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 |
. |
Category:
|
math |
. |
MSC:
|
34B15 |
idZBL:
|
Zbl 0731.34016 |
idMR:
|
MR1094976 |
. |
Date available:
|
2009-09-25T10:23:00Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136502 |
. |
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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