Open AccessOscillations of equations caused by several deviating arguments
Author(s) -
George E. Chatzarakis
Publication year - 2019
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2019.39.3.321
Subject(s) - mathematics , monotone polygon , oscillation (cell signaling) , variable (mathematics) , differential equation , mathematical analysis , matlab , delay differential equation , computer science , geometry , genetics , biology , operating system
Linear delay or advanced differential equations with variable coefficients and several not necessarily monotone arguments are considered, and some new oscillation criteria are given. More precisely, sufficient conditions, involving \(\lim\sup\) and \(\lim\inf\), are obtained, which essentially improve several known criteria existing in the literature. Examples illustrating the results are also given, numerically solved in MATLAB.