ON THE LAVREMNTIEV PHENOMENON AND THE VALIDITY OF EULER-LAGRANGE EQUATIONS FOR A CLASS OF INTEGRAL FUNCTIONALS

[摘要] We study the functional J(x) = integral-b/a f(t, x(t), x'(t)) dt and provide conditions on the integrand f excluding the Lavrentiev Phenomenon and ensuring the validity of Euler-Lagrange Equations. (C) 1994 Academic Press, Inc,

[发布日期] 1994-05-15