On a class of functional boundary value problems for third-order functional differential equations with parameter

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1. A.R. Aftabizadeh, J. Wiener, Existence and uniqueness theorems for third order boundary value problems, Rend. Sem. Mat. Univ. Padova, 75, 1986, 130-141. (1986) Zbl0611.34005MR0847662
2. R.P. Agarwal, R.P. Krissnamurthy, On the uniqueness of solution of nonlinear boundary value problems, J. Math. Phys. Sci. 10, 1976, 17-31. (1976) MR0417478
3. R.P. Agarwal, On boundary value problems for y''' =f(x,y,y',y'´), Bull. of the Institut of Math. Acad. Sinica, 12, 1984, 153-157. (1984) MR0765109
4. J. Andres, On a boundary value problem for x'''=f(t,x,x',x''), Acta UPO, Fac. rer. nat., Vol.91, Math. XXVII, 1988, 289-298. (1988) Zbl0712.34032MR1039896
5. D. Barr, T. Sherman, Existence and uniqueness of solutions of three point boundary value problems, J. Diff. Eqs., 13, 1973, 197-212. (1973) Zbl0261.34014MR0333326
6. J. Bebernes, A sub-function approach to boundary value problems for nonlinear ordinary differential equations, Pacific J. Math. 13, 1963, 1063-1066. (1963) MR0156018
7. S.A. Bespalova, J.A. Klokov, A three-point boundary value problem for a third order nonlinear ordinary differential equations, (in Russian). Differenciaľnye Uravnenija, 12, 1976, 963-970. (1976) MR0425230
8. G. Carristi, A three-point boundary value problem for third order differential equation, Boll.Unione Mat. Ital., C4, 1, 1985, 259-269. (1985) 
9. K.M. Das, B.S. Lalli, Boundary value problems for y' ' ' = f(x,y,y' ,y' ' ), J. Math. Annal. Appl., 81, 1981, 300-307. (1981) Zbl0465.34012MR0622819
10. A. Granas R. Guenther, L. Lee, Nonlinear Boundary Value Problems for Ordinary Differential Equations, Polish Acad. of Sciences, 1985. (1985) 
11. M. Greguš, Third Order Linear Differential Equtation, Veda 1981 (Slovak), Bratislava. (1981) MR0657356
12. C.P. Gupta, On a third-order three-point boundary value problem at rezonance, Diff. Int. Equations, Vol.2, 1 (1989),1-12. (1989) MR0960009
13. 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) MR0702426
14. J. Henderson, Best interval lengths for boundary value problems for third order Lipschitz equations, SIAM J. Math. Anal.,18, 1987, 293-305. (1987) Zbl0668.34017MR0876272
15. L. Jackson, K. Schrader, Subfunctions and third order differential inequalities, J. Diff. Eqs., 8, 1970, 180-194. (1970) Zbl0194.40902MR0257525
16. L. Jackson, K. Schrader, Existence and uniqueness of solution of boundary value problems for third order differential equations, J. Diff. Eqs., 9, 1971, 46-54. (1971) MR0269920
17. L. Jackson, Existence and uniqueness of solutions of boundary value problems for third order differential equations, J. Diff. Eqs., 13, 1973, 432-437. (1973) Zbl0256.34018MR0335925
18. I.T. Kiguradze, Boundary Problems for Systems of Ordinary Differential Equations, (in Russian). Itogi nauki i tech..Sovr. problemy mat., 30, Moscow 1987. (1987) MR0925829
19. G.A. Klassen, Differential inequalities and existence theorems for second and third order boundary value problems, J. Diff. Eqs., 10, 1971, 529-537. (1971) MR0288397
20. G.A. Klassen, Existence theorems for boundary value problems for n-th order ordinary differential equation, Rocky Mountain J. Math., 3, 1973, 457-472. (1973) MR0357944
21. E. Lepina, A. Lepin, Existence of a solution of the three-point BVP for a non-linear third order ordinary differential equation, (in Russian). Latv. Mat. Ezheg., 4, 1968, 247-256. (1968) 
22. 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, (in Russian). Latv. Mat. Ezheg., 8, 1970, 149-154. (1970) 
23. K.N. Murthy, K.S. Rao, On existence and uniqueness of solutions of two and three point boundary value problems, Bull.Calcutta Math. Soc., 73, 3 (1981), 165-172. (1981) MR0669619
24. K.N. Murthy, C.N. Prasad, Three-point boundary value problems, existence and uniqueness, Yokohama Math. J., 29, 1981, 101-105. (1981) MR0649612
25. B.G. Pachpatte, On a certain boundary value problem for third order differential equations, An. Sti.Univ. "Al.I.Cuza" Iasi Sect. Ia Mat, XXXXII, 1, 1986, 55-61. (1986) Zbl0619.34024MR0893027
26. L.I. Pospelov, Necessary and sufficient conditions for existence of a solutions for some BVPs for the third order nonlinear ordinary differential equation, (in Russian). Latv. Math. Ezheg., 8, 1970, 205-213. (1970) 
27. D.J. O’Regan, Topological transversality. Applications to third order boundary value problems, SIAM J. Math. Anal., 18, 1987, 630-641. (1987) MR0883557
28. J. Rusnák, A three-point boundary value problem for third order differential equations, Math. Slovaca, 33, 1983, 247-256. (1983) MR0713954
29. J. Rusnák, Method of successive approximations for certain non-linearthird order boundary value problem, Acta UPO, Fac. rer. nat., Math. XXVI, 88, 1987, 161-168. (1987) MR1033337
30. J. Rusnák, Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications, Math. Slovaca, 40, No.1, 1990, 101-110. (1990) MR1094976
31. S. Staněk, Three-point boundary value problem for nonlinear third-order differential equations with parameter, Acta UPO, Fac. rer. nat., Math. XXX, (1991) 61-74. (1991) MR1166426
32. S. Staněk, Three point boundary value problem for nonlinear second-order differential equations with parameter, Czech.Math. J. 42 (117), 1992, 241-256. (1992) MR1179496
33. S. Staněk, On a class of five-point boundary value problems in second-order functional differential equations with parameter, (to appear). MR1250906
34. N.I. Vasilev, J.A. Klokov, Elements of the Theory of Boundary Value Problems for Ordinary Differential Equations, (in Russian). Riga 1978. (1978)