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Global Bifurcation of Periodic Solutions to Second Order Ordinary Differential Equations

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Abstract:

We are concerned with determining values of r, for which there exist nodal solutions of the periodic boundary value problem
{u''+r f(u)=0,
u(0)-u(2π)=u'(0)-u'(2π)=0.
The proof of our main result is based upon global bifurcation techniques.

Key words: Periodic boundary value problem, Eigenvalues, Multiplicity results, Bifurcation, Nodal zeros

MA Ru-Yun, GAO Cheng-Hua. Global Bifurcation of Periodic Solutions to Second Order Ordinary Differential Equations[J].Acta mathematica scientia,Series A, 2009, 29(5): 1223-1232.

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