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JOURNALS
// Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
// Archive
Zh. Vychisl. Mat. Mat. Fiz.,
1990
Volume 30,
Number 2,
Pages
319–320
(Mi zvmmf3314)
This article is cited in
1
paper
Scientific communications
Localized solutions of a certain non-linear second-order differential equation
B. V. Gisin
Moscow
Abstract:
A numerical investigation is carried out of bounded solutions of the equation if
$(R'+R/r)'=R-R\{R^2+\alpha(R'+R/r)^2\}$
which decrease at infinity. It is shown that if
$\alpha>0.145$
there are no solutions.
UDC:
519.62
MSC:
Primary
34A34
; Secondary
34C11
Received:
16.01.1989
Fulltext:
PDF file (237 kB)
References
Cited by
English version:
USSR Computational Mathematics and Mathematical Physics, 1990,
30
:1,
232–233
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024