Differential equations

Fredholm property of a boundary problem for differential equation of special form

D. O. Degtyarev, S. V. Repjevskij

Chelyabinsk State University

Abstract: This article concerns the second-order differential equation with the zero coefficient of the first derivative and with the coefficient of a special type of the unknown function. Certain conditions are indicated on which the solution of the given equation exists and is unique across the interval of the real line, when the right-hand member is whatever and continuous, and the values of the unknown function are arbitrary and given.

Keywords: second-order differential equation, boundary value problem, Fredholm alternative.