Oscillations of deviating difference equations using an iterative method

DOI10.1007/s00009-018-1288-4zbMath1408.39009OpenAlexW2907327970WikidataQ128685425 ScholiaQ128685425MaRDI QIDQ670532

George E. Chatzarakis, Irena Jadlovska

Publication date: 18 March 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1288-4

zbMATH Keywords

oscillationdifference equationsnon-monotone argumentretarded argumentadvanced argumentGrönwall inequality

Mathematics Subject Classification ID

Additive difference equations (39A10) Oscillation theory for difference equations (39A21)

Related Items

New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments, New aspects for the oscillation of first-order difference equations with deviating arguments, Oscillatory behavior of advanced difference equations with general arguments, On an approach to the analysis of oscillatory solutions of nonlinear delay difference equations, Oscillation tests for difference equations with non-monotone retarded arguments, Iterative oscillation criteria for first-order difference equations with non-monotone advanced arguments, Sufficient oscillation conditions for deviating difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Oscillations of difference equations with general advanced argument
• On oscillation of differential and difference equations with non-monotone delays
• Oscillation criteria for delay and difference equations with non-monotone arguments
• Linearized oscillations for equations with piecewise constant arguments
• Oscillation of discrete analogues of delay equations
• Optimal oscillation criteria for first order difference equations with delay argument
• An oscillation criterion for linear difference equations with general delay argument
• New oscillation criteria for delay difference equations
• Oscillation criteria for difference equations with non-monotone arguments
• Nonexistence and existence of positive solutions for difference equations with unbounded delay
• Oscillation of delay difference equation
• Oscillations in deviating difference equations using an iterative technique
• Oscillation criteria of first-order linear difference equations with delay argument
• Explicit conditions for the oscillation of difference equations
• Iterative oscillation tests for difference equations with several non-monotone arguments
• Improved iterative oscillation tests for first-order deviating differential equations
• Oscillation of retarded difference equations with a non-monotone argument
• Sharp conditions for the oscillation of delay difference equations