4.27 Variation Calculus
Condition: Find the permissible extreme functionality: \ [\ int _ {-1}^{1} \ left (\ dot {x} {2} +4 x^{2} \ right) d t \ rightarrow \ OperatorName {Extr}, x (-1) =-1, x (1) = 1 \]
The Calculus of Varis is a Branch of Analysis that Studies Extremal Properties of Functionals. Here You Can Find Optimal Control Problems - Including Finding The Extema of Functionals.