A general backwards calculus of variations via duality

被引：0
|
作者：
Agnieszka B. Malinowska
Delfim F. M. Torres
机构：
[1] Białystok University of Technology,Faculty of Computer Science
[2] University of Aveiro,Department of Mathematics
来源：
Optimization Letters | 2011年 / 5卷
关键词：
Calculus of variations; Composition of functionals; Euler–Lagrange equations; Natural boundary conditions; Time scales; Duality;
D O I：
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中图分类号：
学科分类号：
摘要：
We prove Euler–Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an arbitrary time scale. As an application, we get optimality conditions for the product and the quotient of nabla variational functionals.
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页码：587 / 599
页数：12
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