Abstract
The major obstacle for the application of the Lie’s infinitesimal techniques to the integro-differential equations or infinite systems of differential equations is that the frames of these equations are not locally defined in the space of differential functions. In consequence, the crucial idea of the splitting determining equations into the over-determined systems, commonly used in the classical Lie group analysis, fails.
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(2009). Symmetries of Integro-Differential Equations. In: Approximate and Renormgroup Symmetries. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00228-1_3
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