A special technique based on the analysis of oscillatory behaviour of linear equations is applied to investigation of a nonlinear boundary value problem of sixth order. We get the estimation of the number of solutions to boundary value problems of the type x(6) = f (t, x), x (a) = A, x′ (a) = A1, x″ (a) = A2, x′″ (a) = A3, x (b) = B, x′ (b) = B1 , where f is continuous together with the partial derivative f ′x which is supposed to be positive. We assume also that at least one solution of the problem under consideration exists.
Garbuza, T. (2008). On solutions of one 6‐th order nonlinear boundary value problem. Mathematical Modelling and Analysis, 13(3), 349-355. https://doi.org/10.3846/1392-6292.2008.13.349-355
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