Variational method and conjugacy criteria for half-linear differential equations

Martin Chvátal; Ondřej Došlý

Archivum Mathematicum (2013)

  • Volume: 049, Issue: 1, page 9-16
  • ISSN: 0044-8753

Abstract

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We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy functional.

How to cite

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Chvátal, Martin, and Došlý, Ondřej. "Variational method and conjugacy criteria for half-linear differential equations." Archivum Mathematicum 049.1 (2013): 9-16. <http://eudml.org/doc/252535>.

@article{Chvátal2013,
abstract = {We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy functional.},
author = {Chvátal, Martin, Došlý, Ondřej},
journal = {Archivum Mathematicum},
keywords = {half-linear differential equation; conjugacy criteria; variational principle; energy functional; half-linear trigonometric functions; half-linear differential equation; conjugacy criteria; variational principle; energy functional; half-linear trigonometric functions},
language = {eng},
number = {1},
pages = {9-16},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Variational method and conjugacy criteria for half-linear differential equations},
url = {http://eudml.org/doc/252535},
volume = {049},
year = {2013},
}

TY - JOUR
AU - Chvátal, Martin
AU - Došlý, Ondřej
TI - Variational method and conjugacy criteria for half-linear differential equations
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 1
SP - 9
EP - 16
AB - We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy functional.
LA - eng
KW - half-linear differential equation; conjugacy criteria; variational principle; energy functional; half-linear trigonometric functions; half-linear differential equation; conjugacy criteria; variational principle; energy functional; half-linear trigonometric functions
UR - http://eudml.org/doc/252535
ER -

References

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