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      Necessary condition for an Euler-Lagrange equation on time scales

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          Abstract

          We prove a necessary condition for a dynamic integro-differential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given.

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          • Record: found
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          Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus

          Stefan Hilger (1990)
          Article 0 comments Cited 182 times – based on 0 reviews     Review now
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            Dynamic Equations on Time Scales

            Martin Bohner, Allan Peterson (2001)
            Book 0 comments Cited 158 times – based on 0 reviews
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              Advances in Dynamic Equations on Time Scales

              Martin Bohner, Allan Peterson (2003)
              Book 0 comments Cited 81 times – based on 0 reviews
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                Author and article information

                Journal
                Publication date Created: 2014-03-13
                Article
                DOI: 10.1155/2014/631281
                ArXiV ID: 1403.3252
                SO-VID: 7a9357f2-0f11-4936-ac55-15708d64a515
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                ACM classes 34N05, 49K05, 49N45
                Journal reference Abstr. Appl. Anal. 2014 (2014), Art. ID 631281, 7 pp
                Comments This is a preprint of a paper whose final and definite form is: Abstract and Applied Analysis 2014, Article ID 631281, http://dx.doi.org/10.1155/2014/631281
                Categories math.OC

                ScienceOpen disciplines: Numerical methods
                Data availability:
                ScienceOpen disciplines: Numerical methods

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