# On some non-linear boundary value problems for ordinary differential equations

Archivum Mathematicum (1989)

- Volume: 025, Issue: 4, page 207-222
- ISSN: 0044-8753

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topŠeda, Valter. "On some non-linear boundary value problems for ordinary differential equations." Archivum Mathematicum 025.4 (1989): 207-222. <http://eudml.org/doc/18275>.

@article{Šeda1989,

author = {Šeda, Valter},

journal = {Archivum Mathematicum},

keywords = {second-order differential equation; method of upper and lower solutions},

language = {eng},

number = {4},

pages = {207-222},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On some non-linear boundary value problems for ordinary differential equations},

url = {http://eudml.org/doc/18275},

volume = {025},

year = {1989},

}

TY - JOUR

AU - Šeda, Valter

TI - On some non-linear boundary value problems for ordinary differential equations

JO - Archivum Mathematicum

PY - 1989

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 025

IS - 4

SP - 207

EP - 222

LA - eng

KW - second-order differential equation; method of upper and lower solutions

UR - http://eudml.org/doc/18275

ER -

## References

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- P. Hartman, Ordinary Differential Equations, J. Wiley, New York, 1964 (Russian translation, Izdat. Mir, Moskva, 1970). (1964) Zbl0125.32102MR0171038
- I. T. Kiguradze, A. G. Lomtatidze, On certain boundary value problems for second-order linear ordinary differential equations with singularities, J. Math. Anal. Appl. 101 (1984), 325-347. (1984) Zbl0559.34012MR0748576
- J. Mawhin, Points fixes, points critiques et problèmes aux limites, Sémin. Math. Sup. no. 92, Presses Univ. Montréal, Montréal 1985. (1985) Zbl0561.34001MR0789982
- J. Nieto, Nonlinear second-order periodic boundary value problems, J. Math. Anal. Appl. 130 (1988), 22-29. (1988) Zbl0678.34022MR0926825
- K. Schmitt, A nonlinear boundary value problem, J. Differential Equations 7 (1970), 527-537. (1970) Zbl0198.12301MR0254314
- V. Šeda, Antitone operators and ordinary differential equations, Czech. Math. J. 31 (1981), 531-553. (1981) MR0631601
- V. Šeda, A correct problem at a resonance, (preprint). MR0996746

## Citations in EuDML Documents

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- Róbert Vrábeľ, Quasilinear and quadratic singularly perturbed periodic boundary value problem
- Evgenios P. Avgerinos, Nikolaos S. Papageorgiou, Extremal solutions and relaxation for second order vector differential inclusions
- Róbert Vrábeľ, Quasilinear and quadratic singularly perturbed Neumann's problem
- Róbert Vrábeľ, Asymptotic behavior of $T$-periodic solutions of singularly perturbed second-order differential equation
- Boris Rudolf, An existence and multiplicity result for a periodic boundary value problem
- Milan Gera, Alexander Haščák, Sixty years of Professor Valter Šeda
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