Title
Multiplicity results for second-order two-point boundary value problems with nonlinearities across several eigenvalues
Abstract
We consider the boundary value problems for nonlinear second-order differential equations of the formu″+a(t)f(u)=0,0<t<1,u(0)=u(1)=0. We give conditions on the ratio f(s)/s at infinity and zero that guarantee the existence of solutions with prescribed nodal properties. Then we establish existence and multiplicity results for nodal solutions to the problem. The proofs of our main results are based upon bifurcation techniques.
Year
DOI
Venue
2005
10.1016/j.aml.2004.09.011
Applied Mathematics Letters
Keywords
Field
DocType
34B10,34G20
Boundary value problem,Differential equation,Nonlinear system,Ordinary differential equation,Mathematical analysis,Multiplicity (mathematics),Infinity,Eigenvalues and eigenvectors,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
18
5
0893-9659
Citations 
PageRank 
References 
5
1.08
1
Authors
2
Name
Order
Citations
PageRank
Ruyun Ma110038.34
Bevan Thompson2192.78