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Bifurcation from interval and positive solutions for second order periodic boundary value problems. (English) Zbl 1218.34026
The authors give a detailed description of the branches of positive solutions \((u,\lambda)\) of the periodic boundary value problem
\[ u''-q(t)u+\lambda a(t)f(u)=0,\quad 0<t<2\pi,\quad u(0)=u(2\pi),\quad u'(0)=u'(2\pi). \]
To obtain their results, they use topological degree theory and global bifurcation techniques.

MSC:
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
34B09 Boundary eigenvalue problems for ordinary differential equations
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