TY  - JOUR
ID  - Chatzarakis2018
LB  - Chatzarakis2018
AU  - Chatzarakis, George E.
AU  - Jadlovská, Irena
TI  - Improved iterative oscillation tests for first-order deviating differential equations
ST  - Improved iterative oscillation tests for first-order deviating differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 3
SP  - 327
EP  - 356
DO  - https://doi.org/10.7494/OpMath.2018.38.3.327
UR  - https://doi.org/10.7494/OpMath.2018.38.3.327
AB  - In this paper, improved oscillation conditions are established for the oscillation of all solutions of differential equations with non-monotone deviating arguments and nonnegative coefficients. They lead to a procedure that checks for oscillations by iteratively computing \(\lim \sup\) and \(\lim \inf\) on terms recursively defined on the equation's coefficients and deviating argument. This procedure significantly improves all known oscillation criteria. The results and the improvement achieved over the other known conditions are illustrated by two examples, numerically solved in MATLAB.
KW  - differential equation
KW  - non-monotone argument
KW  - oscillatory solution
KW  - nonoscillatory solution
SN  - 1232-9274
ER  -