| Title:
|
An existence theorem for periodic boundary value problems for systems of second order diffferential equations (English) |
| Author:
|
Bebernes, J. |
| Author:
|
Schmitt, K. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
8 |
| Issue:
|
4 |
| Year:
|
1972 |
| Pages:
|
173-176 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0284.34016 |
| idMR:
|
MR0335926 |
| . |
| Date available:
|
2008-06-05T19:53:27Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104775 |
| . |
| Reference:
|
[1] Bebernes J., Schmitt K.: Periodic boundary value problems for systems of second order differential equations.J. Differential Equations, 13 (1973), 32-47. Zbl 0284.34016, MR 0340700 |
| Reference:
|
[2] Hartman P.: On boundary value problems for systems of ordinary nonlinear second order differential equations.Trans. Amer. Math. Soc. 96 (I960), 493-509. Zbl 0098.06101, MR 0124553 |
| Reference:
|
[3] Knobloch H.: Eine neue Methode zur Approximation periodischer Lösungen nichtlinearer Differential-gleichungen zweiter Ordunung.Math. Z. 82 (1963), 177-197. MR 0158124 |
| Reference:
|
[4] Knobloch H.: On the existence of periodic solutions of second order vector differential equations.J. Differential Equations 9 (1971), 67-85. MR 0277824 |
| Reference:
|
[5] Krasnoseľskii M. A.: Translation Along Trajectories of Differential Equations.Transl. of Russian Monograph Ser. Vol. 19, Amer. Math. Soc., Providence, Rhode Island, 1968. MR 0223640 |
| Reference:
|
[6] Mawhin J.: Existence of periodic solutions for higher order differential systems that are not of class D.J. Differential Equations 8 (1970), 523-530. Zbl 0224.34034, MR 0271471 |
| Reference:
|
[7] Schmitt K.: Periodic solutions of nonlinear second order differential equations.Math. Z. 98 (1967), 200-207. Zbl 0153.12501, MR 0213653 |
| Reference:
|
[8] Schmitt K.: Periodic solutions of systems of second order differential equations.J. Differential Equations 11 (1972), 180-192. Zbl 0228.34023, MR 0294790 |
| Reference:
|
[9] Schwartz J.: Nonlinear Functional Analysis.Gordon and Breach, New York, 1969. Zbl 0203.14501, MR 0433481 |
| . |
