| Title:
|
Multipoint boundary value problems for discrete equations (English) |
| Author:
|
Drábek, Pavel |
| Author:
|
Thompson, H. Bevan |
| Author:
|
Tisdell, Christopher |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
459-468 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems. (English) |
| Keyword:
|
second order difference equations |
| Keyword:
|
discrete boundary value problems |
| Keyword:
|
multipoint boundary conditions |
| Keyword:
|
degree theory |
| Keyword:
|
nonlinear boundary conditions |
| MSC:
|
34B10 |
| MSC:
|
39A10 |
| MSC:
|
39A12 |
| idZBL:
|
Zbl 1055.39027 |
| idMR:
|
MR1859593 |
| . |
| Date available:
|
2009-01-08T19:11:37Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119260 |
| . |
| 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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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[11] Kelley W.G., Peterson A.C.: Difference Equations.Academic Press, Boston, 1991. Zbl 0970.39001, MR 1142573 |
| Reference:
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[12] Bernfeld S.R., Lakshmikantham V.: An Introduction to Nonlinear Boundary Value Problems.Academic Press, New York, 1974. MR 0445048 |
| Reference:
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[13] Lakshmikantham V., Trigiante D.: Theory of Difference Equations: Numerical Methods and Applications.Academic Press, Boston, 1988. Zbl 1014.39001, MR 0939611 |
| Reference:
|
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| Reference:
|
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| Reference:
|
[16] Thompson H.B., Tisdell C.: Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations.J. Math. Anal. Appl. 248 (2000), 333-347. Zbl 0963.65081, MR 1775855 |
| Reference:
|
[17] Wan Zhuang, Yubo Chen: Monotone Methods for a discrete boundary problem.Comput. Math. Appl. 32 (1996), 41-49. MR 1434605 |
| . |
