Dynamic Systems and Applications 13 (2004) 339-349 CALCULUS OF VARIATIONS ON TIME SCALES
نویسنده
چکیده
We introduce a version of the calculus of variations on time scales, which includes as special cases the classical calculus of variations and the discrete calculus of variations. Necessary conditions for weak local minima are established, among them the Euler condition, the Legendre condition, the strengthened Legendre condition, and the Jacobi condition. AMS (MOS) Subject Classification. 39A10.
منابع مشابه
Dynamic Systems and Applications 13 (2004) 351-379 PARTIAL DIFFERENTIATION ON TIME SCALES
In this paper a differential calculus for multivariable functions on time scales is presented. Such a calculus can be used to develop a theory of partial dynamic equations on time scales in order to unify and extend the usual partial differential and partial difference equations. AMS (MOS) Subject Classification. 26B05, 39A10, 26B10.
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