Hyers-Ulam stability of first order linear partial differential equations with constant coefficients

2007 ◽  
pp. 261-266 ◽  
Author(s):  
Soon-Mo Jung ◽  
Ki-Suk Lee
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Ulam Stability ◽  
Partial Differential ◽  
Order Linear ◽  
First Order ◽  
Linear Partial Differential Equations ◽  
Constant Coefficients

scholarly journals First-order linear partial differential equations in the class of separately differentiable functions

2013 ◽  
Vol 5 (1) ◽  
pp. 89-93
Author(s):  
V.I. Myronyk ◽  
V.V. Mykhaylyuk
Keyword(s):  
Partial Differential Equations ◽  
General Solution ◽  
Differential Equations ◽  
Partial Differential ◽  
Order Linear ◽  
First Order ◽  
Linear Partial Differential Equations ◽  
Differentiable Functions

It is obtained a general solution of first-order linear partial differential equations in the class of separately differentiable functions.

First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

2014 ◽  
Vol 13 (1) ◽  
pp. 109-132
Author(s):  
Heinz Toparkus
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Alternative View ◽  
Partial Differential ◽  
Transform Methods ◽  
Canonical Systems ◽  
First Order ◽  
Linear Partial Differential Equations ◽  
Elementary Methods ◽  
Constant Coefficients

Abstract In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate initial value problems in appropriate basic areas, and you can try to achieve a solution of these problems by means of transform methods.

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