Euler Type Half-Linear Differential Equation with Periodic Coefficients
Abstract and Applied Analysis, 2013We investigate oscillatory properties of the perturbed half-linear Euler differential equation. We show that the results of the recent paper by O. Došlý and H.
Ondřej Došlý, Hana Funková
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We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half-linear Euler differential equation.
Ondřej Došlý, Hana Funková
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Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered.
Zh.A. Sartabanov, G.M. Aitenova
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Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers [PDF]
ACM Transactions on Mathematical Software, 2020In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party algebraic solvers and data structures.
D. J. Gardner+3 more
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About zeros of some oscillations with dynamic friction [PDF]
INCAS Bulletin, 2014Consider a second order differential non-linear equation having free boundary value conditions. Let be a solution having infinity of unknown zeros. The integral of energy gives the implicit correlation between the successive modules of the extreme ...
Nicolae MARCOV
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Generalized linear differential equation using Hyers-Ulam stability approach
AIMS Mathematics, 2021In this paper, we study the Hyers-Ulam stability with respect to the linear differential condition of fourth order. Specifically, we treat ${\psi}$ as an interact arrangement of the differential condition, i.e., where ${\psi} \in c^4 [{\ell}, {\mu}]
Bundit Unyong+7 more
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Adapting the range of validity for the Carleman linearization [PDF]
Advances in Radio Science, 2016In this contribution, the limitations of the Carleman linearization approach are presented and discussed. The Carleman linearization transforms an ordinary nonlinear differential equation into an infinite system of linear differential equations. In order
H. Weber, W. Mathis
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Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
MATEC Web of Conferences, 2019Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
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Regions of stability for a linear differential equation with two rationally dependent delays [PDF]
, 2013Stability analysis is performed for a linear differential equation with two delays. Geometric arguments show that when the two delays are rationally dependent, then the region of stability increases.
J. Mahaffy, Timothy C. Busken
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Computing the Galois group of some parameterized linear differential equation of order two [PDF]
, 2011We extend Kovacic's algorithm to compute the differential Galois group of some second order parameterized linear differential equation. In the case where no Liouvillian solutions could be found, we give a necessary and sufficient condition for the ...
T. Dreyfus
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