Existence theorems for nonlinear operator equation L u + N u = f and some properties of the set of its solutions

Boris Rudolf

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 1, page 55-63
  • ISSN: 0232-0525

How to cite

top

Rudolf, Boris. "Existence theorems for nonlinear operator equation $Lu+Nu=f$ and some properties of the set of its solutions." Mathematica Slovaca 42.1 (1992): 55-63. <http://eudml.org/doc/32314>.

@article{Rudolf1992,
author = {Rudolf, Boris},
journal = {Mathematica Slovaca},
keywords = {Krasnosel'skij's theorem; two point boundary value problem; operator equation; topological degree; Leray-Schauder techniques},
language = {eng},
number = {1},
pages = {55-63},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Existence theorems for nonlinear operator equation $Lu+Nu=f$ and some properties of the set of its solutions},
url = {http://eudml.org/doc/32314},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Rudolf, Boris
TI - Existence theorems for nonlinear operator equation $Lu+Nu=f$ and some properties of the set of its solutions
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 1
SP - 55
EP - 63
LA - eng
KW - Krasnosel'skij's theorem; two point boundary value problem; operator equation; topological degree; Leray-Schauder techniques
UR - http://eudml.org/doc/32314
ER -

References

top
  1. CESARI L., Functional analysis and Galerkin's method, Michigan Math. J. 11 (1964), 385-414. (1964) Zbl0192.23702MR0173839
  2. FUČÍK S., KUFNER A., Nelineární diferenciální rovnice, SNTL, Praha, 1978. (1978) Zbl0474.35001
  3. GREGUŠ M., ŠVEC M., ŠEDA V., Obyčajné diferenciálné rovnice, Alfa, Bratislava, 1985. (1985) 
  4. KODDINGTON E. A., LEVINSON N., Teorija obyknovennych differencial'nych uravnenij, Izdat. Inostr. lit., Moskva, 1958. (1958) 
  5. MAWHIN J., Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces, J .Differential Equations 12 (1972), 610-636. (1972) Zbl0244.47049MR0328703
  6. TAYLOR A. E., Úvod do funkcionální analysy, Academia, Praha, 1973. (1973) 
  7. WARD J. R., Existence theorems for nonlinear boundary value problems at resonance, J. Differential Equations 35 (1980), 232-247. (1980) Zbl0447.34015MR0561979
  8. ZEIDLER E., Vorlesungen über nichtlineare Funktionalanalysis I, Teubner Verlag, Leipzig, 1976. (1976) Zbl0326.47053MR0628004

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.