International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 29-37
doi:10.1155/S0161171289000049
On a global classical solution of a quasilinear hyperbolic equation
Y Ebihara1
and D.C. Pereira2
1Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-01, Japan
2lnstituto de Mathematica-UFRJ, Rio de Janeiro CP 68530, CEP 21944, Brazil
Abstract
In this paper we establish the existence and uniqueness of global classical solutions for the equation which arises in the study of the extensional vibrations of thin rod, or torsional vibrations of thin rod.