Continuous Dependence of Solutions to Fourth-Order Nonlinear Wave Equation

Abstract

This paper gives a priori estimates and continuous dependence of the solutions to fourth-order nonlinear wave equation.

Continuous dependence of solutions for damped improved Boussinesq equation

“…Many results of this kind have been extensively investigated by Ames and Straughan [1]. Such works were examined in books [1,20] and articles [5,6] and the references therein.…”

Continuous dependence of solutions to the strongly damped nonlinear Klein{Gordon equation

“…In these calculations changes in coefficients are permitted or even the model itself can be changed. Such works were examined in books [1,4] and articles [7,10] and the references therein.…”