On nonoscillating singular solutions of second kind to Emden-Fowler systems (Q2761400)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On nonoscillating singular solutions of second kind to Emden-Fowler systems |
scientific article; zbMATH DE number 1683438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonoscillating singular solutions of second kind to Emden-Fowler systems |
scientific article; zbMATH DE number 1683438 |
Statements
18 December 2001
0 references
Emden-Fowler system
0 references
singular solution
0 references
On nonoscillating singular solutions of second kind to Emden-Fowler systems (English)
0 references
For the Emden-Fowler system NEWLINE\[NEWLINE\dot u_i = p_i(t)|u_{i+1}(t)|^{\lambda_i} \text{sgn }u_{i+1}(t),\quad i=1,\dots,n,\quad u_{n+1}(t)\equiv u_1(t), \quad t>a>0,NEWLINE\]NEWLINE necessary and sufficient conditions are obtained for the existence of singular solutions of second kind with prescribed singularity point, and asymptotic estimates of such solutions are established.
0 references
