Multiple solutions of a third order boundary value problem

Milan Gera; Felix Zh. Sadyrbaev

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 2, page 173-180
  • ISSN: 0232-0525

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Gera, Milan, and Sadyrbaev, Felix Zh.. "Multiple solutions of a third order boundary value problem." Mathematica Slovaca 42.2 (1992): 173-180. <http://eudml.org/doc/34332>.

@article{Gera1992,
author = {Gera, Milan, Sadyrbaev, Felix Zh.},
journal = {Mathematica Slovaca},
keywords = {disconjugacy; variational equation; lower estimation for the number of solutions; two-point boundary-value problem; third order nonlinear differential equation},
language = {eng},
number = {2},
pages = {173-180},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Multiple solutions of a third order boundary value problem},
url = {http://eudml.org/doc/34332},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Gera, Milan
AU - Sadyrbaev, Felix Zh.
TI - Multiple solutions of a third order boundary value problem
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 2
SP - 173
EP - 180
LA - eng
KW - disconjugacy; variational equation; lower estimation for the number of solutions; two-point boundary-value problem; third order nonlinear differential equation
UR - http://eudml.org/doc/34332
ER -

References

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  1. SADYRBAEV F., The number of solutions of a two-points boundary value problem, (Russiаn), Lаtv. Mаt. Ezhegodnik. 32 (1988), 37-41. (1988) MR0970444
  2. GERA M., Bedingungen der Nichtoszillations fähigkeit für die lineare Differentialgleichung dritter Ordnung y''' + 1p(x)y'' + p2(x)y' + p3(x)y = 0, Actа Fаc. Rer. Nаt. Univ. Comeniаn. Mаth. XXIII (1969), 13-34. (1969) MR0291554
  3. FILIPPOV A. F., Differential Equations with Discontinuous Right-hand Side, (Russiаn), Mir, Moscow, 1985. (1985) Zbl0571.34001MR0790682
  4. GREGUŠ M., ŠVEC M., ŠEDA V., Ordinary Differential Equations, (Slovаk), Alfа, Brаtislаvа, 1985. (1985) 
  5. BESMERTNYCH G. A., LEVIN A. JU., On some estimates of differentiable functions of one variable, (Russiаn), Soviet. Mаth. Dokl. 144 (3) (1962), 471-474. (1962) MR0137796
  6. DUGUNDJI J., An extension of Tietze's theorem, Pаcific J. Mаth. 1 (1951), 353-367. (1951) Zbl0043.38105MR0044116
  7. CODDINGTON A. E., LEVINSON N., Theory of Ordinary Differential Equations, New York-Toronto-London, 1955. (1955) Zbl0064.33002
  8. JERUGIN N. P., Reading for General Course on Differential Equations, (Russiаn), Minsk, 1970. (1970) 
  9. PETERSON A., Existence-uniqueness for ordinary differential equations, J. Math. Anal. Appl. 64 (1978), 166-172. (1978) Zbl0386.34022MR0481258

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