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22.1
L86
Loannis, P.
Qualitative Behavior of the Solutions to Delay and Difference Euations [Текст] / P. Loannis // Әл - Фараби атындағы ҚҰУ Хабаршы = Вестник КазНУ им. Аль - Фараби. - Алматы, 2018. - №2(98). - Р. 3-11. - (Математика, механика, информатика сериясы=Серия математика, механика, информатика. Journal of Mathematics, Mechanics, Computer Science.)
ББК 22.1
Рубрики: Математика
Кл.слова (ненормированные):
oscillation -- delay differential equations -- difference equations
Аннотация: It is noteworthy to observe that a first-order linear ordinary differential equationwithout delaydoes not possess oscillatorysolutions. Therefore the investigation of oscillatory solutions is ofinterest for equations with delays or for the discrete analogue difference equations. Furthermore, themathematical modelling of several real-world problems leads to differential equations that dependon the past history rather than only the current state. In this article conditions are presentedsuch that all solutions of delay and difference equationsare oscillatorywhileall solutionsof thecorresponding ordinary differential equations without delay are, for example,decreasing and tendto zero. Equations with constant and variable arguments are investigated. Several examples ofdelay and difference equations with applications to many sectors of life are presented.
Держатели документа:
ЗКГУ
L86
Loannis, P.
Qualitative Behavior of the Solutions to Delay and Difference Euations [Текст] / P. Loannis // Әл - Фараби атындағы ҚҰУ Хабаршы = Вестник КазНУ им. Аль - Фараби. - Алматы, 2018. - №2(98). - Р. 3-11. - (Математика, механика, информатика сериясы=Серия математика, механика, информатика. Journal of Mathematics, Mechanics, Computer Science.)
Рубрики: Математика
Кл.слова (ненормированные):
oscillation -- delay differential equations -- difference equations
Аннотация: It is noteworthy to observe that a first-order linear ordinary differential equationwithout delaydoes not possess oscillatorysolutions. Therefore the investigation of oscillatory solutions is ofinterest for equations with delays or for the discrete analogue difference equations. Furthermore, themathematical modelling of several real-world problems leads to differential equations that dependon the past history rather than only the current state. In this article conditions are presentedsuch that all solutions of delay and difference equationsare oscillatorywhileall solutionsof thecorresponding ordinary differential equations without delay are, for example,decreasing and tendto zero. Equations with constant and variable arguments are investigated. Several examples ofdelay and difference equations with applications to many sectors of life are presented.
Держатели документа:
ЗКГУ
Page 1, Results: 1