| Title:
|
Boundary value and periodic problem for the equation $x''(t)+g(x(t))=p(t)$ (English) |
| Author:
|
Fučík, Svatopluk |
| Author:
|
Lovicar, Vladimír |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
15 |
| Issue:
|
2 |
| Year:
|
1974 |
| Pages:
|
351-355 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 0284.34018 |
| idMR:
|
MR0348176 |
| . |
| Date available:
|
2008-06-05T20:44:58Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105559 |
| . |
| Reference:
|
[1] A. AMBROSETTI G. PRODI: Analisi non lineare.I quaderno, Pisa 1973. |
| Reference:
|
[2] L. CESARI: Functional analysis and periodic solutions of nonlinear equations.Contributions to differential equations I (1963), 149-187. MR 0151678 |
| Reference:
|
[3] S. FUČÍK: Nonlinear equations with noninvertible linear part.to appear in Czech. Math. Journal No 3 (1974). MR 0348568 |
| Reference:
|
[4] S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK: Spectral analysis of nonlinear operators.Lecture Notes in Math. No 346, Springer Verlag 1973. MR 0467421 |
| Reference:
|
[5] E. A. LANDESMAN A. C. LAZER: Nonlinear perturbations of linear elliptic boundary value problem at resonance.J. Math. Mech. 19 (1970), 609-623. MR 0267269 |
| Reference:
|
[6] A. M. MICHELETTI: Le soluzioni periodiche dell'equazioni differenziale non lineare $x\sp{\prime\prime}\,(t)+2x\sp{3}\,(t)=f(t)$.Ann. Univ. Ferrara 12 (1967), 103-119. MR 0223657 |
| Reference:
|
[7] G. R. MORRIS: A differential equation for undamped forced oscillation.Proc. Cambridge Phil. Soc. 51 (1955), p. 297, 54 (1958) p. 426, 61 (1965), P. 157, 62 (1965), p. 133. |
| Reference:
|
[8] J. NEČAS: On the range of nonlinear operators with linear asymptotes which are not invertible.Comment. Math. Univ. Carolinae 14 (1973), 63-72. MR 0318995 |
| Reference:
|
[9] K. SCHMITT: A nonlinear boundary value problem.J. Diff. Equ. 7 (1970), 527-537. Zbl 0198.12301, MR 0254314 |
| . |
