Method of lower and upper solutions for a third-order three-point regular boundary value problem
Šenkyřík, Martin
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 31 (1992), p. 60-70 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1992-01-01
Classification:  34B10,  34B15 
@article{120281,
     author = {Martin \v Senky\v r\'\i k},
     title = {Method of lower and upper solutions for a third-order three-point regular boundary value problem},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     volume = {31},
     year = {1992},
     pages = {60-70},
     zbl = {0769.34021},
     mrnumber = {1212606},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120281}
}

Šenkyřík, Martin. Method of lower and upper solutions for a third-order three-point regular boundary value problem. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 31 (1992) pp. 60-70. http://gdmltest.u-ga.fr/item/120281/

R.P. Agarwal On boundary value problems y'''=f(x,y,y',y''), Bull. of the Institute of Math. Sinica, 12 (1984), 153-157. (1984) | MR 0765109

D. Barr; T. Sherman Existence and uniqueness of solutions of three-point boundary value problems, J. Diff. Eqs.13 (1973), 197-212. (1973) | MR 0333326 | Zbl 0261.34014

J. Bebernes A sub-function aproach to boundary value problems for nonlinear ordinary differential equations, Pacif. J. Math. 13 (1963), 1063-1066. (1963)

G. Carristi A three-point boundary value problem for a third order differential equation, Boll. Unione Mat. Ital., C4, 1 (1985), 259-269. (1985) | MR 0805218

K.M. Das; B.S. Lalli Boundary value problems for y'' '=f(x,y,y',y''), J. Math. Anal. Appl, 81 (1981), 300-307. (1981) | MR 0622819 | Zbl 0465.34012

R.E. Gaines J.L. Mawhin Coincidence Degree and Nonlinear Differential Equations, Berlin-Heidelberg-New-York, Springer-Verlag, 1977, 262 p. (1977) | MR 0637067

C.P. Gupta On a third-order three-point boundary value problem at resonance, Diff. Int. Equations, Vol 2, 1 (1989), 1-12. (1989) | MR 0960009 | Zbl 0722.34014

G.H. Hardy J.E. Littlewood; G. Polya Inequalities, (Russian trans.), IL, Moscow, 1970. (1970)

P. Hartman Ordinary Differential Equations, (Russian trans.), Mir, Moscow, 1970, 720 p. (1970) | MR 0352574 | Zbl 0214.09101

P. Hartman On n-parameter families and interpolation problems for nonlinear ordinary differential equations, Trans. Amer. Math. Soc. 154 (1971), 201-266. (1971) | MR 0301277 | Zbl 0222.34017

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. (1970) | MR 0702426

I.T. Kiguradze On a singular problem of Cauchy-Nicoletti, Ann. Mat. Pura ed Appl., 104 (1975), 151-175. (1975) | MR 0402157 | Zbl 0307.34003

I.T. Kiguradze Some Singular Boundary Value Problems for Ordinary Differential Equations, (Russian), Univ. Press Tbilisi, 1975. (1975) | MR 0499402

I.T. Kiguradze Boundary problems for systems of ordinary differential equations, (Russian), Itogi nauki i tech., Sovr. pr. mat., 30, Moscow 1987. (1987)

G. Klaasen Existence theorems for boundary value problems for n-th order differential equations, Rocky Mtn. J. Math., 3 (1973), 457-472. (1973) | MR 0357944

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. (1970)

I. Rachůnková On some three-point problems for third-order differential equations, Mathematica Bohemica 117 (1992), 98-110. (1992) | MR 1154059

M. Šenkyřík On a third-order three-point regular boundary value problem, Acta UPO, Fac.rer.nat., Mathematica XXX, 1991. (1991) | MR 1166427

N.I. Vasiljev; J.A. Klokov Elements of the Theory of Boundary Value Problems for Ordinary Differential Equations, (Russian), Zinatne, Riga 1978. (1978)