# A notion of boundedness for hyperfunctions and Massera type theorems

Banach Center Publications (2012)

- Volume: 97, Issue: 1, page 101-111
- ISSN: 0137-6934

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topYasunori Okada. "A notion of boundedness for hyperfunctions and Massera type theorems." Banach Center Publications 97.1 (2012): 101-111. <http://eudml.org/doc/282137>.

@article{YasunoriOkada2012,

abstract = {
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.
},

author = {Yasunori Okada},

journal = {Banach Center Publications},

keywords = {bounded hyperfunctions; Massera type theorems},

language = {eng},

number = {1},

pages = {101-111},

title = {A notion of boundedness for hyperfunctions and Massera type theorems},

url = {http://eudml.org/doc/282137},

volume = {97},

year = {2012},

}

TY - JOUR

AU - Yasunori Okada

TI - A notion of boundedness for hyperfunctions and Massera type theorems

JO - Banach Center Publications

PY - 2012

VL - 97

IS - 1

SP - 101

EP - 111

AB -
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.

LA - eng

KW - bounded hyperfunctions; Massera type theorems

UR - http://eudml.org/doc/282137

ER -

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