MATHEMATICAL BASIS OF EXTREMAL THEORY OF DIMENSIONS
The paper offers the full theoretical basis of “extremal theory of dimensions”. This simple theory, using only the notion “singular extremum” on the set of dimensional physical parameters, permits to find unknown laws of nature and very complex differential equations including many arbitrary additive terms. Note that almost all known equations of physics and their some generalizations already were found in the framework of this theory.
differential equations, extremal theory of dimensions.
Received: January 9, 2022; Accepted: February 16, 2022; Published: April 6, 2022
How to cite this article: Smol’yakov Eduard Rimovich, Mathematical basis of extremal theory of dimensions, Advances in Differential Equations and Control Processes 27 (2022), 85-95. http://dx.doi.org/10.17654/0974324322014
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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