Discrete and Continuous Boundary Problems (Enhanced Edition‪)‬

Discrete and continuous boundary problems. Our problems in the sequel belong to the field of linear analysis, in that the unknown functions or their derivatives appear only to the first power in the governing equations. They are also linear in a second sense, or perhaps sequential, in that the ”independent variable” ranges over some part of the real line, perhaps over a discrete series of values. When a physical interpretation is available, it will be in terms of entities ranged along a line, each of which interacts only with those in its immediate vicinity.