Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type

We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations. New oscillation criteria are established that complement...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2018; no. 1; pp. 1 - 9
Main Authors Zhang, Ming, Chen, Wei, El-Sheikh, MMA, Sallam, RA, Hassan, AM, Li, Tongxing
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 19.01.2018
SpringerOpen
Subjects
Analysis
delay dynamic equation
Difference and Functional Equations
Functional Analysis
Mathematics
Mathematics and Statistics
neutral dynamic equation
Ordinary Differential Equations
oscillation
Partial Differential Equations
second-order
oscillation
neutral dynamic equation
second-order
34N05
34K11
delay dynamic equation
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Summary:We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations. New oscillation criteria are established that complement and improve related contributions to the subject. An example is given to illustrate the main results.
ISSN:1687-1847
1687-1847
DOI:10.1186/s13662-018-1474-5