On the existence and the stability of solutions for higher-order semilinear Dirichlet problems

Marek Galewski; M. Płócienniczak

Czechoslovak Mathematical Journal (2007)

  • Volume: 57, Issue: 2, page 647-669
  • ISSN: 0011-4642

Abstract

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We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems.

How to cite

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Galewski, Marek, and Płócienniczak, M.. "On the existence and the stability of solutions for higher-order semilinear Dirichlet problems." Czechoslovak Mathematical Journal 57.2 (2007): 647-669. <http://eudml.org/doc/31152>.

@article{Galewski2007,
abstract = {We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems.},
author = {Galewski, Marek, Płócienniczak, M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Dirichlet problem},
language = {eng},
number = {2},
pages = {647-669},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the existence and the stability of solutions for higher-order semilinear Dirichlet problems},
url = {http://eudml.org/doc/31152},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Galewski, Marek
AU - Płócienniczak, M.
TI - On the existence and the stability of solutions for higher-order semilinear Dirichlet problems
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 2
SP - 647
EP - 669
AB - We investigate the existence and stability of solutions for higher-order two-point boundary value problems in case the differential operator is not necessarily positive definite, i.e. with superlinear nonlinearities. We write an abstract realization of the Dirichlet problem and provide abstract existence and stability results which are further applied to concrete problems.
LA - eng
KW - Dirichlet problem
UR - http://eudml.org/doc/31152
ER -

References

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