Pseudo Almost Periodic Solutions to a Class of Semilinear Differential Equations

被引:0
|
作者
Toka Diagana
机构
[1] Howard University,Department of Mathematics
来源
Nonlinear Dynamics | 2006年 / 45卷
关键词
almost periodic function; Banach fixed-point principle; existence and uniqueness of a pseudo almost periodic solution; infinitesimal generator of a ; -group; pseudo almost periodic function; the method of the invariant subspaces for unbounded linear operators;
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摘要
This paper is concerned with the existence and uniqueness of pseudo almost periodic solutions to a class of semilinear differential equations involving the algebraic sum of two (possibly noncommuting) densely defined closed linear operators acting on a Hilbert space. Sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those semilinear equations are obtained.
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页码:45 / 53
页数:8
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