Oscillations of equations caused by several deviating arguments | Zendy

George E. Chatzarakis | Zendy

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Oscillations of equations caused by several deviating arguments

Author(s) -

George E. Chatzarakis

Publication year - 2019

Publication title -

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.

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