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Invariants of first order partial differential equations

open access: yesBoletim da Sociedade Paranaense de Matemática, 2018
In this paper we introduce the concepts of multiplicity and index of first order partial differential equations. In particular, the concept of multiplicity coincides with the multiplicity of implicit differential equations given by Bruce and Tari in [2]. We also show that these concepts are invariants by smooth equivalences.
openaire   +4 more sources

Research of Compatibility of the Redefined System for the Multidimensional Nonlinear Heat Equation (Special Case)

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
In paper the multidimensional equation of nonlinear heat conductivity is investigated. This equation is presented in the form of the overdetermined system of the differential equations with partial derivatives (the number of the equations are more than ...
G. Rudykh, E. Semenov
doaj  

First-order partial differential equations and consumer theory

open access: hybrid, 2018
Yuhki Hosoya   +1 more
openalex   +2 more sources

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