Variational principles and variational—iterative principles for a class of problems
نویسندگان
چکیده
منابع مشابه
Variational principles: summary and problems
2.1 Differentiability and first order conditions If a function f : R → R has partial derivatives ∂if(x) = limt→0 t−1(f(x + tei) − f(x)) which exist and are continuous on R, it is a C1(R) function, and is differentiable at every x in the sense that f(x + h) − f(x) −∇f(x) · h = o(‖h‖) as h → 0. This means it can be approximated linearly, and the derivative is the linear map on R given by Df(x)(h)...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1981
ISSN: 0022-247X
DOI: 10.1016/0022-247x(81)90247-x