Method of lower and upper solutions for a generalized boundary value problem

Boris Rudolf

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 5, page 595-602
  • ISSN: 0044-8753

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Rudolf, Boris. "Method of lower and upper solutions for a generalized boundary value problem." Archivum Mathematicum 036.5 (2000): 595-602. <http://eudml.org/doc/248519>.

@article{Rudolf2000,
author = {Rudolf, Boris},
journal = {Archivum Mathematicum},
keywords = {boundary value problem; existence; lower and upper solutions; Leray-Schauder degree},
language = {eng},
number = {5},
pages = {595-602},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Method of lower and upper solutions for a generalized boundary value problem},
url = {http://eudml.org/doc/248519},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Rudolf, Boris
TI - Method of lower and upper solutions for a generalized boundary value problem
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 5
SP - 595
EP - 602
LA - eng
KW - boundary value problem; existence; lower and upper solutions; Leray-Schauder degree
UR - http://eudml.org/doc/248519
ER -

References

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  1. 1. Fabry C., Mawhin J., Nkashama M.N., A multiplicity result for periodic solutions of forced nonlinear boundary value problems, Bull. London Math. Soc. 18 (1986), 173–186. (1986) MR0818822
  2. 2. Mawhin J., Points fixes, points critiques et problèmes aux limites, Sémin. Math. Sup. no.92, Presses Univ. Montréal, Montréal 1985. (1985) MR0789982
  3. 3. Mawhin J., Equivalence theorems for Nonlinear operator equations and Coincidence degree theory for some mappings in locally convex topological vector spaces, JDE 12 (1972), 610–636. (1972) Zbl0244.47049MR0328703
  4. 4. Rachůnková I., Multiplicity results for four-point boundary value problems, Nonlinear Analysis TMA 18 (1992), 497–505. (1992) MR1152724
  5. 5. Rachůnková I., On the existence of two solutions of the periodic problem for the ordinary second order differential equation, Nonlinear Analysis TMA 22 (1994), 1315–1322. (1994) MR1280199
  6. 6. Rachůnková I., Upper and lower solutions and topological degree, JMAA 234 (1999), 311–327. (1999) MR1694813
  7. 7. Rudolf B., A multiplicity result for a periodic boundary value problem, Nonlinear Analysis TMA, 22 (1997), 137–144. (1997) Zbl0859.34016MR1416037
  8. 8. Šeda V., On some nonlinear boundary value problems for ordinary differential equations, Archivum Mathematicum (Brno) 25 (1989), 207–222. (1989) MR1188065

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