| タイトル | Periodic Motions in Banach Space and Applications to Functional-Differential Equations |
| 本文（外部サイト） | http://hdl.handle.net/2060/19640055179 |
| 著者（英） | Jones, G. Stephen |
| 発行日 | 1962-01-01
1962 |
| 言語 | eng |
| 内容記述 | In establishing the existence of periodic solutions for nonautonomous differential equations of the form x = g(x, t), where g is periodic in t of period for fixed x, it is often convenient to consider the translation operator T(x(t)) = x(t + ). If corresponding to each initial vector chosen in an appropriate region there corresponds a unique solution of our equation, then periodicity may be established by proving the existence of a fixed point under T. This same technique is also useful for more general functional equations and can be extended in a number of interesting ways. In this paper we shall consider a variable type of translation operator which is useful in investigating periodicity for autonomous differential and functional equations where the period involved is less obvious. |
| NASA分類 | Numerical Analysis |
| レポートNO | 64N83086
HQ-E-DAA-TN65804 |
| 権利 | Copyright, Public use permitted |
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