Problems with nonlinear boundary value conditions

Michal Fečkan

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 4, page 597-604
  • ISSN: 0010-2628

Abstract

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The existence and multiplicity results are shown for certain types of problems with nonlinear boundary value conditions.

How to cite

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Fečkan, Michal. "Problems with nonlinear boundary value conditions." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 597-604. <http://eudml.org/doc/247362>.

@article{Fečkan1992,
abstract = {The existence and multiplicity results are shown for certain types of problems with nonlinear boundary value conditions.},
author = {Fečkan, Michal},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonlinear boundary value problems; multiple solutions; Melnikov functions; nonlinear boundary value problems; multiple solution; implicit function theorem; Mawhin coincidence degree theory; Nielsen fixed point theory; Melnikov function},
language = {eng},
number = {4},
pages = {597-604},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Problems with nonlinear boundary value conditions},
url = {http://eudml.org/doc/247362},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Fečkan, Michal
TI - Problems with nonlinear boundary value conditions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 597
EP - 604
AB - The existence and multiplicity results are shown for certain types of problems with nonlinear boundary value conditions.
LA - eng
KW - nonlinear boundary value problems; multiple solutions; Melnikov functions; nonlinear boundary value problems; multiple solution; implicit function theorem; Mawhin coincidence degree theory; Nielsen fixed point theory; Melnikov function
UR - http://eudml.org/doc/247362
ER -

References

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  1. Samoilenko A.M., Le Loyong Tai, On a method of study of boundary value problems with nonlinear boundary value conditions (in Russian), Ukrainian Math. Journal 42 (1990), 951-957. (1990) MR1075977
  2. Guckenheimer J., Holmes P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag New York (1983). (1983) Zbl0515.34001MR0709768
  3. Mawhin J., Nonlinear functional analysis and periodic solutions of ordinary differential equations, in Summer School on Ordinary Differential Equations-Difford 74, Brno (1974), 37-60. (1974) 
  4. Fečkan M., Nielsen fixed point theory and nonlinear equations, to appear in Journal of Differential Equations. 
  5. Chow S.-N., Hale J.K., Methods of Bifurcations Theory, Springer-Verlag New York (1982). (1982) MR0660633

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