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- Title
A spectrum relation of almost periodic solution of second order scalar functional differential equations with piecewise constant argument.
- Authors
Wang, Li; Yuan, Rong; Zhang, Chuan
- Abstract
In this paper, the spectrum relation of almost periodic solution for the equation ( x( t) + px( t − 1))″ = qx([ t]) + f( t) is investigated. Although this has been discussed in an article, some counterexamples are constructed to show that some part of the spectrum inclusion in that article is not correct. The key point which causes such problem is found out. A new statement is formulated and proved.
- Subjects
SPECTRAL theory; NUMERICAL solutions to functional differential equations; CONTRACT theory; DIFFERENTIAL inclusions; MATHEMATICAL formulas; MATHEMATICAL proofs
- Publication
Acta Mathematica Sinica, 2011, Vol 27, Issue 11, p2275
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-011-8392-8