Systems of singular BVPs - existence of solutions and their properties

Aleksandra Orpel

Banach Center Publications (2014)

  • Volume: 101, Issue: 1, page 133-143
  • ISSN: 0137-6934

Abstract

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We discuss the existence and properties of solutions for systems of singular second-order ODEs in both sublinear and superlinear cases. Our approach is based on the variational method enriched by some topological ideas. We also investigate the continuous dependence of solutions on functional parameters.

How to cite

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Aleksandra Orpel. "Systems of singular BVPs - existence of solutions and their properties." Banach Center Publications 101.1 (2014): 133-143. <http://eudml.org/doc/281770>.

@article{AleksandraOrpel2014,
abstract = {We discuss the existence and properties of solutions for systems of singular second-order ODEs in both sublinear and superlinear cases. Our approach is based on the variational method enriched by some topological ideas. We also investigate the continuous dependence of solutions on functional parameters.},
author = {Aleksandra Orpel},
journal = {Banach Center Publications},
keywords = {nonlinear ordinary differential equations; mixed boundary conditions; singularity; existence; positive solutions; variational method},
language = {eng},
number = {1},
pages = {133-143},
title = {Systems of singular BVPs - existence of solutions and their properties},
url = {http://eudml.org/doc/281770},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Aleksandra Orpel
TI - Systems of singular BVPs - existence of solutions and their properties
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 133
EP - 143
AB - We discuss the existence and properties of solutions for systems of singular second-order ODEs in both sublinear and superlinear cases. Our approach is based on the variational method enriched by some topological ideas. We also investigate the continuous dependence of solutions on functional parameters.
LA - eng
KW - nonlinear ordinary differential equations; mixed boundary conditions; singularity; existence; positive solutions; variational method
UR - http://eudml.org/doc/281770
ER -

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