Nondifferentiable variational principles in terms of a quantum operator

作者：Almeida Ricardo; Torres Delfim F M^*

来源：Mathematical Methods in the Applied Sciences, 2011, 34(18): 2231-2241.

DOI：10.1002/mma.1523

• Holder functions
• quantum calculus
• calculus of variations
• Green's theorem

We develop Cresson's nondifferentiable calculus of variations on the space of Holder functions. Several quantum variational problems are considered: with and without constraints, with one and more than one independent variable, of first and higher-order type.

• 出版日期2011-12