Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions

Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions

In this paper, we investigate a mathematical model for a nonlinear coupled system of Kirchhoff type of beam equations with nonlocal boundary conditions. We establish existence, regularity and uniqueness of strong solutions. Furthermore, we prove the uniform rate of exponential decay. The uniform rat...

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Main Authors: M. L. Santos, M. P. C. Rocha, D. C. Pereira, J. Ferreira
Format: Article
Language:English
Published: University of Szeged 2005-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=214
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spelling doaj-89e9ef7c6097447b86e4edb11b69899a2021-07-14T07:21:18ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752005-04-012005612810.14232/ejqtde.2005.1.6214Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditionsM. L. Santos0M. P. C. Rocha1D. C. Pereira2J. Ferreira3UFPA, Para, BrazilUFPA, Para, BrazilUFPA, Para, BrazilUFPA, Para, BrazilIn this paper, we investigate a mathematical model for a nonlinear coupled system of Kirchhoff type of beam equations with nonlocal boundary conditions. We establish existence, regularity and uniqueness of strong solutions. Furthermore, we prove the uniform rate of exponential decay. The uniform rate of polynomial decay is considered.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=214
collection DOAJ
language English
format Article
sources DOAJ
author M. L. Santos
M. P. C. Rocha
D. C. Pereira
J. Ferreira
spellingShingle M. L. Santos
M. P. C. Rocha
D. C. Pereira
J. Ferreira
Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations
author_facet M. L. Santos
M. P. C. Rocha
D. C. Pereira
J. Ferreira
author_sort M. L. Santos
title Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions
title_short Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions
title_full Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions
title_fullStr Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions
title_full_unstemmed Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions
title_sort solvability for a nonlinear coupled system of kirchhoff type for the beam equations with nonlocal boundary conditions
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2005-04-01
description In this paper, we investigate a mathematical model for a nonlinear coupled system of Kirchhoff type of beam equations with nonlocal boundary conditions. We establish existence, regularity and uniqueness of strong solutions. Furthermore, we prove the uniform rate of exponential decay. The uniform rate of polynomial decay is considered.
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=214
work_keys_str_mv AT mlsantos solvabilityforanonlinearcoupledsystemofkirchhofftypeforthebeamequationswithnonlocalboundaryconditions
AT mpcrocha solvabilityforanonlinearcoupledsystemofkirchhofftypeforthebeamequationswithnonlocalboundaryconditions
AT dcpereira solvabilityforanonlinearcoupledsystemofkirchhofftypeforthebeamequationswithnonlocalboundaryconditions
AT jferreira solvabilityforanonlinearcoupledsystemofkirchhofftypeforthebeamequationswithnonlocalboundaryconditions
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