Results 1 to 10 of about 806,956 (259)
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
doaj +1 more source
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
core +2 more sources
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
core +2 more sources
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
core +2 more sources
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
doaj +1 more source
Tautological systems and free divisors [PDF]
, 2019 We introduce tautological system defined by prehomogenous actions of reductive algebraic groups. If the complement of the open orbit is a linear free divisor satisfying a certain finiteness condition, we show that these systems underly mixed Hodge ...
Macarro, Luis Narváez +1 more
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Differential Equations on Complex Projective Hypersurfaces of Low Dimension [PDF]
, 2008 Let $n=2,3,4,5$ and let $X$ be a smooth complex projective hypersurface of $\mathbb P^{n+1}$. In this paper we find an effective lower bound for the degree of $X$, such that every holomorphic entire curve in $X$ must satisfy an algebraic differential ...
Diverio, Simone
core +1 more source
A problem with parameter for the integro-differential equations
Mathematical Modelling and Analysis, 2021 The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova +2 more
doaj +1 more source