| Title:
|
Existence for nonoscillatory solutions of higher order nonlinear neutral differential equations (English) |
| Author:
|
Zhou, Yong |
| Author:
|
Zhang, B. G. |
| Author:
|
Huang, Y. Q. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
237-253 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Consider the forced higher-order nonlinear neutral functional differential equation \[ \frac{{\mathrm d}^n}{{\mathrm d}t^n}[x(t)+C(t) x(t-\tau )]+\sum ^m_{i=1} Q_i(t)f_i(x(t-\sigma _i))=g(t), \quad t\ge t_0, \] where $n, m \ge 1$ are integers, $\tau , \sigma _i\in {\mathbb{R}}^+ =[0, \infty )$, $C, Q_i, g\in C([t_0, \infty ), {\mathbb{R}})$, $f_i\in C(\mathbb{R}, \mathbb{R})$, $(i=1,2,\dots ,m)$. Some sufficient conditions for the existence of a nonoscillatory solution of above equation are obtained for general $Q_i(t)$ $(i=1,2,\dots ,m)$ and $g(t)$ which means that we allow oscillatory $Q_i(t)$ $(i=1,2,\dots ,m)$ and $g(t)$. Our results improve essentially some known results in the references. (English) |
| Keyword:
|
neutral differential equations |
| Keyword:
|
nonoscillatory solutions |
| MSC:
|
34K11 |
| MSC:
|
34K15 |
| MSC:
|
34K40 |
| idZBL:
|
Zbl 1081.34068 |
| idMR:
|
MR2121670 |
| . |
| Date available:
|
2009-09-24T11:22:33Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127973 |
| . |
| Reference:
|
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| Reference:
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