Multiple positive solutions to multipoint one-dimensional p -Laplacian boundary value problem with impulsive effects

Yuansheng Tian; Anping Chen; Weigao Ge

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 1, page 127-144
  • ISSN: 0011-4642

Abstract

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In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional p -Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.

How to cite

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Tian, Yuansheng, Chen, Anping, and Ge, Weigao. "Multiple positive solutions to multipoint one-dimensional $p$-Laplacian boundary value problem with impulsive effects." Czechoslovak Mathematical Journal 61.1 (2011): 127-144. <http://eudml.org/doc/196489>.

@article{Tian2011,
abstract = {In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional $p$-Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.},
author = {Tian, Yuansheng, Chen, Anping, Ge, Weigao},
journal = {Czechoslovak Mathematical Journal},
keywords = {$p$-Laplacian operator; boundary value problem; impulsive differential equations; fixed-point theorem; positive solutions; -Laplacian operator; boundary value problem; impulsive differential equation; fixed-point theorem; positive solution},
language = {eng},
number = {1},
pages = {127-144},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multiple positive solutions to multipoint one-dimensional $p$-Laplacian boundary value problem with impulsive effects},
url = {http://eudml.org/doc/196489},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Tian, Yuansheng
AU - Chen, Anping
AU - Ge, Weigao
TI - Multiple positive solutions to multipoint one-dimensional $p$-Laplacian boundary value problem with impulsive effects
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 1
SP - 127
EP - 144
AB - In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional $p$-Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.
LA - eng
KW - $p$-Laplacian operator; boundary value problem; impulsive differential equations; fixed-point theorem; positive solutions; -Laplacian operator; boundary value problem; impulsive differential equation; fixed-point theorem; positive solution
UR - http://eudml.org/doc/196489
ER -

References

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