An existence theorem for the Urysohn integral equation in Banach spaces

Stanisław Szufla

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 1, page 19-27
  • ISSN: 0010-2628

How to cite

top

Szufla, Stanisław. "An existence theorem for the Urysohn integral equation in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 025.1 (1984): 19-27. <http://eudml.org/doc/17295>.

@article{Szufla1984,
author = {Szufla, Stanisław},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fixed point theorems; measures of non-compactness; nonlinear integral equation of Urysohn type; generalized Orlicz space; Banach-space valued functions},
language = {eng},
number = {1},
pages = {19-27},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An existence theorem for the Urysohn integral equation in Banach spaces},
url = {http://eudml.org/doc/17295},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Szufla, Stanisław
TI - An existence theorem for the Urysohn integral equation in Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 1
SP - 19
EP - 27
LA - eng
KW - fixed point theorems; measures of non-compactness; nonlinear integral equation of Urysohn type; generalized Orlicz space; Banach-space valued functions
UR - http://eudml.org/doc/17295
ER -

References

top
  1. J. DAHER, On a fixed point principle of Sadovskii, Nonlinear Analysis 2 (1978), 643-645. (1978) Zbl0377.47038MR0512160
  2. J. BANEŠ, On densifying and related mappings and their applications in nonlinear functional analysis, Theory of nonlinear operators, Akademie-Verlag, Berlin 1974, 15-56. (1974) MR0361946
  3. A. KOZEK, Orlicz spaces of functions with values in Banach spaces, Comm. Math. 19 (1977), 259-286. (1977) Zbl0352.46018MR0477762
  4. M. A. KRASNOSELSKII J. B. RUTICKII, Convex functions and Orlicz spaces, Moskva 1958. (1958) MR0106412
  5. W. ORLICZ S. SZUTLA, On some classes of nonlinear Volterre integral equations in Banach spaces, Bull. Acad. Polon. Sci. Math. 30 (1982), 239-250. (1982) MR0673260
  6. B. N. SADOVSKII, Limit-compact and condensing operatoгs, Russian Math. Surveys 27 (1972), 85-155. (1972) MR0428132

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.