Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
DEMONSTRATE MATHEMATICAVol. XXXINo 21998Stanislaw MiduraO N S O L U T I O N S OF S O M E S Y S T E MOF F U N C T I O N A L E Q U A T I O N SLet us denote by R the set of real numbers and let Ro = R \ {0}. Inpaper [7] (p. 79), the following system of functional equations(1)F{yixuyix2+ y2x$ + 4xiF(y1,y2)g(xux2)+6xlg(y1,y2)F{x1,(2)+2x2) + 3F(Vl, y2)F (x ux2))yiF(xi,x2)+ xjF(y1,y2)g{y\X\,y\x2+ y2x\ + 4x1F{yi,y2)g{xi,x2),+2+Qxlg(y1,y2)F(x1,x2)+ 3F(y1,y2)F (x1,x2))yig(xi,x2)y2)F{x i, x 2 ) ++ 3x\F(yi,==x\g(yi,,y2)in the class of functions F : Ro x R—t-R, g : Ro x R—>R was consideredand two solutions F ( X I , X 2 ) = g(xi,x2) = 0 for any x\, x2, and F(xi,x2) =g(xi,x2) = | ( x i — x j ) , where pointed out.In the present paper we shall show that the system (1), (2) has also othersolutions in certain classes of functions.The system (1), (2) appeared when some subsemigroups of the group L\were determined. The definition of L\ one can find in [2]. In papers [1]-[16]the authors dealt with the determination of subgroups and subsemigroupsby means of functional equations.First let us
Demonstratio Mathematica – de Gruyter
Published: Apr 1, 1998
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.