On some properties of the solution of the differential equation $u''+\frac{2u'}{r}=u-u^3$

Autor:	Šeda, Valter, 1931-
Další autoři:	Pekár, Ján, 1952-
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles spherically symmetric solution trajectory of the solution со-limit point of the trajectory asymptotic formula antitone and contractive operator zero of the solution Klein-Gordon equation global behavior
Druh dokumentu:	Non-fiction
ISSN:	0373-6725
Abstrakt:	Abstract: In the paper it is shown that each solution $u(r,\alpha)$ ot the initial value problem (2), (3) has a finite limit for $r\rightarrow \infty$, and an asymptotic formula for the nontrivial solution $u(r,\alpha)$ tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions $u(r,\bar{\alpha})$, $u(r,\hat{\alpha})$.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text