Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value Problems
<p>Abstract</p> <p>We consider the nonlinear eigenvalue problems <inline-formula> <graphic file="1687-2770-2008-254593-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i3.gif"/></inline-formula>...
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doaj-ff5a32ca8e164eb4911bfd01572bd57a2020-11-24T21:51:47ZengSpringerOpenBoundary Value Problems1687-27621687-27702008-01-0120081254593Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value ProblemsAn YulianMa Ruyun<p>Abstract</p> <p>We consider the nonlinear eigenvalue problems <inline-formula> <graphic file="1687-2770-2008-254593-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i4.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i5.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2008-254593-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i7.gif"/></inline-formula>, and <inline-formula> <graphic file="1687-2770-2008-254593-i8.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2008-254593-i9.gif"/></inline-formula>, with <inline-formula> <graphic file="1687-2770-2008-254593-i10.gif"/></inline-formula>; <inline-formula> <graphic file="1687-2770-2008-254593-i11.gif"/></inline-formula>; <inline-formula> <graphic file="1687-2770-2008-254593-i12.gif"/></inline-formula>. There exist two constants <inline-formula> <graphic file="1687-2770-2008-254593-i13.gif"/></inline-formula> such that <inline-formula> <graphic file="1687-2770-2008-254593-i14.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2008-254593-i15.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i16.gif"/></inline-formula>. Using the global bifurcation techniques, we study the global behavior of the components of nodal solutions of the above problems.</p>http://www.boundaryvalueproblems.com/content/2008/254593 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
An Yulian Ma Ruyun |
spellingShingle |
An Yulian Ma Ruyun Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value Problems Boundary Value Problems |
author_facet |
An Yulian Ma Ruyun |
author_sort |
An Yulian |
title |
Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value Problems |
title_short |
Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value Problems |
title_full |
Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value Problems |
title_fullStr |
Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value Problems |
title_full_unstemmed |
Global Behavior of the Components for the Second Order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-Point Boundary Value Problems |
title_sort |
global behavior of the components for the second order <inline-formula> <graphic file="1687-2770-2008-254593-i1.gif"/></inline-formula>-point boundary value problems |
publisher |
SpringerOpen |
series |
Boundary Value Problems |
issn |
1687-2762 1687-2770 |
publishDate |
2008-01-01 |
description |
<p>Abstract</p> <p>We consider the nonlinear eigenvalue problems <inline-formula> <graphic file="1687-2770-2008-254593-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i4.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i5.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2008-254593-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i7.gif"/></inline-formula>, and <inline-formula> <graphic file="1687-2770-2008-254593-i8.gif"/></inline-formula> for <inline-formula> <graphic file="1687-2770-2008-254593-i9.gif"/></inline-formula>, with <inline-formula> <graphic file="1687-2770-2008-254593-i10.gif"/></inline-formula>; <inline-formula> <graphic file="1687-2770-2008-254593-i11.gif"/></inline-formula>; <inline-formula> <graphic file="1687-2770-2008-254593-i12.gif"/></inline-formula>. There exist two constants <inline-formula> <graphic file="1687-2770-2008-254593-i13.gif"/></inline-formula> such that <inline-formula> <graphic file="1687-2770-2008-254593-i14.gif"/></inline-formula> and <inline-formula> <graphic file="1687-2770-2008-254593-i15.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-254593-i16.gif"/></inline-formula>. Using the global bifurcation techniques, we study the global behavior of the components of nodal solutions of the above problems.</p> |
url |
http://www.boundaryvalueproblems.com/content/2008/254593 |
work_keys_str_mv |
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