M. L. Santos, M. P. C. Rocha, D. C. Pereira and J. Ferreira: 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

M. L. Santos, UFPA, Para, Brazil
M. P. C. Rocha, UFPA, Para, Brazil
D. C. Pereira, UFPA, Para, Brazil
J. Ferreira, UFPA, Para, Brazil

E. J. Qualitative Theory of Diff. Equ., No. 6. (2005), pp. 1-28.

Communicated by T. A. Burton.

Received on 2004-12-03
Appeared on 2005-04-18

Abstract: 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.

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