Results 21 to 30 of about 299,219 (282)
Tropical differential equations [PDF]
, 2015 Tropical differential equations are introduced and an algorithm is designed which tests solvability of a system of tropical linear differential equations within the complexity polynomial in the size of the system and in its coefficients.
Grigoriev, Dima
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Ain Shams Engineering Journal, 2018 In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic ...
Yousef Jafarzadeh, Bagher Keramati
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Integrable differential systems for deformed Laguerre–Hahn orthogonal polynomials
Nonlinearity, 2023 AbstractOur work studies sequences of orthogonal polynomials{Pn(x)}n⩾0of the Laguerre–Hahn class, whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coefficients, which are subject to a deformation parametert. We derive systems of differential equations and give Lax pairs, yielding nonlinear differential equations ...
Maria das Neves Rebocho, Nicholas Witte
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Analytic reducibility of nondegenerate centers: Cherkas systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible.
Jaume Giné, Jaume Llibre
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Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
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On the Darboux Integrability of Polynomial Differential Systems [PDF]
Qualitative Theory of Dynamical Systems, 2011 A method to find explicit closed forms for a first integral of a planar polynomial differential system from its invariant algebraic curves was given by \textit{G. Darboux} [C. R. LXXXVI, 581--586 (1878; JFM 10.0214.03)]. From that moment on, many research articles were devoted to the study of the integrability problem by using the invariant algebraic ...
Llibre, Jaume, Zhang, Xiang
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Certifying isolated singular points and their multiplicity structure [PDF]
, 2015 This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root.
A, Caprasse H., Traverso C., Yamamoto N.
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Analytic integrability of quadratic–linear polynomial differential systems [PDF]
Ergodic Theory and Dynamical Systems, 2009 AbstractFor the quadratic–linear polynomial differential systems with a finite singular point, we classify the ones which have a global analytic first integral, and provide the explicit expression of their first integrals.
Llibre, Jaume, Valls, Clàudia
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Noises for Impulsive Differential Systems
IEEE Access, 2019 Stochastic feedback control has aroused folks’ notice, but little is known on the roles of stochastic noises for the dynamic behavior of impulsive differential systems.
Shengnan Hao +3 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. The presence or absence of limit cycles of polynomial systems constitutes the second part of Hilbert’s well-known 16th problem, which has not yet been completely solved.
V.V. Machulis
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