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 of first-order neutral differential equations with unbounded delay and Euler form - MaRDI portal

Oscillation of first-order neutral differential equations with unbounded delay and Euler form (Q1011131)

From MaRDI portal





scientific article; zbMATH DE number 5541319
Language Label Description Also known as
English
Oscillation of first-order neutral differential equations with unbounded delay and Euler form
scientific article; zbMATH DE number 5541319

    Statements

    Oscillation of first-order neutral differential equations with unbounded delay and Euler form (English)
    0 references
    0 references
    0 references
    7 April 2009
    0 references
    The authors consider the following type of neutral differential equation \[ \frac d{dx}(x(t)-cx(\alpha t))+\frac 1t \sum_{i=1}^n p_i x(\beta_i t)=0,\quad t\geq t_0>0 \] to establish necessary and sufficient conditions for the oscillation of all solutions. Couple of examples are also given to illustrate some of these results.
    0 references
    0 references
    oscillation
    0 references
    neutral differential equation
    0 references
    unbounded delay
    0 references

    Identifiers