کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
468822 698260 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generalizing the variational theory on time scales to include the delta indefinite integral
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Generalizing the variational theory on time scales to include the delta indefinite integral
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 9, May 2011, Pages 2424–2435
نویسندگان
, ,