Periodic solutions of difference equations
نویسندگان
چکیده
منابع مشابه
Nonlinear Difference Equations with Periodic Solutions
For ten nonlinear difference equations with only p-periodic solutions it is shown that the characteristic polynomials of the corresponding linearized equations about the equilibria have only zeros which are p-th roots of unity. An analogous result is shown concerning two systems of such equations. Five counterexamples show that the reverse is not true. Some remarks are made concerning equations...
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has been considered. To the best of our knowledge, however, little has been done for the abstract difference equations see 7–9 . In this note, we will consider this problem. To this end, let X be a real Banach space and let K ⊂ X be a cone, then a Banach space X with a partial ordering ≤ induced by a coneK is called an ordered Banach space. On the other hand, we will denote the identity operato...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00473-6