Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems

被引:0
作者
Jia Xu
XiaoLing Han
机构
[1] Northwest Normal University,Department of Mathematics
[2] Northwest Normal University,College of Physical Education
来源
Boundary Value Problems | / 2010卷
关键词
Ordinary Differential Equation; Eigenvalue Problem; Fixed Point Theorem; Positive Eigenvalue; Elastic Beam;
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摘要
We consider the fourth-order two-point boundary value problem [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a parameter, [inline-graphic not available: see fulltext] is given constant, [inline-graphic not available: see fulltext] with [inline-graphic not available: see fulltext] on any subinterval of [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] satisfies [inline-graphic not available: see fulltext] for all [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] for some [inline-graphic not available: see fulltext]. By using disconjugate operator theory and bifurcation techniques, we establish existence and multiplicity results of nodal solutions for the above problem.
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