Dynamical equivalence of quasilinear equations

Andrejs Reinfelds; Dzintra Steinberga

doi:10.12732/ijpam.v98i3.8

Dynamical equivalence of quasilinear equations

Andrejs Reinfelds^*
, Dzintra Steinberga

^*Šī darba korespondējošais autors

Matemātikas nodaļa

University of Latvia

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

17 Atsauces (Scopus)

Kopsavilkums

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.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	355-364
Lapu skaits	10
Žurnāls	International Journal of Pure and Applied Mathematics
Sējums	98
Izdevuma numurs	3
DOIs	https://doi.org/10.12732/ijpam.v98i3.8
Publikācijas statuss	Publicēts - 2015

OECD Zinātnes nozare

1.1 Matemātika

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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",

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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

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VL - 98

SP - 355

EP - 364

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

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Dynamical equivalence of quasilinear equations

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