Results 1 to 10 of about 71,141 (164)
On a Cubic Equation and a Jensen-Quadratic Equation [PDF]
Abstract and Applied Analysis, 2007 We obtain the general solutions of the cubic functional equation3[g(x+y)+g(x−y)+6g(x)]=2g(2x+y)+2g(2x−y)+g(−x−y)+g(−x+y)+6g(−x)and the Jensen-quadratic functional equationf((x+y)/2,z+w)+f((x+y)/2,z−w)=f(x,z)+f(x,w)+f(y,z)+f(y,w).
Jae-Hyeong Bae, Won-Gil Park
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General Cubic-Quartic Functional Equation [PDF]
Abstract and Applied Analysis, 2011 We obtain the general solution and the generalized Hyers-Ulam stability of the general cubic-quartic functional equation for fixed integers k with 𝑘≠0,±1: 𝑓(𝑥+𝑘𝑦)+𝑓(𝑥−𝑘𝑦)=𝑘2(𝑓(𝑥+𝑦)+𝑓(𝑥−𝑦))+2(1−𝑘2)𝑓(𝑥)+((𝑘4−𝑘2)/4)(𝑓(2𝑦)−8𝑓(𝑦))+𝑓(2𝑥)−16𝑓(𝑥), where 𝑓(𝑥)∶=
M. Eshaghi Gordji +2 more
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The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
Results in Physics, 2018 This paper deals with the nonlinear Schrödinger equation with Cubic-Quintic nonlinearities. After transforming the non-autonomous nonlinear Schrödinger equation into a stationary equation by adopting the BPVK idea, we give the classification of the ...
Chun-Yan Wang
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Solving 2D-Poisson equation using modified cubic B-spline differential quadrature method
Ain Shams Engineering Journal, 2018 In this study a modified cubic B-spline differential quadrature method (MCBDQM) is used to solve the two dimensional Poisson equation. Using the cubic B-spline functions, explicit expressions of weighting coefficients for approximation of derivatives are
Ahmed M. Elsherbeny +3 more
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Mittag-Leffler-Hyers-Ulam-Rassias stability of cubic functional equation [PDF]
Mathematics and Computational Sciences, 2021 In this paper, we prove the Mittag-Leffler-Hyers-Ulam-Rassias stability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions.
V Kalvandi, M. E Samei
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Фізико-математична освіта, 2023 Formulation of the problem. The basis of teaching mathematics is logical thinking, (which is associated with) based on the work of the left hemisphere.
Шойра Абдієва +1 more
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Agriculture, 2023 The aims of this study were to analyze in depth the impact of agricultural machinery socialization services on the scale of land operation and to examine whether agricultural machinery socialization services can effectively alleviate the constraints ...
Siyu Yang, Feng Zhang
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OPUSCULO SOBRE LA SOLUCIÓN DE LA ECUACIÓN CÚBICA
Revista Ingeniería, Matemáticas y Ciencias de la Información, 2021 In the theory of equations, the solution of the equation of third degree (cubic) occupies a prominent place in the historyof mathematics. Notable mathematicians made important contributions to complete that theory, which was not exemptfrom serious ...
Carlos M. Mata Rodríguez
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UNIFIED FUNCTIONAL METHOD FOR SOLVING GENERAL POLYNOMIAL EQUATIONS OF DEGREE LESS THAN FIVE
Malaysian Journal of Computing, 2021 A unified method for solving general polynomial equation of degree less than five that incorporate a computational formula that relate the coefficients of the depressed equation and the coefficient of the standard polynomial equation is proposed in this ...
Dozie Felix Nwosu +3 more
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Solve the Cubic Equation in a New Method with Engineering Application
Al-Qadisiyah Journal for Engineering Science, 2020 Up to date the cubic equation or matrix tensor is consisting of nine values such as stress tensor that turns into the cubic equation which has been used for solving classic method.
Abdullah Dhayea Assi
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