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 ...

Science Progress (1933-), Vol. 104, No. 4 (2021), pp. 1-26 (26 pages) Singularity is one of the important features in invariant structures in several physical phenomena reflected often in the ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

Ordinary differential equations; Sturm-Liouville theory, properties of special functions, solution methods including Laplace transforms. Fourier series: eigenvalue problems and expansions in ...

Mathematical thinking is playing an increasingly dominant role in experimental design, data analysis, and the conceptual understanding of Life. Through reading a diversity of papers at the interface ...