Oscillation in deviating differential equations using an iterative method
Authors: George E. Chatzarakis ; Irena Jadlovská
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George E. Chatzarakis;Irena Jadlovská
Sufficient oscillation conditions involving lim sup and lim inf for first-order differential equations with non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Grönwall inequality. Examples, numerically solved in MATLAB, are also given to illustrate the applicability and strength of the obtained conditions over known ones.
Attia, Emad R., 2021, Oscillation Tests For First-Order Linear Differential Equations With Non-Monotone Delays, Advances In Difference Equations, 2021, 1, 10.1186/s13662-020-03209-4.
Basu, R., 2021, An Iterative Scheme For The Oscillation Criteria Of A Nonlinear Delay Differential Equation With Several Deviating Arguments, Asian-European Journal Of Mathematics, 15, 04, 10.1142/s1793557122500711.
Benaissa Cherif, Amin; Fethallah, Moussa; Zohra Ladrani, Fatima, 2022, Oscillation Theorems For Advanced Differential Equations, Novi Sad Journal Of Mathematics, Accepted, 10.30755/nsjom.12180.