| Title:
|
On a third-order three-point regular boundary value problem (English) |
| Author:
|
Šenkyřík, Martin |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
75-86 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0752.34017 |
| idMR:
|
MR1166427 |
| . |
| Date available:
|
2009-01-29T15:37:25Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120268 |
| . |
| Reference:
|
[1] Agarwal R.P.: On boundary value problems y" = f(x,y,y ', y ").Bull. of the Institute of Math. Sinica, 12 (1984), 153-157. MR 0765109 |
| Reference:
|
[2] Barr D., Sherman T.: Existence and uniqueness of solutions of three-point boundary value problems.J. Diff. Eqs. 13 (1973), 197-212. Zbl 0261.34014, MR 0333326 |
| Reference:
|
[3] Bebernes J.: A sub-function approach to boundary value problems for nonlinear ordinary differential equations.Pacif. J. Math. 13 (1963), 1063-1066. MR 0156018 |
| Reference:
|
[4] Carristi G.: A three-point boundary value problem for a third order differential equation.Boll. Unione Mat. Ital., C4, 1 (1985), 259-269. MR 0805218 |
| Reference:
|
[5] Das K.M., Lalli B.S.: Boundary value problems for y'"= f(x,y,y',y").J. Math. Anal. Appl., 81 (1981), 300-307. MR 0622819 |
| Reference:
|
[6] Gaines R.E., Mawhin J.L.: Coincidence Degree and Nonlinear Differential Equations.Berlin-Heidelberg-New York, Springer-Verlag, 1977. Zbl 0339.47031, MR 0637067 |
| Reference:
|
[7] Gupta C.P.: On a third-order three-point boundary value problem at resonance.Diff. Int. Equations, Vol 2, 1 (1989) 1-12. Zbl 0722.34014, MR 0960009 |
| Reference:
|
[8] Hardy G.H., Littlewood J.E., Polya G.: Inequalities.(Russian trans.), IL, Moscow, 1970. |
| Reference:
|
[9] Hartman P.: Ordinary Differential Equations.(Russian trans.), Mir, Moscow, 1970. Zbl 0214.09101, MR 0352574 |
| Reference:
|
[10] Hartman P.: On n-parameter families and interpolation problems for nonlinear ordinary differential equations.Trans. Amer. Math. Soc. 154 (1971), 201-266. Zbl 0222.34017, MR 0301277 |
| Reference:
|
[11] Henderson J., Jacson L.: Existence and uniquenes of solutions of k-point boundary value problems for ordinary differential equations.J.Diff.Eqs. 48 (1970), 373-385. |
| Reference:
|
[12] Kiguradze I.T.: On a singular problem of Cauchy-Nicoletti.Ann. Mat. Pura Appl. 104 (1975), 151-175. Zbl 0307.34003, MR 0402157 |
| Reference:
|
[13] Kiguradze I.T.: Some Singular Boundary Value Problems for Ordinary Differential Equations.(Russian), Univ. Press Tbilisi, 1975. MR 0499402 |
| Reference:
|
[14] Kiguradze I.T.: Boundary problems for systems of ordinary differential equations.(Russian), Itogi nauki i tech., Sovr.pr.mat., 30, Moscow, 1987. |
| Reference:
|
[15] Klaasen G.: Existence theorems for boundary value problems for n-th order ordinary differential equations.Rocky Mtn. J. Math. 3 (1973), 457-472. MR 0357944 |
| Reference:
|
[16] Lepina E., Lepin A.: Necessary and sufficient conditions for existence of a solution of a three-point BVP for a nonlinear third order differential equation.(Russian), Latv. Mat. Ežeg. 8 (1970), 149-154. |
| Reference:
|
[17] Rachůnková I.: On some three-point problems for third-order differential equations.(preprint). Zbl 0759.34020, MR 1154059 |
| Reference:
|
[18] Vasiljev N.I., Klokov J.A.: Elements of the Theory of Boundary Value Problems for Ordinary Differential Equations.(Russian), Zinatne, Riga, 1978. |
| . |
