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Title: Constructions of lower and upper solutions for a nonlinear boundary value problem of the third order and their applications (English)
Author: Rusnák, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 40
Issue: 1
Year: 1990
Pages: 101-110
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Category: math
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MSC: 34B15
idZBL: Zbl 0731.34016
idMR: MR1094976
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Date available: 2009-09-25T10:23:00Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136502
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Reference: [1] GREGUŠ M.: Über das Randwertproblem der n-ten Ordnung in m-Punkten.Acta F. R. N. Univ. Comen. IX. 2. - Math. 1964, 49-55. Zbl 0133.34401, MR 0168834
Reference: [2] GREGUŠ. M.: Lineárna diferenciálna rovnica tretieho rádu.Veda, Vydavat. SAV, Bratislava, 1981, or Third Order Linear Differential Equations. D. Reidel Publishing Company. Dordrecht/Boston/Lancaster/Tokyo, 1987. Zbl 0488.34001, MR 0882545
Reference: [З] SCHMITT K.: A nonlinear boundary value problem.J. Diff. Equat. 7, 1970, 527-537. Zbl 0198.12301, MR 0254314
Reference: [4] BERNFELD J. R., LAKSHMIKANTHAM V.: An Introduction to Nonlinear Boundary Value Problems.Academic Press, Inc. New York and London, 1974. Zbl 0286.34018, MR 0445048
Reference: [5] ŠEDA V.: Two Remarks on Boundary Value Problems for Ordinary Differential Equations.J. Diff. Equat. 26, No. 2, 1977, 278-290 Zbl 0419.34014, MR 0460771
Reference: [6] ŠEDA V.: Antitone operators and ordinary differential equations.Czech. math. J. 31, 1981, 531-553. Zbl 0491.34022, MR 0631601
Reference: [7] RUSNÁK J.: A three-point boundary value problem for third order differential equations.Math. Slovaca 33, 1983, 307-320. Zbl 0526.34012, MR 0713954
Reference: [8] RUSNÁK J.: Existence theorems for a certain non-linear boundary value problem of the third order.Math. Slovaca, 37, 1987 351-356. MR 0916942
Reference: [9] ORUSNÁK J.: On certain non-linear boundary value problems of the third order.Práce a štúdie VŠDS, Žilina (to appear).
Reference: [10] RUSNÁK J.: Method of successive approximations for the second order nonlinear boundary value problem.Proc. 9-th Summer School Diff. Eq., Poprad 1986, 113-117 (Slovak).
Reference: [11] RUSNÁK J.: Method of successive approximations for a certain non-linear third order boundary value problem.Acta Univ. Palack. Olomucensis (to appear). Zbl 0707.34019, MR 1033337
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