Exponential decay of the solutions of the beams system

被引：18

作者：

De Lacerda Oliveira, Milton ^{[1
]}

De Lima, Osmundo Alves ^{[2
]}

机构：

[1] Dept Matematica e Estatistica, Universidade Federal da Paraiba, 58109-970 Campina Grande PB, Brazil

[2] Dept Matematica, Universidade Estadual da Paraiba, Campina Grande, Brazil

来源：

Nonlinear Analysis, Theory, Methods and Applications | 2000年 / 42卷 / 07期

关键词：

Beams and girders - Mathematical operators - Nonlinear systems - One dimensional - Oscillations - Theorem proving - Vectors - Vibrations (mechanical);

D O I：

10.1016/S0362-546X(99)00155-8

中图分类号：

学科分类号：

摘要：

This study addresses D(A) continuously embedded in H, but not necessarily compact. Results of the existence of solutions are obtained by using the Dixmier diagonalization theorem. Using Zuazua's method, it is shown that the energy associated with the beams system decay at an exponential rate.

引用

页码：1271 / 1291