Roots of Second Order Polynomials with Real Coefficients in Elliptic Scator Algebra
Journal of New Theory, 2021 The roots of second order polynomials with real coefficients are obtained in the S^{1+2} scator set. Explicit formulae are computed in terms of the polynomial coefficients.
Manuel Fernandez-guasti
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Polynomial solutions of differential–difference equations
Journal of Approximation Theory, 2011 We investigate the zeros of polynomial solutions to the differential-difference equation \[ P_{n+1}(x)=A_{n}(x)P_{n}^{\prime}(x)+B_{n}(x)P_{n}(x), n=0,1,... \] where $A_{n}$ and $B_{n}$ are polynomials of degree at most 2 and 1 respectively. We address the question of when the zeros are real and simple and whether the zeros of polynomials of adjacent ...
Dominici, Diego +2 more
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Simple Equations Method and Non-Linear Differential Equations with Non-Polynomial Non-Linearity
Entropy, 2021 We discuss the application of the Simple Equations Method (SEsM) for obtaining exact solutions of non-linear differential equations to several cases of equations containing non-polynomial non-linearity. The main idea of the study is to use an appropriate
Nikolay K. Vitanov +1 more
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The structure of solutions of the matrix linear unilateral polynomial equation with two variables
Karpatsʹkì Matematičnì Publìkacìï, 2017 We investigate the structure of solutions of the matrix linear polynomial equation $A(\lambda)X(\lambda)+B(\lambda)Y(\lambda)=C(\lambda),$ in particular, possible degrees of the solutions.
N.S. Dzhaliuk, V.M. Petrychkovych
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Polynomial solutions of differential equations [PDF]
Advances in Difference Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azad, H, Laradji, A, Mustafa, M T
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The number of polynomial solutions of polynomial Riccati equations
Journal of Differential Equations, 2016 21 pages, 1 ...
Armengol Gasull +2 more
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Asymptotic behavior of solutions of discrete Volterra equations [PDF]
Opuscula Mathematica, 2016 We consider the nonlinear discrete Volterra equations of non-convolution type \[\Delta^m x_n=b_n+\sum\limits_{i=1}^{n}K(n,i)f\left(i,x_i\right), \quad n\geq 1.\] We present sufficient conditions for the existence of solutions with prescribed asymptotic ...
Janusz Migda, Małgorzata Migda
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On the Blended Solutions of Polynomial-Like Iterative Equation with Multivalued Functions
Discrete Dynamics in Nature and Society, 2018 The blended solutions are more general than the unblended solutions for polynomial-like iterative equation with multivalued functions. In this paper we study the blended solutions of polynomial-like iterative equation with multivalued functions.
Jinghua Liu, Hongjuan Duan, Zhiheng Yu
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DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
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Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this paper a new method to compute approximate analytical solutions for differential equations of fractional order is presented. The proposed computational method, called the Piecewise Polynomial Least Squares Method (PWPLSM), is a combination of the ...
Paşca Mädälina Sofia
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