Oscillation of Bounded Solutions of Delay Differential Equations

The purpose of this paper is to give new oscillation criteria for second-order delay differential equations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>y</mi><mrow><...

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Bibliographic Details
Main Author: Jozef Dzurina
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/1/49
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Summary:The purpose of this paper is to give new oscillation criteria for second-order delay differential equations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>y</mi><mrow><mo>″</mo></mrow></msup><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><mi>p</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mi>y</mi><mrow><mo>(</mo><mi>τ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>.</mo></mrow></semantics></math></inline-formula> We introduce a new technique for the elimination of bounded nonoscillatory solutions.
ISSN:2227-7390