Partial differential equations on time scales

Authors:
Calvin D. Ahlbrandt;Christina Morian
Affiliations:
Department of Mathematics, University of Missouri, Columbia, MO;Department of Agriculture, Natural Sciences & Mathematics, Lincoln University, Jefferson City, MO
Venue:
Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Year:
2002

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Abstract

Discrete and continuous formulations of partial differential operators are unified by a time scale formulation of partial differential operators. Results include an Euler-Lagrange equation for double integral variational problems on time scales and a Picone identity which implies a Sturm-Picone comparison theorem for second-order elliptic PDEs on time scales.