Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line

Hugo Carrasco; Feliz Minhós

Commentationes Mathematicae Universitatis Carolinae (2017)

  • Volume: 58, Issue: 4, page 443-459
  • ISSN: 0010-2628

Abstract

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This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.

How to cite

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Carrasco, Hugo, and Minhós, Feliz. "Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line." Commentationes Mathematicae Universitatis Carolinae 58.4 (2017): 443-459. <http://eudml.org/doc/294769>.

@article{Carrasco2017,
abstract = {This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.},
author = {Carrasco, Hugo, Minhós, Feliz},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional boundary conditions; unbounded solutions; half-line; upper and lower solutions; Nagumo condition; Green's function; fixed point theory; Falkner-Skan equation},
language = {eng},
number = {4},
pages = {443-459},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line},
url = {http://eudml.org/doc/294769},
volume = {58},
year = {2017},
}

TY - JOUR
AU - Carrasco, Hugo
AU - Minhós, Feliz
TI - Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2017
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 58
IS - 4
SP - 443
EP - 459
AB - This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.
LA - eng
KW - functional boundary conditions; unbounded solutions; half-line; upper and lower solutions; Nagumo condition; Green's function; fixed point theory; Falkner-Skan equation
UR - http://eudml.org/doc/294769
ER -

References

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