Third-order boundary-value problem with nonlinear boundary conditions. (English) Zbl 0841.34022

The number of solutions to the problem \(y'''= f(t, y, y', y'')\), \(y(0)= A\), \(y''(0)= \sigma(y'(0))\), \(y'(T)= \tau(y(T))\) is estimated from below by means of the number of zeros of the solution to the corresponding variational problem.


34B15 Nonlinear boundary value problems for ordinary differential equations
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