Author:
Gschwindl Jürgen,Rachůnková Irena,Staněk Svatoslav,Weinmüller Ewa B
Abstract
Abstract
In this paper, we investigate the structure and properties of the set of positive blow-up solutions of the differential equation
(
t
k
v
′
(
t
)
)
′
=
t
k
h
(
t
,
v
(
t
)
)
,
t
∈
(
0
,
T
]
⊂
R
, where
k
∈
(
1
,
∞
)
. The differential equation is studied together with the boundary conditions
lim
t
→
0
+
v
(
t
)
=
∞
,
v
(
T
)
=
0
. We specify conditions for the data function h which guarantee that the set of all positive solutions to the above boundary value problem is nonempty. Further properties of the solutions are discussed and results of numerical simulations are presented.
MSC:34B18, 34B16, 34A12.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis