On solutions of a fourth-order Lidstone boundary value problem at resonance

Mariusz Jurkiewicz

Annales Polonici Mathematici (2009)

  • Volume: 95, Issue: 1, page 1-16
  • ISSN: 0066-2216

Abstract

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We consider a Lidstone boundary value problem in k at resonance. We prove the existence of a solution under the assumption that the nonlinear part is a Carathéodory map and conditions similar to those of Landesman-Lazer are satisfied.

How to cite

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Mariusz Jurkiewicz. "On solutions of a fourth-order Lidstone boundary value problem at resonance." Annales Polonici Mathematici 95.1 (2009): 1-16. <http://eudml.org/doc/280625>.

@article{MariuszJurkiewicz2009,
abstract = {We consider a Lidstone boundary value problem in $ℝ^\{k\}$ at resonance. We prove the existence of a solution under the assumption that the nonlinear part is a Carathéodory map and conditions similar to those of Landesman-Lazer are satisfied.},
author = {Mariusz Jurkiewicz},
journal = {Annales Polonici Mathematici},
keywords = {resonance; Lidstone boundary value problem; eigenvalue; Landesman-Lazer condition},
language = {eng},
number = {1},
pages = {1-16},
title = {On solutions of a fourth-order Lidstone boundary value problem at resonance},
url = {http://eudml.org/doc/280625},
volume = {95},
year = {2009},
}

TY - JOUR
AU - Mariusz Jurkiewicz
TI - On solutions of a fourth-order Lidstone boundary value problem at resonance
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 1
SP - 1
EP - 16
AB - We consider a Lidstone boundary value problem in $ℝ^{k}$ at resonance. We prove the existence of a solution under the assumption that the nonlinear part is a Carathéodory map and conditions similar to those of Landesman-Lazer are satisfied.
LA - eng
KW - resonance; Lidstone boundary value problem; eigenvalue; Landesman-Lazer condition
UR - http://eudml.org/doc/280625
ER -

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