Approximate Solutions of Nonsmooth Systems via Generalized Euler-Lagrange and Hamiltonian Equations

S. Soradi Zeid; M. Yousefi; A. Vahidian Kamyad

doi:10.9734/AIR/2016/27621

Research Article Open access CC BY 4.0

Approximate Solutions of Nonsmooth Systems via Generalized Euler-Lagrange and Hamiltonian Equations

S. Soradi Zeid, M. Yousefi, A. Vahidian Kamyad

Advances in Research · pp. 1–12 · Published 9 Jul 2016

10.9734/AIR/2016/27621

Abstract

Recently the traditional calculus of variations has been extended to be applicable for systems containing nonsmooth function. In this paper, we have investigated the generalized derivative of nonsmooth functions. The obtained results were applied to investigate the generalized Euler- Lagrange and Hamilton equations for constrained system. The approach was applied within an illustrative.

Generalized Derivative calculus of variations Euler-Lagrange equation Hamilton equation

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S. Soradi Zeid, M. Yousefi, A. Vahidian Kamyad (2016). Approximate Solutions of Nonsmooth Systems via Generalized Euler-Lagrange and Hamiltonian Equations. Advances in Research , 1–12. https://doi.org/10.9734/AIR/2016/27621

Affiliations

S. Soradi Zeid — Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran and Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
M. Yousefi — National Iranian Oil Products Distribution Company (NIOPDC), Zahedan Region, Zahedan, Iran
A. Vahidian Kamyad — Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

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