International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 2, Pages 315-318
doi:10.1155/S0161171288000377

A variational principle for complex boundary value problems

Abstract

This paper provides a variational formalism for boundary value problems which arise in certain feilds of research such as that of electricity, where the associated boundary conditions contain complex periodic conditions. A functional is provided which embodies the boundary conditions of the problem and hence the expansion (trial) functions need not satisfy any of them.