Házy, Attila (2013) Solving functional equations with computer. In: IEEE 4th International Conference on Cognitive Infocommunications, CogInfoCom 2013, December 25, 2013., 2013.12.022013.12.05., Budapest.

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Abstract
In this paper we deal with the linear two variable functional equation ℎ_0(x,y)f_0(g_0(x,y))+⋅⋅⋅+ℎ_n(x,y)f_n(g_n(x,y))=F(x,y) where n is a positive integer, g_0, g_1,..., g_n, h_0,ℎ_1,...,ℎ_n and F are given real valued analytic functions on an open set Ω ⊂ ℝ^2,furthermore f_0,f_1,...,f_n are unknown functions. Applying the results of Páles we get recursively an inhomogeneous linear differentialfunctional equation in one of unknown function for f_1,f_2,...,f_n, respectively. One of our main result states that the solutions of the differentialfunctional equation obtained are the same as that of an ordinary differential equation (under some assumptions), whose order is usually much smaller than the order of the differetialfunctional equation. Our aim is also to describe a computerprogram which solves functional equations of this type. This algorithm is implemented in Maple symbolic language.
Item Type:  Conference or Workshop Item (Paper) 

Subjects:  Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis Q Science / természettudomány > QA Mathematics / matematika > QA76 Computer software / programozás 
Depositing User:  Dr. Attila/A Házy 
Date Deposited:  03 Oct 2015 16:05 
Last Modified:  03 Oct 2015 16:05 
URI:  http://real.mtak.hu/id/eprint/29488 
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