Invariants of first order partial differential equations | Zendy

Lizandro Sanchez Challapa | Zendy

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Invariants of first order partial differential equations

Author(s) -

Lizandro Sanchez Challapa

Publication year - 2018

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v38i2.34388

Subject(s) - multiplicity (mathematics) , mathematics , differential equation , partial differential equation , pure mathematics , mathematical analysis

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. Following the works Hayakawa, Ishikawa, Izumiya and Yamaguchi on implicit differential equations with first integrals, we introduce a definition of multiplicity for this class of equations

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