Decay and growth estimates for solutions of second-order and third-order differential-operator equations

作者：Kalantarov V K^*; Yilmaz Y

来源：Nonlinear Analysis-Theory Methods & Applications, 2013, 89: 1-7.

DOI：10.1016/j.na.2013.04.016

• Differential-operator equations
• Third-order equations
• Stability
• Decay estimate
• Growth estimate

We obtained decay and growth estimates for solutions of second-order and third-order differential-operator equations in a Hilbert space. Applications to initial-boundary value problems for linear and nonlinear non-stationary partial differential equations modeling the strongly damped nonlinear improved Boussinesq equation, the dual-phase-lag heat conduction equations, the equation describing wave propagation in relaxing media, and the Moore-Gibson-Thompson equation are given.

• 出版日期2013-9