کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
468822 | 698260 | 2011 | 12 صفحه PDF | دانلود رایگان |

We prove necessary optimality conditions of Euler–Lagrange type for generalized problems of the calculus of variations on time scales with a Lagrangian depending not only on the independent variable, an unknown function and its delta derivative, but also on a delta indefinite integral that depends on the unknown function. Such kinds of variational problems were considered by Euler himself and have been recently investigated in [J. Gregory, Generalizing variational theory to include the indefinite integral, higher derivatives, and a variety of means as cost variables, Methods Appl. Anal. 15 (4) (2008) 427–435]. Our results not only provide a generalization to previous results, but also give some other interesting optimality conditions as special cases.
Journal: Computers & Mathematics with Applications - Volume 61, Issue 9, May 2011, Pages 2424–2435