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Phenomenological rate-independent uniaxial hysteretic models: A mini-review
Frontiers in Built Environment, 2022 A great variety of phenomenological models has been proposed over the years to model rate-independent hysteretic forces in structural mechanics. The classification of such models is usually based on the type of equation that needs to be solved to ...
Raffaele Capuano +2 more
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Transforming Radical Differential Equations to Algebraic Differential Equations
Mediterranean Journal of Mathematics, 2022 Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables.
Falkensteiner, Sebastian, Sendra, Rafael
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Nonlinear Eigenvalue Approach to Differential Riccati Equations for Contraction Analysis [PDF]
, 2016 In this paper, we extend the eigenvalue method of the algebraic Riccati equation to the differential Riccati equation (DRE) in contraction analysis. One of the main results is showing that solutions to the DRE can be expressed as functions of nonlinear ...
Kawano, Yu, Ohtsuka, Toshiyuki
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Solving inverse non-linear fractional differential equations by generalized Chelyshkov wavelets
Alexandria Engineering Journal, 2023 The purpose of this research is to employ a method involving Chelyshkov wavelets to construct a numerical solution to the inverse problem of determining the right-hand side function of a non-linear fractional differential equation by utilizing over ...
Sertaç Erman, Ali Demir, Ebru Ozbilge
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Generic planar algebraic vector fields are disintegrated
, 2020 In this article, we study model-theoretic properties of algebraic differential equations of order $2$, defined over constant differential fields. In particular, we show that the set of solutions of a general differential equation of order $2$ and of ...
Jaoui, Rémi
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Variations for Some Painlev\'e Equations [PDF]
, 2019 This paper first discusses irreducibility of a Painlev\'e equation $P$. We explain how the Painlev\'e property is helpful for the computation of special classical and algebraic solutions.
Acosta-Humánez, Primitivo B. +2 more
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Double reductions and traveling wave structures of the generalized Pochhammer–Chree equation
Partial Differential Equations in Applied Mathematics, 2023 Symmetry methods are always very useful for discussing the classes of differential equation solutions. This article focuses on traveling wave structures of the generalized Pochhammer–Chree (PHC) equation.
A. Hussain +3 more
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Picard-Vessiot Extensions of Real Differential Fields [PDF]
, 2019 For a linear differential equation defined over a formally real differential field K with real closed field of constants k, Crespo, Hajto and van der Put proved that there exists a unique formally real Picard- Vessiot extension up to K-differential ...
Crespo, Teresa, Hajto, Zbigniew
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Математичні Студії, 2023 The paper deals with the problem of constructing asymptotic solutions for singular perturbed linear differential-algebraic equations with periodic coefficients. The case of multiple roots of a characteristic equation is studied.
S. Radchenko +2 more
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Positive Stabilization of Linear Differential Algebraic Equation System
International Journal of Differential Equations, 2016 We study in this paper the existence of a feedback for linear differential algebraic equation system such that the closed-loop system is positive and stable. A necessary and sufficient condition for such existence has been established. This result can be
Muhafzan
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