuchman
Keyword(s):  
Hilbert Space ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Linear Differential Equations ◽  
Partial Differential ◽  
Linear Partial Differential Equations ◽  
Non Linear ◽  
Linear Differential

This paper deals with the behavior of solutions of non-linear ordinary differntial equations in a Hilbert space with applications to non-linear partial differential equations.

scholarly journals Limit Behavior of Solutions of Ordinary Linear Differential Equations

1994 ◽  
Vol 1 (3) ◽  
pp. 315-323
Author(s):  
František Neuman
Keyword(s):  
Differential Equations ◽  
Oscillatory Behavior ◽  
Linear Differential Equations ◽  
Limit Behavior ◽  
Limit Sets ◽  
Equivalent Linear ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

Abstract A classification of classes of equivalent linear differential equations with respect to ω-limit sets of their canonical representatives is introduced. Some consequences of this classification to the oscillatory behavior of solution spaces are presented.

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