Properties of Zeros of Solutions to Third Order Nonlinear Differential Equations

Sergey Smirnov

doi:10.3846/13926292.2013.841298

Properties of Zeros of Solutions to Third Order Nonlinear Differential Equations

Sergey Smirnov^*

^*Šī darba korespondējošais autors

University of Latvia

Pētījuma izpildes rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

1 Atsauce (Scopus)

Kopsavilkums

We investigate the behavior of zeros of solutions to the certain type of third order nonlinear differential equations. We show that the behavior of zeros may be rather different and depend on the nature of nonlinearity in the equation. Main results in the paper are illustrated with a number of examples.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	480-488
Lapu skaits	9
Žurnāls	Mathematical Modelling and Analysis
Sējums	18
Izdevuma numurs	4
DOIs	https://doi.org/10.3846/13926292.2013.841298
Publikācijas statuss	Publicēts - sept. 2013
Ārēji publicēts	Jā

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title = "Properties of Zeros of Solutions to Third Order Nonlinear Differential Equations",

abstract = "We investigate the behavior of zeros of solutions to the certain type of third order nonlinear differential equations. We show that the behavior of zeros may be rather different and depend on the nature of nonlinearity in the equation. Main results in the paper are illustrated with a number of examples.",

keywords = "dependence of zeros on initial data, sub-linearity, super-linearity, third order nonlinear differential equations, zeros of solutions",

author = "Sergey Smirnov",

year = "2013",

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doi = "10.3846/13926292.2013.841298",

language = "English",

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AB - We investigate the behavior of zeros of solutions to the certain type of third order nonlinear differential equations. We show that the behavior of zeros may be rather different and depend on the nature of nonlinearity in the equation. Main results in the paper are illustrated with a number of examples.

KW - dependence of zeros on initial data

KW - sub-linearity

KW - super-linearity

KW - third order nonlinear differential equations

KW - zeros of solutions

UR - https://www.scopus.com/pages/publications/84885152253

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DO - 10.3846/13926292.2013.841298

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Properties of Zeros of Solutions to Third Order Nonlinear Differential Equations

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