By V. M. Filippov
This publication develops a variational procedure for fixing linear equations with $B$-symmetric and $B$-positive operators and generalizes the strategy to nonlinear equations with nonpotential operators. the writer consists of out a positive extension of the variational way to ``nonvariational'' equations (including parabolic equations) in sessions of functionals which fluctuate from the Euler-Lagrange functionals. during this connection, a few new capabilities areas are thought of. meant for mathematicians operating within the parts of practical research and differential equations, this booklet could additionally turn out beneficial for researchers in different parts and scholars in complex classes who use variational equipment in fixing linear and nonlinear boundary worth difficulties in continuum mechanics and theoretical physics.
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