STUDY OF SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR ONE SINGULAR DIFFERENTIAL EQUATION

A. V. Kungurtseva, I. A. Kolesnikov

Abstract


In this paper, the abstract theory of functional-differential equations is applied to some singular second-order differential equation, which is a generalization of equations encountered in the theory of chemical reactions. The result is based on the properties of the Green's operator of the corresponding linear problem.

Keywords


functional differential equations; quasilinear boundary value problems; linear equation; singular equation; unique solvability; well-defined solvability; finite-dimensional parametrizability; Green's operator.

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