Necessary and sufficient conditions for the existence of non-oscillating and oscillating solutions of quasi-linear functional-differential equations of neutral type with constant coefficients and impulses

This paper is dealing with second order quasi-linear impulsive functional-differential equations of neutral type with constant coefficients. Characteristic equations of such equations are established and conditions about the existence of non-oscillating and oscillating solutions in the appropriate f...

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Bibliographic Details
Main Author: Donev, V. I.
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Eigenvalues
Eigenvectors
Mathematical analysis
Online Access:Get full text
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Summary:This paper is dealing with second order quasi-linear impulsive functional-differential equations of neutral type with constant coefficients. Characteristic equations of such equations are established and conditions about the existence of non-oscillating and oscillating solutions in the appropriate form of impulsive exponent or line are obtained.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0100881