Title:
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The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method (English) |
Author:
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Somora, Peter |
Language:
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English |
Journal:
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Mathematica Slovaca |
ISSN:
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0139-9918 |
Volume:
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57 |
Issue:
|
2 |
Year:
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2007 |
Pages:
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[141]-156 |
. |
Category:
|
math |
. |
MSC:
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34B15 |
idZBL:
|
Zbl 1150.34004 |
idMR:
|
MR2357813 |
. |
Date available:
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2009-09-25T14:37:06Z |
Last updated:
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2012-08-01 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/136943 |
. |
Reference:
|
[DS] DINCA G.-SANCHEZ L.: Multiple solutions of boundary value problems: an elementary approach via the shooting method.Preprint, 1992. MR 1273348 |
Reference:
|
[GS] GERA M.-SADYRBAEV F.: Multiple solutions of a third order boundary value problem.Math. Slovaca 42 (1992), 173-180 Zbl 0755.34017, MR 1170101 |
Reference:
|
[Sad] SADYRBAEV F.: Zamechanje o metodach otsenok chisla reshenij kraevykh zadach dlja obyknovennykh differentsialnykh uravnenij.Mat. Zametki 57 (1995), 54-55. (Russian) MR 1362233 |
Reference:
|
[BSW] BAILEY P. B.-SHAMPINE L. F.-WALTMAN P. E.: Nonlinear Two Point Boundary Value Problems.Academic Press Inc, New York and London, 1968. Zbl 0169.10502, MR 0230967 |
Reference:
|
[BL] BERNFELD S. R.-LAKSHMIKANTHAM V.: An Introduction to Nonlinear Boundary Value Problems.Academic Press Inc, New York-London, 1974. Zbl 0286.34018, MR 0445048 |
Reference:
|
[FK] FUČÍK S.-KUFNER A.: Nonlinear Differential Equations.Elsevier, Amsterdam-Oxford-New York, 1980. Zbl 0426.35001, MR 0558764 |
Reference:
|
[GSS] GREGUŠ M.-ŠEDA V.-ŠVEC M.: Ordinary differential equations.Alfa, Bratislava, 1985. (Slovak) |
Reference:
|
[Ka] KAMKE E.: Spravochnik po obyknovennym differentsialnym uravneniyam.Nauka, Moskva, 1961. (Russian) MR 0414970 |
Reference:
|
[Kг] KRASNOSEISKIJ M.A.-PETROV A.I.-POVOLOCKII A.I.-ZABREIKO P.P.: Plane Vector Fields.Academic Press, New York, 1966. MR 0206922 |
Reference:
|
[San1] SANSONE G.: Obyknovennye differentsialnye uravneniya I.Izd. Inostr. Lit., Moskva, 1953. (Russian) |
Reference:
|
[San2] SANSONE G.: Obyknovennye differentsialnye uravneniya II.Izd. Inosti. Lit , Moskva, 1954. (Russian) |
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