On existence theorems for semilinear equations and applications

Fang Zhang; Feng Wang

Annales Polonici Mathematici (2013)

  • Volume: 107, Issue: 2, page 123-131
  • ISSN: 0066-2216

Abstract

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Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.

How to cite

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Fang Zhang, and Feng Wang. "On existence theorems for semilinear equations and applications." Annales Polonici Mathematici 107.2 (2013): 123-131. <http://eudml.org/doc/280433>.

@article{FangZhang2013,
abstract = {Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.},
author = {Fang Zhang, Feng Wang},
journal = {Annales Polonici Mathematici},
keywords = {fixed point index; A-proper semilinear operators; resonance; boundary value problem; positive solutions},
language = {eng},
number = {2},
pages = {123-131},
title = {On existence theorems for semilinear equations and applications},
url = {http://eudml.org/doc/280433},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Fang Zhang
AU - Feng Wang
TI - On existence theorems for semilinear equations and applications
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 2
SP - 123
EP - 131
AB - Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.
LA - eng
KW - fixed point index; A-proper semilinear operators; resonance; boundary value problem; positive solutions
UR - http://eudml.org/doc/280433
ER -

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