On some modification of the Levinson operator and its application to a three-point boundary value problem

Ján Andres

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1990)

  • Volume: 29, Issue: 1, page 35-43
  • ISSN: 0231-9721

How to cite

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Andres, Ján. "On some modification of the Levinson operator and its application to a three-point boundary value problem." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 29.1 (1990): 35-43. <http://eudml.org/doc/23521>.

@article{Andres1990,
author = {Andres, Ján},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {topological degree; three-point boundary value problem; existence; Borsuk antipodal theorem; modified Levinson operator},
language = {eng},
number = {1},
pages = {35-43},
publisher = {Palacký University Olomouc},
title = {On some modification of the Levinson operator and its application to a three-point boundary value problem},
url = {http://eudml.org/doc/23521},
volume = {29},
year = {1990},
}

TY - JOUR
AU - Andres, Ján
TI - On some modification of the Levinson operator and its application to a three-point boundary value problem
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1990
PB - Palacký University Olomouc
VL - 29
IS - 1
SP - 35
EP - 43
LA - eng
KW - topological degree; three-point boundary value problem; existence; Borsuk antipodal theorem; modified Levinson operator
UR - http://eudml.org/doc/23521
ER -

References

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  1. Poincaré H., Les méthodes nouvelles de la mécanique céleste, Gauthirs-Villars, Paris (1892). Zbl0651.70002
  2. Levinson N., On the existence of periodic solutions of second order differential equations with a forcing term, J. Math. Phys. 22 (1943), 41-48. (1943) MR0008866
  3. Krasnoselskii M.A., Translation operator along the trajectories of differential equations, Nauka, Moscow (1966) (in Russian). (1966) MR0203159
  4. Mawhin J., Topological degree methods in nonlinear boundary value problems, CBMS Reg. Conf. Math., No.40, AMS, Providence (1979). (1979) Zbl0414.34025MR0525202
  5. Hille E., On the Landau-Kallman-Rota inequality, J. Approx. Theory 6 (1972), 117-122. (1972) Zbl0238.47007MR0343095
  6. Mawhin J., Boundary value problems at resonance for vector second order nonlinear differential equations, Sém. Math. Appl. Méc., No.103, Nov., Louvain (1977). (1977) 
  7. Bebernes J.W., A simple alternative problem for finding periodic solutions of second order ordinary differential systems, Proceed. Amer. Math. Soc. 42, 1 (1974), 21-127. (1974) Zbl0286.34055MR0330597

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