This monograph contains a description of original methods and results concern ing global properties of linear differential equations of the nth order, n 2, in the real domain. This area of research concerning second order linear differential equations was started 35 years ago by O. Boruvka. He summarized his results in the monograph "Lineare Differentialtransforrnationen 2. Ordnung," VEB, Berlin 1967 (extended version: "Linear Differential Transformations of the Second Order," The English U niv. Press, London 1971). This book deals with linear differential equations of the nth order, n 2, and...