Temat: non-monotone argument - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Oscillations of equations caused by several deviating arguments
Autorzy:: Chatzarakis, George E.
Powiązania:: https://bibliotekanauki.pl/articles/952820.pdf
Data publikacji:: 2019
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: differential equation
non-monotone argument
oscillatory solution
nonoscillatory solution
Opis:: 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 limsup and liminf, are obtained, which essentially improve several known criteria existing in the literature. Examples illustrating the results are also given, numerically solved in MATLAB.
Źródło:: Opuscula Mathematica; 2019, 39, 3; 321-353
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Improved iterative oscillation tests for first-order deviating differential equations
Autorzy:: Chatzarakis, G. E,
Jadlovska, I.
Powiązania:: https://bibliotekanauki.pl/articles/255719.pdf
Data publikacji:: 2018
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: differential equation
non-monotone argument
oscillatory solution
nonoscillatory solution
Opis:: 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.
Źródło:: Opuscula Mathematica; 2018, 38, 3; 327-356
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Oscillation criteria for linear difference equations with several variable delays
Autorzy:: Benekas, Vasileios
Garab, Ábel
Kashkynbayev, Ardak
Stavroulakis, Ioannis P.
Powiązania:: https://bibliotekanauki.pl/articles/2049029.pdf
Data publikacji:: 2021
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: oscillation
difference equations
several delays
non-monotone argument
slowly varying function
Opis:: We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by letting the limes inferior be replaced by the limes superior under some additional assumptions related to slow variation. On the other hand, our findings generalize an oscillation criterion recently given for the case of a constant, single delay.
Źródło:: Opuscula Mathematica; 2021, 41, 5; 613-627
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: New oscillation conditions for first-order linear retarded difference equations with non-monotone arguments
Autorzy:: Attia, Emad R.
El-Matary, Bassant M.
Chatzarakis, George E.
Powiązania:: https://bibliotekanauki.pl/articles/29519176.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: oscillation
difference equations
non-monotone argument
Opis:: In this paper, we study the oscillatory behavior of the solutions of a first-order difference equation with non-monotone retarded argument and nonnegative coefficients, based on an iterative procedure. We establish some oscillation criteria, involving lim sup, which achieve a marked improvement on several known conditions in the literature. Two examples, numerically solved in MAPLE software, are also given to illustrate the applicability and strength of the obtained conditions.
Źródło:: Opuscula Mathematica; 2022, 42, 6; 769-791
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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