| Title:
|
Impulsive periodic boundary value problem (English) |
| Author:
|
Draessler, Jan |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
33-53 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation $(I-F)u = 0$ on a certain set $\Omega $ that is established using properties of strict lower and upper functions of the boundary value problem. (English) |
| Keyword:
|
Boundary value problem |
| Keyword:
|
topological degree |
| Keyword:
|
upper and lower functions |
| Keyword:
|
impulsive problem |
| Keyword:
|
periodic solution |
| Keyword:
|
differential equation. |
| MSC:
|
34B15 |
| MSC:
|
34B37 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 1072.34025 |
| idMR:
|
MR2124601 |
| . |
| Date available:
|
2009-08-21T12:53:56Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132948 |
| . |
| Reference:
|
[1] Rachůnková I., Tvrdý M.: Impulsive periodic boundary value problem and topological degree.Functional Differential Equations 9, 3-4 (2002), 471–498. Zbl 1048.34061, MR 1971622 |
| Reference:
|
[2] Rachůnková I., Tvrdý M.: Periodic boundary value problem for nonlinear second order differential equations with impulses – part I.Preprint 148/2002 MÚAV ČR, Prague. |
| Reference:
|
[3] Draessler J., Rachůnková I.: On three solutions of the second order periodic boundary value problem.Nonlinear Oscillations 4 (2002), 471–486. |
| . |
