A notion of boundedness for hyperfunctions and Massera type theorems

• Autorzy: Yasunori Okada
• Języki publikacji: EN

Abstrakty

EN

For some classes of periodic linear ordinary differential equations and functional equations, it is known that the existence of a bounded solution in the future implies the existence of a periodic solution. In order to think on such phenomena for hyperfunction solutions to linear functional equations, we introduced a notion of bounded hyperfunctions, and translated the problems into the problems on analytic solutions to some equations in complex domains.
In this article, after recalling the terminology, we briefly review our approach to the equations with finite delay, and announce our recent result on some classes of equations with infinite delay.

Kategorie tematyczne

• 34K13: Periodic solutions
• 32A45: Hyperfunctions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 97
• Numer: 1
• Strony: 101-111

Daty

wydano

2012

Twórcy

autor

Yasunori Okada

• Department of Mathematics and Informatics, Graduate School of Science, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba, 263-8522, Japan

Identyfikatory

DOI

10.4064/bc97-0-7