Positive solutions and eigenvalue intervals of a singular third-order boundary value problem

Qingliu Yao

Annales Polonici Mathematici (2011)

  • Volume: 102, Issue: 1, page 25-37
  • ISSN: 0066-2216

Abstract

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This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo-Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.

How to cite

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Qingliu Yao. "Positive solutions and eigenvalue intervals of a singular third-order boundary value problem." Annales Polonici Mathematici 102.1 (2011): 25-37. <http://eudml.org/doc/280694>.

@article{QingliuYao2011,
abstract = {This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo-Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.},
author = {Qingliu Yao},
journal = {Annales Polonici Mathematici},
keywords = {singular ordinary differential equation; boundary value problem; positive solution; eigenvalue interval},
language = {eng},
number = {1},
pages = {25-37},
title = {Positive solutions and eigenvalue intervals of a singular third-order boundary value problem},
url = {http://eudml.org/doc/280694},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Qingliu Yao
TI - Positive solutions and eigenvalue intervals of a singular third-order boundary value problem
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 1
SP - 25
EP - 37
AB - This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo-Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.
LA - eng
KW - singular ordinary differential equation; boundary value problem; positive solution; eigenvalue interval
UR - http://eudml.org/doc/280694
ER -

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