Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations

Irena Rachůnková

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 4, page 692-700
  • ISSN: 0011-4642

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Rachůnková, Irena. "Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations." Czechoslovak Mathematical Journal 39.4 (1989): 692-700. <http://eudml.org/doc/13819>.

@article{Rachůnková1989,
author = {Rachůnková, Irena},
journal = {Czechoslovak Mathematical Journal},
keywords = {four-point boundary value problem; Green function; local Carathéodory conditions; non-resonance problems; method of a priori estimates; uniqueness},
language = {eng},
number = {4},
pages = {692-700},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations},
url = {http://eudml.org/doc/13819},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Rachůnková, Irena
TI - Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 692
EP - 700
LA - eng
KW - four-point boundary value problem; Green function; local Carathéodory conditions; non-resonance problems; method of a priori estimates; uniqueness
UR - http://eudml.org/doc/13819
ER -

References

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  2. J. Andres, On some modification of the Levinson operator and its application to a threepoint boundary value problem, Acta UPO 91, Math. 29 (1990). (1990) MR1144829
  3. P. B. Bailey L. F. Shampine P. E. Waltman, Nonlinear two-point boundary value problems, Acad. Press., New York, 1968. (1968) Zbl0169.10502MR0230967
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  6. G. H. Hardy J. E. Littlewood G. Pólya, Inequalities, (in Russian), IL Moscow, 1948. (1948) Zbl0010.10703
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  8. I. T. Kirguradze, Nekotoryje singuljarnyje krajevyje zadači dlja obyknověnnych differencialnych uravněnij, ITU, Tbilisi, 1975. (1975) 
  9. I. T. Kiguradze A. G. Lomtatidze, 10.1016/0022-247X(84)90107-0, J. Math. Anal. and Appl., 101 (1984), 325-347. (1984) Zbl0559.34012MR0748576DOI10.1016/0022-247X(84)90107-0
  10. I. T. Kiguradze, K teorii nelinějnych dvuchtočečnych krajevych zadač, Summer school on ordinary diff. eq. Difford 74, Czechoslovakia 1974. (1974) MR0364755
  11. A. G. Lomtatidze, Ob odnoj singuljarnoj trechtočečnoj krajevoj zadače, Trudy IPM, Tbilisi 17 (1986), 122-134. (1986) 
  12. I. Rachůnková, A four-point problem for differential equations of the second order, Arch. Math. Brno, Vol. 25, No 4 (1989). (1989) Zbl0715.34033MR1188062
  13. N. I. Vasiljev J. A. Klokov, Osnovy teorii krajevych zadač obyknověnnych differencialnych uravněnij, Zinatne, Riga, 1978. (1978) 

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