## 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.

### MSC:

 34B15 Nonlinear boundary value problems for ordinary differential equations
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### References:

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