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Pseudo Almost Periodic Solutions of Some Delay Differential Equations

✍ Scribed by E. Ait Dads; K. Ezzinbi


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
144 KB
Volume
201
Category
Article
ISSN
0022-247X

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✦ Synopsis


The purpose of this paper is to show how the decomposition theory of linear autonomous and pseudo almost periodic systems can be used to obtain results for ''perturbed'' linear systems with pseudo almost periodic coefficients. This theory together with a natural adaptation of the methods for ordinary differential equations yields the results in an elementary manner. No attempt is made to present the results in the most general form since our primary concern is to indicate the variety of problems to which the methods are applicable. The essential mean used is the exponential dichotomy method.


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Composition of Pseudo Almost-Periodic Fu
✍ Hong-xu Li; Fa-lun Huang; Ji-yong Li πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 91 KB

Under the assumption of uniformly continuity, we establish a composition theorem of pseudo almost-periodic functions in general Banach spaces. As an application, we give some existence theorems of pseudo almost-periodic solutions and mild pseudo almost-periodic solutions for some differential equati