On four-point boundary value problem without growth conditions

Irena Rachůnková

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 2, page 241-248
  • ISSN: 0011-4642

Abstract

top
We prove the existence of solutions of four-point boundary value problems under the assumption that f fulfils various combinations of sign conditions and no growth restrictions are imposed on f . In contrast to earlier works all our results are proved for the Carathéodory case.

How to cite

top

Rachůnková, Irena. "On four-point boundary value problem without growth conditions." Czechoslovak Mathematical Journal 49.2 (1999): 241-248. <http://eudml.org/doc/30481>.

@article{Rachůnková1999,
abstract = {We prove the existence of solutions of four-point boundary value problems under the assumption that $f$ fulfils various combinations of sign conditions and no growth restrictions are imposed on $f$. In contrast to earlier works all our results are proved for the Carathéodory case.},
author = {Rachůnková, Irena},
journal = {Czechoslovak Mathematical Journal},
keywords = {second order; multipoint boundary value problem; sign conditions},
language = {eng},
number = {2},
pages = {241-248},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On four-point boundary value problem without growth conditions},
url = {http://eudml.org/doc/30481},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Rachůnková, Irena
TI - On four-point boundary value problem without growth conditions
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 2
SP - 241
EP - 248
AB - We prove the existence of solutions of four-point boundary value problems under the assumption that $f$ fulfils various combinations of sign conditions and no growth restrictions are imposed on $f$. In contrast to earlier works all our results are proved for the Carathéodory case.
LA - eng
KW - second order; multipoint boundary value problem; sign conditions
UR - http://eudml.org/doc/30481
ER -

References

top
  1. 10.1016/0362-546X(94)90035-3, Nonlin. Anal. TMA 22 (1994), 217–224. (1994) Zbl0797.34019MR1258957DOI10.1016/0362-546X(94)90035-3
  2. A four-point problem for differential equations of the second order, Arch. Math. (Brno) 25 (1989), 175–184. (1989) MR1188062
  3. Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations, Czechoslovak Math. Journal 39 (114) (1989), 692–700. (1989) MR1018005
  4. On a certain four-point problem, Radovi Matem. 8, 1 (1992). (1992) MR1477886
  5. An existence theorem of the Leray-Schauder type for four-point boundary value problems, Acta UP Olomucensis, Fac. rer. nat. 100, Math. 30 (1991), 49–59. (1991) MR1166425
  6. 10.1016/0362-546X(95)00031-P, Nonlin. Anal. TMA 27 (1996), 153–166. (1996) DOI10.1016/0362-546X(95)00031-P
  7. 10.1016/0362-546X(95)00060-9, Nonlin. Anal. TMA 27 (1996), 271–285. (1996) DOI10.1016/0362-546X(95)00060-9

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.