A general class of evolutionary equations

  • J. K. Hale

Abstract

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.
Published
25.02.2007
How to Cite
Hale, J. K. “A General Class of Evolutionary Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 2, Feb. 2007, pp. 268–288, http://umj.imath.kiev.ua/index.php/umj/article/view/3307.
Section
Research articles