A Survey on Oscillation of Impulsive Ordinary Differential Equations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2010 English Publisher:Springer Science and Business Media LLCJournal:Advances in Difference Equations, volume 2,010, pages 1-53 (issn: 1687-1839, eissn: 1687-1847,

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Authors: Agarwal, Ravi P.; Karakoc, Fatma; Zafer, Agacik;

doi: 10.1155/2010/354841 , 10.1186/1687-1847-2010-354841

A Survey on Oscillation of Impulsive Ordinary Differential Equations

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Abstract

The authors make a fundamental survey on oscillation of first- and second-order of linear, half-linear, super-half-linear and nonlinear impulse differential equations. The Sturmian theory for second-order linear impulse equations is discussed, too.

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Keywords

Algebra and Number Theory, Applied Mathematics, oscillations, QA1-939, Sturmian comparison theory, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Ordinary differential equations with impulses, Mathematics, Analysis, impulse differential equations

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