Dynamical equivalence of quasilinear equations

Andrejs Reinfelds; Dzintra Steinberga

doi:10.12732/ijpam.v98i3.8

Dynamical equivalence of quasilinear equations

Andrejs Reinfelds^*
, Dzintra Steinberga

^*Corresponding author for this work

Department of Mathematics

University of Latvia

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

Using Green type map we can find sufficient conditions under which a quasilinear equation is dynamically equivalent to its corresponding linear equation. This result extends Grobman - Hartman theorem for equations without ordinary dichotomy.

Original language	English
Pages (from-to)	355-364
Number of pages	10
Journal	International Journal of Pure and Applied Mathematics
Volume	98
Issue number	3
DOIs	https://doi.org/10.12732/ijpam.v98i3.8
Publication status	Published - 2015

OECD Field of Science

1.1 Mathematics

Keywords

Green type map
Grobman's-Hartman's linearization theorem
Invertible difference equations
Quasilinear differential equations

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10.12732/ijpam.v98i3.8

Cite this

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title = "Dynamical equivalence of quasilinear equations",

abstract = "Using Green type map we can find sufficient conditions under which a quasilinear equation is dynamically equivalent to its corresponding linear equation. This result extends Grobman - Hartman theorem for equations without ordinary dichotomy.",

keywords = "Green type map, Grobman's-Hartman's linearization theorem, Invertible difference equations, Quasilinear differential equations",

author = "Andrejs Reinfelds and Dzintra Steinberga",

note = "Publisher Copyright: {\textcopyright} 2015 Academic Publications, Ltd.",

year = "2015",

doi = "10.12732/ijpam.v98i3.8",

language = "English",

volume = "98",

pages = "355--364",

journal = "International Journal of Pure and Applied Mathematics",

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T1 - Dynamical equivalence of quasilinear equations

AU - Reinfelds, Andrejs

AU - Steinberga, Dzintra

PY - 2015

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N2 - Using Green type map we can find sufficient conditions under which a quasilinear equation is dynamically equivalent to its corresponding linear equation. This result extends Grobman - Hartman theorem for equations without ordinary dichotomy.

AB - Using Green type map we can find sufficient conditions under which a quasilinear equation is dynamically equivalent to its corresponding linear equation. This result extends Grobman - Hartman theorem for equations without ordinary dichotomy.

KW - Green type map

KW - Grobman's-Hartman's linearization theorem

KW - Invertible difference equations

KW - Quasilinear differential equations

UR - https://www.scopus.com/pages/publications/84922536027

U2 - 10.12732/ijpam.v98i3.8

DO - 10.12732/ijpam.v98i3.8

M3 - Article

AN - SCOPUS:84922536027

SN - 1311-8080

VL - 98

SP - 355

EP - 364

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 3

ER -

Dynamical equivalence of quasilinear equations

Abstract

OECD Field of Science

Keywords

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