On four-point regular BVPs for second-order quasi-linear ODEs

Ján Andres; Vladimír Vlček

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1992)

  • Volume: 31, Issue: 1, page 37-44
  • ISSN: 0231-9721

How to cite

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Andres, Ján, and Vlček, Vladimír. "On four-point regular BVPs for second-order quasi-linear ODEs." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 31.1 (1992): 37-44. <http://eudml.org/doc/23558>.

@article{Andres1992,
author = {Andres, Ján, Vlček, Vladimír},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {scalar four-point boundary value problem; existence; Green's functions; Schauder fixed point theorem},
language = {eng},
number = {1},
pages = {37-44},
publisher = {Palacký University Olomouc},
title = {On four-point regular BVPs for second-order quasi-linear ODEs},
url = {http://eudml.org/doc/23558},
volume = {31},
year = {1992},
}

TY - JOUR
AU - Andres, Ján
AU - Vlček, Vladimír
TI - On four-point regular BVPs for second-order quasi-linear ODEs
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1992
PB - Palacký University Olomouc
VL - 31
IS - 1
SP - 37
EP - 44
LA - eng
KW - scalar four-point boundary value problem; existence; Green's functions; Schauder fixed point theorem
UR - http://eudml.org/doc/23558
ER -

References

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  1. J. Andres, A four-point boundary value problem for the second-order ordinary differential equations, Arch. Math. (Basel) 53 (1989), 384-389. (1989) Zbl0667.34024MR1016002
  2. I. Bihari, Notes on a nonlinear integral equation, Stud. Sci. Math. Hung. 2 (1967), 1-6. (1967) Zbl0147.10302MR0211231
  3. L. Collatz, Funkcionální analýza a numerická matematika, SNTL, Praha 1970. (1970) 
  4. A. G. Lomtatidze, On a singular three-point boundary value problem, Trudy IPM Tbilisi 17 (1986), 122-134 (Russian). (1986) Zbl0632.34011MR0853277
  5. M. A. Neumark, Lineare Differentialoperatoren, VEB DVW, Berlin 1960. (1960) Zbl0092.07902MR0216049
  6. I. Rachůnková, A four-point problem for ordinary differential equations of the second order, Arch. Math. (Brno) 25, 4 (1989), 175-184. (1989) MR1188062
  7. I. Rachůnková, Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations, Czech. Math. J. 39 (1989), 692-700. (1989) MR1018005
  8. G. F. Roach, Green’s functions, Cambridge Univ. Press, Cambridge 1982. (1982) Zbl0522.65075

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