| Title:
             | 
On a class of functional boundary value problems for third-order functional differential equations with parameter (English) | 
| Author:
             | 
Staněk, Svatoslav | 
| Language:
             | 
English | 
| Journal:
             | 
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica | 
| ISSN:
             | 
0231-9721 | 
| Volume:
             | 
31 | 
| Issue:
             | 
1 | 
| Year:
             | 
1992 | 
| Pages:
             | 
71-82 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
34B15 | 
| MSC:
             | 
34K10 | 
| idZBL:
             | 
Zbl 0777.34047 | 
| idMR:
             | 
MR1212607 | 
| . | 
| Date available:
             | 
2009-01-29T15:38:52Z | 
| Last updated:
             | 
2012-05-03 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/120282 | 
| . | 
| Reference:
             | 
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| Reference:
             | 
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[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. Zbl 0465.34012, MR 0622819 | 
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[12] C.P. Gupta: On a third-order three-point boundary value problem at  rezonance.Diff. Int. Equations, Vol.2, 1 (1989),1-12. MR 0960009 | 
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[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. MR 0702426 | 
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[14] J. Henderson: Best interval  lengths for boundary value problems for third order Lipschitz equations.SIAM J. Math. Anal.,18, 1987, 293-305. Zbl 0668.34017, MR 0876272 | 
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[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. MR 0269920 | 
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[17] L. Jackson: Existence and uniqueness of solutions of boundary value problems  for third order differential equations.J. Diff. Eqs., 13, 1973, 432-437. Zbl 0256.34018, MR 0335925 | 
| Reference:
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[18] I.T. Kiguradze: Boundary Problems for Systems of Ordinary Differential  Equations.(in Russian). Itogi nauki i tech..Sovr. problemy mat., 30, Moscow 1987. MR 0925829 | 
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[19] G.A. Klassen: Differential inequalities and existence theorems for second and  third order boundary value problems.J. Diff. Eqs., 10, 1971, 529-537. MR 0288397 | 
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[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. MR 0357944 | 
| Reference:
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[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. | 
| Reference:
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[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. | 
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[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. MR 0669619 | 
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[24] K.N. Murthy, C.N. Prasad: Three-point boundary value problems,   existence and uniqueness.Yokohama Math. J., 29, 1981, 101-105. MR 0649612 | 
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[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. Zbl 0619.34024, MR 0893027 | 
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[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. | 
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[27] D.J. O’Regan: Topological transversality. Applications to third order boundary value problems.SIAM J. Math. Anal., 18, 1987, 630-641. MR 0883557 | 
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[28] J. Rusnák: A three-point boundary value problem for third order differential  equations.Math. Slovaca, 33, 1983, 247-256. MR 0713954 | 
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[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. MR 1033337 | 
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[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. MR 1094976 | 
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[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. MR 1166426 | 
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[32] S. Staněk: Three point boundary value problem for nonlinear second-order differential equations with parameter.Czech.Math. J. 42 (117), 1992, 241-256. MR 1179496 | 
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[33] S. Staněk: On a class of five-point boundary value problems in second-order functional differential equations with parameter.(to appear). MR 1250906 | 
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