Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 100, pp. 1-14.

Title: Global solutions to a quasilinear hyperbolic equation
       
Authors: Manuel Milla Miranda (Univ. Estadual da Paraiba, PB, Brazil)
         Luiz A. Medeiros (Univ. Federal do Rio de Janeiro, RJ, Brazil)
         Aldo T. Louredo (Univ. Estadual da Paraiba, PB, Brazil)

Abstract:
 This article concerns the existence and decay of solutions of a mixed problem
 for a quasilinear hyperbolic equation which has its motivation in a mathematical
 model that describes the nonlinear vibrations of the cross-section of a bar.
 
Submitted May 29, 2019. Published September 24, 2020.
Math Subject Classifications: 35L15, 35L20, 35K55, 35L60, 35L70.
Key Words: Quasilinear hyperbolic equation; longitudinal bar;
           existence of solutions.