In this paper, a new classification of Sturm—Liouville differential equations with complex coefficients is given. Compared with the corresponding result of Brown et al., this classification reveals ...

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

We provide a new analytical approach to operator splitting for equations of the type u t = Au + uu x where A is a linear differential operator such that the equation is well-posed. Particular examples ...