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Publication
Zeitschrift für angewandte Mathematik und Physik ZAMP
Paper
The variational method of Djukic and Vujanovic and its relation to classical variational methods
Abstract
The variational methods are classified into different types according to their Lagrangians, namely, classical-, limit-, adjoint- restricted- and Djukic, Vujanovic (DV)-Lagrangians. For some types, the existence of a Lagrangian to a given equation is discussed and examples are listed. Rules for a general application of the DV-method are presented and the equivalence of the DV-method to other variational methods is shown. This guarantees the identity of the corresponding Euler-Lagrange equations and their (exact) solutions. In special cases, even the approximate variational solutions become identical. © 1976 Birkhäuser-Verlag.