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Unification of calculus on Time Scales with mathematica

✍ Scribed by Ünal Ufuktepe; Sinan Kapçak

Book ID
113439512
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
217 KB
Volume
218
Category
Article
ISSN
0096-3003

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📜 SIMILAR VOLUMES

Calculus of variations on time scales wi
Calculus of variations on time scales with nabla derivatives
✍ Natália Martins; Delfim F.M. Torres 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 327 KB

We prove a necessary optimality condition of the Euler-Lagrange type for variational problems on time scales involving nabla derivatives of higher order. The proof is done using a new and more general fundamental lemma of the calculus of variations on time scales.

Double integral calculus of variations o
Double integral calculus of variations on time scales
✍ Martin Bohner; Gusein Sh. Guseinov 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 286 KB

We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among