| Title:
|
Green's functions for periodic and anti-periodic BVPs to second-order ODEs (English) |
| Author:
|
Andres, Ján |
| Author:
|
Vlček, Vladimír |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
7-16 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
34B27 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0795.34013 |
| idMR:
|
MR1273163 |
| . |
| Date available:
|
2009-01-29T15:39:16Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120284 |
| . |
| Reference:
|
[1] Hamedani G.G., Mehri B.: Periodic boundary value problem for certain non-linear second order differential equation.Stud. Sci. Math. Hung. 9 (1974), 307-312. MR 0409952 |
| Reference:
|
[2] Haraux A.: Anti-periodic solutions of some nonlinear evolution equations.Manuscripta Math. 63 (1989), 479-505. Zbl 0684.35010, MR 0991267 |
| Reference:
|
[3] Aizicovici S., Pavel N.H.: Anti-periodic solutions to a class of nonlinear differential equations in Hilbert space.J. Funct. Analysis 99 (1991), 387-408. Zbl 0743.34067, MR 1121619 |
| Reference:
|
[4] Aftabizadeh A.R., Aizicovici S., Pavel N.H.: Anti-periodic boundary value problems for higher order differential equations in Hilbert spaces.Nonlin. Anal., T.M.A. 18, 3 (1992), 253-267. Zbl 0779.34054, MR 1148289 |
| Reference:
|
[5] Erbe L., Palamides P.: Boundary value problems for second order differential systems.J. Math. Anal. Appl. 127 (1987), 80-92. Zbl 0635.34017, MR 0904211 |
| Reference:
|
[6] Palamides P.K., Erbe L.H.: Semi-periodic boundary value problems.Diff. Eqns (C. M. Daferemos et al, eds.), LNPAM/118, Dekker, Inc., New York, 1989. MR 1021756 |
| Reference:
|
[7] Erbe L.H., Lin X., Wu J.: Solvability of boundary value problems for vector differential systems.To appear in Proc. Royal-Soc. Edinbourgh. |
| Reference:
|
[8] Gaines R.E., Mawhin J.: Ordinary differential equations with nonlinear boundary conditions.J. Diff. Eqns 26, 2 (1977) 200-222. Zbl 0326.34021, MR 0463557 |
| Reference:
|
[9] Půža B.: On one class of solvable boundary value problems for ordinary differential equations of n-th order.CMUC 30, 3 (1989), 565-577. MR 1031873 |
| Reference:
|
[10] Roach G.F.: Green’s functions.Cambridge Univ. Press, Cambridge (1982) Zbl 0522.65075 |
| Reference:
|
[11] Collatz L.: Funkcionální analýza a numerická matematika.SNTL, Praha 1970. |
| Reference:
|
[12] Andres J., Vlček V.: On four-point regular BVPs for second-order quasilinear ODEs.Acta UPO, Fac. Rer. Nat., Math. XXXI, Vol. 105 (1992), 37-44. MR 1212604 |
| Reference:
|
[13] Bihari I.: Notes on a nonlinear integral equation.Stud. Sci. Math. Hung. 2 (1967), 1-6. Zbl 0147.10302, MR 0211231 |
| . |
