On asymptotic decaying solutions for a class of second order differential equations

Serena Matucci

Archivum Mathematicum (1999)

  • Volume: 035, Issue: 3, page 275-284
  • ISSN: 0044-8753

Abstract

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The author considers the quasilinear differential equations r ( t ) ϕ ( x ' ) ' + q ( t ) f ( x ) = 0 , t ≥ a and r ( t ) ϕ ( x ' ) ' + F ( t , x ) = ± g ( t ) , t ≥ a . By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations.

How to cite

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Matucci, Serena. "On asymptotic decaying solutions for a class of second order differential equations." Archivum Mathematicum 035.3 (1999): 275-284. <http://eudml.org/doc/248365>.

@article{Matucci1999,
abstract = {The author considers the quasilinear differential equations \begin\{gather\} \left(r(t)\varphi (x^\{\prime \})\right)^\{\prime \}+ q(t)f(x)=0\,,\quad \quad t\ge a\\ \multicolumn\{2\}\{l\}\{\text\{and\}\}\\ \left(r(t)\varphi (x^\{\prime \})\right)^\{\prime \} + F(t,x)=\pm g(t)\,,\quad \quad t\ge a\,. \end\{gather\} By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations.},
author = {Matucci, Serena},
journal = {Archivum Mathematicum},
keywords = {nonoscillatory behavior; asymptotic decaying nonnegative solutions; fixed point theorem; nonoscillatory behavior; asymptotic decaying nonnegative solutions; fixed-point theorem},
language = {eng},
number = {3},
pages = {275-284},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On asymptotic decaying solutions for a class of second order differential equations},
url = {http://eudml.org/doc/248365},
volume = {035},
year = {1999},
}

TY - JOUR
AU - Matucci, Serena
TI - On asymptotic decaying solutions for a class of second order differential equations
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 3
SP - 275
EP - 284
AB - The author considers the quasilinear differential equations \begin{gather} \left(r(t)\varphi (x^{\prime })\right)^{\prime }+ q(t)f(x)=0\,,\quad \quad t\ge a\\ \multicolumn{2}{l}{\text{and}}\\ \left(r(t)\varphi (x^{\prime })\right)^{\prime } + F(t,x)=\pm g(t)\,,\quad \quad t\ge a\,. \end{gather} By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations.
LA - eng
KW - nonoscillatory behavior; asymptotic decaying nonnegative solutions; fixed point theorem; nonoscillatory behavior; asymptotic decaying nonnegative solutions; fixed-point theorem
UR - http://eudml.org/doc/248365
ER -

References

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