The Series Expansion of the Greens Function of a Differential Operator with Block-triangular Operator Potential
Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 8 Nov 2016
10.9734/BJMCS/2016/29890Abstract
Aims/ objectives: In this paper we consider the Sturm-Liouville equation with block-triangular, increasing at infinity operator potential. For him, built a fundamental system of solutions, one of which is decreasing at infinity, and the second is growing. We present asymptotics these solutions. Using the decreasing at infinity of the solutions initial equation and the left equation of the corresponding him, for non-self-adjoint operator generated by such differential expression obtained by series expansion of the Green's function.
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