Some extremal problems of disconjugacy

摘要

It is considered Linear differential equation of the second order, where the coeffcients u_1(t), u_2(t) are measurable functions on (-infinity +infinity) and vector function. If the set P is the convex compuct then the estimate of the minimal distance between the adjacent zeroes of the nontrivial solution y(t) is obtained and the obtained results is used to find the unique solution of the boundary value problem.