Fundamental Theories and Their Applications of the Calculus of Variations

Preliminaries.- Variational Problems with Fixed Boundaries.- Sufficient Conditions of Extrema of Functionals.- Problems with Variable Boundaries.- Variational Problems of Conditional Extrema.- Variational Problems in Parametric Forms.- Variational Principles.- Methods of Variational Problems.- Variational Principles in Mechanics and Their Applications.- Variational Problems of Functionals with Vector, Tensor and Hamiltonian Operators.