Multipoint boundary value problems for discrete equations

Pavel Drábek; Harold Bevan Thompson; Christopher Tisdell

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 3, page 459-468
  • ISSN: 0010-2628

Abstract

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In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.

How to cite

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Drábek, Pavel, Thompson, Harold Bevan, and Tisdell, Christopher. "Multipoint boundary value problems for discrete equations." Commentationes Mathematicae Universitatis Carolinae 42.3 (2001): 459-468. <http://eudml.org/doc/248779>.

@article{Drábek2001,
abstract = {In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.},
author = {Drábek, Pavel, Thompson, Harold Bevan, Tisdell, Christopher},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {second order difference equations; discrete boundary value problems; multipoint boundary conditions; degree theory; nonlinear boundary conditions; second order difference equations; discrete boundary value problems; multipoint boundary conditions; degree theory; nonlinear boundary conditions},
language = {eng},
number = {3},
pages = {459-468},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Multipoint boundary value problems for discrete equations},
url = {http://eudml.org/doc/248779},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Drábek, Pavel
AU - Thompson, Harold Bevan
AU - Tisdell, Christopher
TI - Multipoint boundary value problems for discrete equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 3
SP - 459
EP - 468
AB - In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.
LA - eng
KW - second order difference equations; discrete boundary value problems; multipoint boundary conditions; degree theory; nonlinear boundary conditions; second order difference equations; discrete boundary value problems; multipoint boundary conditions; degree theory; nonlinear boundary conditions
UR - http://eudml.org/doc/248779
ER -

References

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  14. Thompson H.B., Second order differential equations with fully nonlinear two point boundary value problems, Pacific J. Math. 172 (1996), 255-277. (1996) MR1379297
  15. Thompson H.B., Tisdell C.C., Nonlinear multipoint boundary value problems for weakly coupled systems, Bull. Austral. Math. Soc. 60 (1999), 45-54. (1999) Zbl0940.34011MR1702842
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