| Title:
|
Existence of nonzero solutions for a class of damped vibration problems with impulsive effects (English) |
| Author:
|
Bai, Liang |
| Author:
|
Dai, Binxiang |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2014 |
| Pages:
|
145-165 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a class of damped vibration problems with impulsive effects is considered. An existence result is obtained by using the variational method and the critical point theorem due to Brezis and Nirenberg. The obtained result is also valid and new for the corresponding second-order impulsive Hamiltonian system. Finally, an example is presented to illustrate the feasibility and effectiveness of the result. (English) |
| Keyword:
|
impulsive problem |
| Keyword:
|
damped vibration problem |
| Keyword:
|
variational method |
| Keyword:
|
critical point |
| MSC:
|
34B37 |
| MSC:
|
58E30 |
| idZBL:
|
Zbl 06362218 |
| idMR:
|
MR3183469 |
| DOI:
|
10.1007/s10492-014-0046-6 |
| . |
| Date available:
|
2014-03-20T08:18:49Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143626 |
| . |
| Reference:
|
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