Journal Name:
- Journal of Control Engineering and Technology
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Abstract (Original Language):
We consider a two-point nonlinear boundary value problem for the second order differential equation. The conditions are provided for existence of multiple solutions. First we show that a quasi-linear problem has a solution of definite type which corresponds to the type of the principal linear part. Multiple solutions are obtained by repeatedly reducing the original equation to quasi-linear ones and proving the appropriate estimates for solutions of modified problems.
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