On the behavior at infinity of solutions to differential equations in hilbert spaces

被引：0

作者：

Gorbachuk M.L.

Shklyar A.Ya.

机构：

来源：

Journal of Mathematical Sciences | 1997年 / 85卷 / 6期

关键词：

Differential Equation; Hilbert Space; Asymptotic Behavior; Mathematical Physic; Operator Differential Equation;

D O I：

10.1007/BF02355842

中图分类号：

学科分类号：

摘要：

The paper deals with the operator differential equation y(2n)(t) + Ay(n) + By(t) = 0, where A and B are self-adjoint commuting operators in a Hilbert space. Criteria are established for stability and stabilization of solutions at infinity. In the case of growing solutions, their asymptotic behavior is investigated. Examples are given from mathematical physics. Bibliography: 21 titles. © 1997 Plenum Publishing Corporation.

引用

页码：2347 / 2362

页数：15

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