Research Article
Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems
1 Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
2 College of Physical Education, Northwest Normal University, Lanzhou 730070, China
Boundary Value Problems 2010, 2010:570932 doi:10.1155/2010/570932
Published: 31 May 2010Abstract
We consider the fourth-order two-point boundary value problem 
, 
, 
, where 
is a parameter, 
is given constant, 
with 
on any subinterval of 
, 
satisfies 
for all 
, and 
, 
, 
for some 
. By using disconjugate operator theory and bifurcation techniques, we establish existence
and multiplicity results of nodal solutions for the above problem.
