On oscillations of solutions of third-order dynamic equation
type: Item
instance of: scholarly article
title: On oscillations of solutions of third-order dynamic equation
zbMATH Open document ID: 1246.34032
DOI: 10.1155/2012/715981
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: We are proving the new oscillation theorems for the solutions of third-order linear nonautonomous differential equation with complex coefficients. In the case of real coefficients we derive the oscillation criterion that is invariant with respect to the adjoint transformation. Our main tool is a new version of Levinson's asymptotic theorem.
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6078790
zbMATH Keywords: oscillations
zbMATH Keywords: third-order dynamic equation
author: Gro Hovhannisyan
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/715981
OpenAlex ID: W2030287261
Wikidata QID: Q58696636
cites work: Oscillation theory of ordinary linear differential equations
cites work: Existence of oscillatory solutions and asymptotic behavior for a class of third order linear differential equations
cites work: Hille and Nehari type criteria for third-order dynamic equations
cites work: Oscillation criteria for third-order linear differential equations
cites work: The behavior of solutions of the differential equation \(y'''+p(x)y'+q(x)y = 0\)
cites work: Decomposizione delle espressioni differenziali lineari omogenee in prodotti di fattori simbolici e applicazione relativa allo studio delle equazioni differenziali lineari
cites work: Q5584775
cites work: Q3992443
cites work: On Self-Adjoint Differential Equations of Second Order
description: scientific article; zbMATH DE number 6078790