Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Oscillation criteria of solution for a second order difference equation with forced term - MaRDI portal

Oscillation criteria of solution for a second order difference equation with forced term (Q624428)

From MaRDI portal





scientific article; zbMATH DE number 5848771
Language Label Description Also known as
English
Oscillation criteria of solution for a second order difference equation with forced term
scientific article; zbMATH DE number 5848771

    Statements

    Oscillation criteria of solution for a second order difference equation with forced term (English)
    0 references
    0 references
    0 references
    9 February 2011
    0 references
    Summary: We consider oscillation criteria for the second order difference equation with forced term \(\Delta(a_n\Delta(x_n+\lambda x_{n-\tau}))+q_nx_{n-\sigma}=r_n\) \((n\geq 0)\). We establish sufficient conditions which guarantee that every solution is oscillatory or eventually positive solutions converge to zero.
    0 references
    second order difference equation
    0 references
    positive solutions
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references