A general class of evolutionary equations
Using observable quantities and state variable of a dynamical process, a general evolutionary equation is defined which unifies classical ordinary differential equations, partial differential equations, and hereditary systems of retarded and neutral type. Specific illustrations are given using transmission lines nearest-neighbor coupled at the boundary and the theory of heat transfer in solids. Some spectral theory for linearization of the equations is also discussed.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 2, pp 293-314.
Citation Example: Hale J. K. A general class of evolutionary equations // Ukr. Mat. Zh. - 2007. - 59, № 2. - pp. 268–288.