On bounded nonoscillatory solutions of third-order nonlinear differential equations

Ivan Mojsej; Alena Tartaľová

Open Mathematics (2009)

  • Volume: 7, Issue: 4, page 717-724
  • ISSN: 2391-5455

Abstract

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This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.

How to cite

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Ivan Mojsej, and Alena Tartaľová. "On bounded nonoscillatory solutions of third-order nonlinear differential equations." Open Mathematics 7.4 (2009): 717-724. <http://eudml.org/doc/269670>.

@article{IvanMojsej2009,
abstract = {This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.},
author = {Ivan Mojsej, Alena Tartaľová},
journal = {Open Mathematics},
keywords = {Nonlinear differential equation with quasiderivatives; Third order; Bounded nonoscillatory solution; Asymptotic behavior; nonlinear differential equation with quasiderivatives; third order; bounded nonoscillatory solution; asymptotic behavior},
language = {eng},
number = {4},
pages = {717-724},
title = {On bounded nonoscillatory solutions of third-order nonlinear differential equations},
url = {http://eudml.org/doc/269670},
volume = {7},
year = {2009},
}

TY - JOUR
AU - Ivan Mojsej
AU - Alena Tartaľová
TI - On bounded nonoscillatory solutions of third-order nonlinear differential equations
JO - Open Mathematics
PY - 2009
VL - 7
IS - 4
SP - 717
EP - 724
AB - This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.
LA - eng
KW - Nonlinear differential equation with quasiderivatives; Third order; Bounded nonoscillatory solution; Asymptotic behavior; nonlinear differential equation with quasiderivatives; third order; bounded nonoscillatory solution; asymptotic behavior
UR - http://eudml.org/doc/269670
ER -

References

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