Bound sets and two-point boundary value problems for second order differential systems

Jean Mawhin; Katarzyna Szymańska-Dębowska

Mathematica Bohemica (2019)

  • Volume: 144, Issue: 4, page 373-392
  • ISSN: 0862-7959

Abstract

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The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.

How to cite

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Mawhin, Jean, and Szymańska-Dębowska, Katarzyna. "Bound sets and two-point boundary value problems for second order differential systems." Mathematica Bohemica 144.4 (2019): 373-392. <http://eudml.org/doc/294674>.

@article{Mawhin2019,
abstract = {The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.},
author = {Mawhin, Jean, Szymańska-Dębowska, Katarzyna},
journal = {Mathematica Bohemica},
keywords = {two-point boundary value problem; curvature bound set; Leray-Schauder theorem; Bernstein-Hartman condition},
language = {eng},
number = {4},
pages = {373-392},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bound sets and two-point boundary value problems for second order differential systems},
url = {http://eudml.org/doc/294674},
volume = {144},
year = {2019},
}

TY - JOUR
AU - Mawhin, Jean
AU - Szymańska-Dębowska, Katarzyna
TI - Bound sets and two-point boundary value problems for second order differential systems
JO - Mathematica Bohemica
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 144
IS - 4
SP - 373
EP - 392
AB - The solvability of second order differential systems with the classical separated or periodic boundary conditions is considered. The proofs use special classes of curvature bound sets or bound sets together with the simplest version of the Leray-Schauder continuation theorem. The special cases where the bound set is a ball, a parallelotope or a bounded convex set are considered.
LA - eng
KW - two-point boundary value problem; curvature bound set; Leray-Schauder theorem; Bernstein-Hartman condition
UR - http://eudml.org/doc/294674
ER -

References

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