Displaying similar documents to “On Some First Integrals Of Equations Of Motion”

Superintegrability and time-dependent integrals

Ondřej Kubů, Libor Šnobl (2019)

Archivum Mathematicum

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While looking for additional integrals of motion of several minimally superintegrable systems in static electric and magnetic fields, we have realized that in some cases Lie point symmetries of Euler-Lagrange equations imply existence of explicitly time-dependent integrals of motion through Noether’s theorem. These integrals can be combined to get an additional time-independent integral for some values of the parameters of the considered systems, thus implying maximal superintegrability....

Integrals of Frullani type and the method of brackets

Sergio Bravo, Ivan Gonzalez, Karen Kohl, Victor H. Moll (2017)

Open Mathematics

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The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.