Improved iterative oscillation tests for first-order deviating differential equations

• Autorzy: Chatzarakis G. E , Jadlovska I.

Identyfikatory

DOI

10.7494/OpMath.2018.38.3.327

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

differential equation; non-monotone argument; oscillatory solution; nonoscillatory solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 3
• Strony: 327--356
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Chatzarakis G. E

• School of Pedagogical and Technological Education (ASPETE) Department of Electrical and Electronic Engineering Educators 14121, N. Heraklio, Athens, Greece

autor

Jadlovska I.

• Technical University of Kosice Faculty of Electrical Engineering and Informatics Department of Mathematics and Theoretical Informatics Letna 9, 042 00 Kosice, Slovakia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).