ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 62,   2   (1993)
pp.   229-236

ON CONTINUITY AND MONOTONICITY OF DARBOUX TRANSFORMATIONS
R. J. PAWLAK


Abstract.  In this paper we consider the problems connected with the continuity of Darboux transformations and the monotonicity of the restrictions of these transformations. We show that it becomes possible to give answers to many questions concerning these problems if our considerations are confined to the family of $c$-functions which is defined in the paper.

AMS subject classification
Keywords

Download:     Adobe PDF     Compressed Postscript      

Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic  

Telephone: + 421-2-60295111 Fax: + 421-2-65425882  
e-Mail: amuc@fmph.uniba.sk   Internet: www.iam.fmph.uniba.sk/amuc

© Copyright 2001, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE