# 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 (1990)

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

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topAndres, 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

top- Poincaré H., Les méthodes nouvelles de la mécanique céleste, Gauthirs-Villars, Paris (1892). Zbl0651.70002
- 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
- Krasnoselskii M.A., Translation operator along the trajectories of differential equations, Nauka, Moscow (1966) (in Russian). (1966) MR0203159
- Mawhin J., Topological degree methods in nonlinear boundary value problems, CBMS Reg. Conf. Math., No.40, AMS, Providence (1979). (1979) Zbl0414.34025MR0525202
- Hille E., On the Landau-Kallman-Rota inequality, J. Approx. Theory 6 (1972), 117-122. (1972) Zbl0238.47007MR0343095
- Mawhin J., Boundary value problems at resonance for vector second order nonlinear differential equations, Sém. Math. Appl. Méc., No.103, Nov., Louvain (1977). (1977)
- 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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