Nodal solutions for nonlinear eigenvalue problems. (English) Zbl 1059.34013

Summary: We are concerned with determining values of \(\lambda\), for which there exist nodal solutions of the boundary value problem \[ u''+ ra(t) f(u)= 0,\quad 0< t< 1,\quad u(0)= u(1)= 0. \] The proof of our main result is based upon bifurcation techniques.


34B15 Nonlinear boundary value problems for ordinary differential equations
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