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Nodal solutions of multi-point boundary value problems |
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| Authors: | Lingju Kong James SW Wong |
| Institution: | a Department of Mathematics, the University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA b Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA c The University of Hong Kong, City University of Hong Kong, and Chinney Investment Ltd., Hong Kong |
| Abstract: | We study the nonlinear boundary value problem consisting of the equation y″+w(t)f(y)=0 on a,b] and a multi-point boundary condition. By relating it to the eigenvalues of a linear Sturm-Liouville problem with a two-point separated boundary condition, we obtain results on the existence and nonexistence of nodal solutions of this problem. We also discuss the changes in the existence question for different types of nodal solutions as the problem changes. |
| Keywords: | primary 34B10 secondary 34B15 |
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