…
►We indicate here how to obtain the limiting forms of
,
,
, and
as
, with
and
fixed, in the following cases:
►
(a)
►
(b)
When with , Equations (33.16.10)–(33.16.13)
are combined with
33.21.1
,
,
33.21.2
.
Corresponding approximations for and
as can be obtained via
(33.16.17), and as via (33.16.18).
►
(c)
…
►For asymptotic expansions of
and
as
with
and
fixed, see
Curtis (1964a, §6).
…
►where
is an arbitrary constant, is
►
32.4.10
►
32.4.11
…
►
32.4.13
…
►
32.4.14
…
§28.17 Stability as
►If all solutions of (
28.2.1) are bounded when
along the real axis, then the corresponding pair of parameters
is called
stable.
…
►For example, as
one of the solutions
and
tends to
and the other is unbounded (compare Figure
28.13.5).
…