Zobrazeno 1 - 10
of 95
pro vyhledávání: '"monotonic properties"'
Autor:
Osama Moaaz, Wedad Albalawi
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 12729-12750 (2023)
In this article, we derive an optimized relationship between the solution and its corresponding function for second- and fourth-order neutral differential equations (NDE) in the canonical case. Using this relationship, we obtain new monotonic propert
Externí odkaz:
https://doaj.org/article/478407399a8745aeac4335f4b7137533
Akademický článek
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Akademický článek
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Autor:
Jozef Dzurina
Publikováno v:
Opuscula Mathematica, Vol 42, Iss 5, Pp 659-671 (2022)
This paper is concerned with oscillatory behavior of linear functional differential equations of the type \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments which means that its both delayed and advanced parts are unbounded subset of \((0,\
Externí odkaz:
https://doaj.org/article/0bbb2b28cd0741d3b68163d74ec9873c
Autor:
Blanka Baculikova
Publikováno v:
Opuscula Mathematica, Vol 42, Iss 4, Pp 549-560 (2022)
In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments, i.e. when both delayed and advanced parts of \(\tau(t)\) are significan
Externí odkaz:
https://doaj.org/article/1b021511b39e4c0b84c6bcc9a22f86b4
Publikováno v:
Axioms, Vol 12, Iss 12, p 1086 (2023)
The monotonic properties of positive solutions to functional differential equations of the third order are examined in this paper. It is generally known that by optimizing the relationships between a solution and its corresponding function, as well a
Externí odkaz:
https://doaj.org/article/40b93be77a134c3ea3204d47df5f791a
Autor:
Jozef Džurina, Blanka Baculíková
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2022, Iss 10, Pp 1-8 (2022)
This paper is devoted to the study of the oscillatory behavior of half-linear functional differential equations with deviating argument of the form \begin{equation*}\label{Eabs} \left(r(t)(y'(t))^{\alpha}\right)'=p(t)y^{\alpha}(\tau(t)). \tag{$E$}
Externí odkaz:
https://doaj.org/article/99cf0e53eb694510ae11c39b82341687
Publikováno v:
Mathematics, Vol 11, Iss 20, p 4380 (2023)
In this article, we investigate some qualitative properties of solutions to a class of functional differential equations with multi-delay. Using a modified approach, we first derive a number of optimized relations and inequalities that relate the sol
Externí odkaz:
https://doaj.org/article/7360b31f746a41158b31e9a8b5603d74
Publikováno v:
Symmetry, Vol 15, Iss 9, p 1744 (2023)
We investigate the oscillation of the fourth-order differential equation for a class of functional differential equations of the neutral type. We obtain a new single-oscillation criterion for the oscillation of all the solutions of our equation. We e
Externí odkaz:
https://doaj.org/article/82bcd7a51f3e4bbea4d71dbabb8b1304
Autor:
Blanka Baculíková, Jozef Džurina
Publikováno v:
Opuscula Mathematica, Vol 40, Iss 5, Pp 523-536 (2020)
In the paper, we study oscillation of the half-linear second order delay differential equations of the form \[\left(r(t)(y'(t))^{\alpha}\right)'+p(t)y^{\alpha}(\tau(t))=0.\] We introduce new monotonic properties of its nonoscillatory solutions and us
Externí odkaz:
https://doaj.org/article/f62ac94cc31842fb8ed9e141e771ee73