Results 41 to 50 of about 572,208 (300)
Sufficient conditions for the existence of a center in polynomial systems of arbitrary degree [PDF]
, 1996 In this paper, we consider polynomial systems of the form $\dot x=y+P (x,y)$, $\dot y=-x+Q(x,y)$, where $P$ and $Q$ are polynomials of degree $n$ wihout linear part. For the case $n=3$, we have found new sufficient conditions for a center at the origin,
Giacomini, H., Ndiaye, M.
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, 2009 In this paper we are going to apply the invariant theory to give invariant conditions on the coefficients of any non-degenerate quadratic system in order to determine if it has or not a polynomial first integral without using any normal form.
Joan C. Artés, J. Llibre, N. Vulpe
semanticscholar +1 more source
Automatic Control Systems Modeling by Volterra Polynomials
Моделирование и анализ информационных систем, 2015 The problem of the existence of the solutions of polynomial Volterra integral equations of the first kind of the second degree is considered. An algorithm of the numerical solution of one class of Volterra nonlinear systems of the first kind is developed.
S. V. Solodusha
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Computation of focus quantities of three-dimensional polynomial systems
上海师范大学学报. 自然科学版, 2014 Fix a collection of polynomial vector fields on R3 with a singularity at the origin,for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue.Some such systems admit a local analytic first integral,which then
Valery G. Romanovski, Douglas S. Shafer
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Журнал Средневолжского математического общества, 2021 A nonlinear system of differential equations describing the rotational motion of a rigid body under the action of torque of potential and circular-gyroscopic forces is considered.
Kosov Alexander A., Semenov Eduard I.
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Liouvillian first integrals for Liénard polynomial differential systems [PDF]
Proceedings of the American Mathematical Society, 2010 Summary: We characterize the Liouvillian first integrals for the Liénard polynomial differential systems of the form \(x^{\prime } = y, y^{\prime } = -cx-f(x)y\), with \(c \in \mathbb{R}\) and \(f(x)\) is an arbitrary polynomial. For obtaining this result we need to find all the Darboux polynomials and the exponential factors of these systems.
Llibre, J., Valls, C.
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Mathematical Modelling and Analysis, 1997 „Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p.
Arvet Pedas
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Advances in Mathematical Physics, 2023 In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi +3 more
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Journal of Mathematics, 2022 The main objective of this article is to introduce the notion of n–polynomial harmonically tgs–convex function and study its algebraic properties. First, we use this notion to present new variants of the Hermite–Hadamard type inequality and related ...
Artion Kashuri +8 more
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Coefficient inverse problem for the strongly degenerate parabolic equation
Karpatsʹkì Matematičnì Publìkacìï, 2023 The coefficient inverse problem for the degenerate parabolic equation is investigated. The minor coefficient of this equation is the polynomial of the first power with respect to the space variable with two unknown time-dependent functions.
N.M. Huzyk, P.Y. Pukach, M.I. Vovk
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