|
|
| |
| Oscillatory Property of n-th Order Functional Differential Equations |
| |
Citation： |
George W. Johnson,Yan Jurang.Oscillatory Property of n-th Order Functional Differential Equations[J].Chinese Annals of Mathematics B,1985,6(1):47~52 |
| Page view： 846
Net amount： 825 |
Authors： |
George W. Johnson; Yan Jurang |
|
|
| Abstract： |
The authors study oscillatory property of nonlinear functional differential equation
$L_nx(t)+p(t)f(x(t),x(g(t)))=r(t)$(1)
where L_nx(t) is an n-th order linear differential operator defined by
$L_0x(t)=x(t)$,
$L_kx(t)=\frac{d}{dt}(a_k-1(t)L_k-1x(t)),k=1,2,\cdots,n.$
Sufficient conditions are obtained which guarantee that all continuable solutions of (1) are oscillatory or tend to zero as t\rightarrow \infinity. |
Keywords： |
|
Classification： |
|
|
|
Download PDF Full-Text
|
|
|
|
