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

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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

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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

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  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

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