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

Valter Šeda

Archivum Mathematicum (1989)

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

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Šeda, 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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  1. H. Amann, Super solutions, monotone iterations, and stability, J. Differential Equations 21 (1976), 363-377. (1976) Zbl0319.35039MR0407451
  2. C. Fabry J. Mawhin, M. N. Nkashama, A multiplicity result for periodic solutions of forced nonlinear second order ordinary differential equations, Bull. London Math. Soc. 18 (1986), 173-180. (1986) Zbl0586.34038MR0818822
  3. P. Hartman, Ordinary Differential Equations, J. Wiley, New York, 1964 (Russian translation, Izdat. Mir, Moskva, 1970). (1964) Zbl0125.32102MR0171038
  4. 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
  5. J. Mawhin, Points fixes, points critiques et problèmes aux limites, Sémin. Math. Sup. no. 92, Presses Univ. Montréal, Montréal 1985. (1985) Zbl0561.34001MR0789982
  6. J. Nieto, Nonlinear second-order periodic boundary value problems, J. Math. Anal. Appl. 130 (1988), 22-29. (1988) Zbl0678.34022MR0926825
  7. K. Schmitt, A nonlinear boundary value problem, J. Differential Equations 7 (1970), 527-537. (1970) Zbl0198.12301MR0254314
  8. V. Šeda, Antitone operators and ordinary differential equations, Czech. Math. J. 31 (1981), 531-553. (1981) Zbl0491.34022MR0631601
  9. V. Šeda, A correct problem at a resonance, (preprint). Zbl0723.34020MR0996746

Citations in EuDML Documents

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  1. Boris Rudolf, Method of lower and upper solutions for a generalized boundary value problem
  2. Eva Rovderová, Existence of solution to nonlinear boundary value problem for ordinary differential equation of the second order in Hilbert space
  3. Róbert Vrábeľ, Boundary value problem with an inner point for the singularly perturbed semilinear differential equations
  4. Róbert Vrábeľ, Quasilinear and quadratic singularly perturbed periodic boundary value problem
  5. Evgenios P. Avgerinos, Nikolaos S. Papageorgiou, Extremal solutions and relaxation for second order vector differential inclusions
  6. Róbert Vrábeľ, Quasilinear and quadratic singularly perturbed Neumann's problem
  7. Róbert Vrábeľ, Asymptotic behavior of T -periodic solutions of singularly perturbed second-order differential equation
  8. Boris Rudolf, An existence and multiplicity result for a periodic boundary value problem
  9. Milan Gera, Alexander Haščák, Sixty years of Professor Valter Šeda
  10. Boris Rudolf, Zbyněk Kubáček, Professor Šeda, septuagenerian

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