| Title:
|
Method of lower and upper solutions for 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:
|
31 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
60-70 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0769.34021 |
| idMR:
|
MR1212606 |
| . |
| Date available:
|
2009-01-29T15:38:49Z |
| Last updated:
|
2012-05-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120281 |
| . |
| Reference:
|
[1] R.P. Agarwal: 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] D. Barr, T. Sherman: 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] J. Bebernes: A sub-function aproach to boundary value problems for nonlinear ordinary differential equations.Pacif. J. Math. 13 (1963), 1063-1066. |
| Reference:
|
[4] G. Carristi: 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] K.M. Das, B.S. Lalli: Boundary value problems for y'' '=f(x,y,y',y'').J. Math. Anal. Appl, 81 (1981), 300-307. Zbl 0465.34012, MR 0622819 |
| Reference:
|
[6] R.E. Gaines J.L. Mawhin: Coincidence Degree and Nonlinear Differential Equations.Berlin-Heidelberg-New-York, Springer-Verlag, 1977, 262 p. MR 0637067 |
| Reference:
|
[7] C.P. Gupta: 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] G.H. Hardy J.E. Littlewood, G. Polya: Inequalities.(Russian trans.), IL, Moscow, 1970. |
| Reference:
|
[9] P. Hartman: Ordinary Differential Equations.(Russian trans.), Mir, Moscow, 1970, 720 p. Zbl 0214.09101, MR 0352574 |
| Reference:
|
[10] P. Hartman: 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] J. Henderson, L. Jackson: Existence and uniqueness of solutions of k-point boundary value problems for ordinary differential equations.J. Diff. Eqs. 48 (1970), 373-385. MR 0702426 |
| Reference:
|
[12] I.T. Kiguradze: On a singular problem of Cauchy-Nicoletti.Ann. Mat. Pura ed Appl., 104 (1975), 151-175. Zbl 0307.34003, MR 0402157 |
| Reference:
|
[13] I.T. Kiguradze: Some Singular Boundary Value Problems for Ordinary Differential Equations.(Russian), Univ. Press Tbilisi, 1975. MR 0499402 |
| Reference:
|
[14] I.T. Kiguradze: Boundary problems for systems of ordinary differential equations.(Russian), Itogi nauki i tech., Sovr. pr. mat., 30, Moscow 1987. |
| Reference:
|
[15] G. Klaasen: Existence theorems for boundary value problems for n-th order differential equations.Rocky Mtn. J. Math., 3 (1973), 457-472. MR 0357944 |
| Reference:
|
[16] E. Lepina, A. Lepin: 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] I. Rachůnková: On some three-point problems for third-order differential equations.Mathematica Bohemica 117 (1992), 98-110. MR 1154059 |
| Reference:
|
[18] M. Šenkyřík: On a third-order three-point regular boundary value problem.Acta UPO, Fac.rer.nat., Mathematica XXX, 1991. MR 1166427 |
| Reference:
|
[19] N.I. Vasiljev, J.A. Klokov: Elements of the Theory of Boundary Value Problems for Ordinary Differential Equations.(Russian), Zinatne, Riga 1978. |
| . |
