Results 1 to 10 of about 701,026 (330)
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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Classification of generalized ternary quadratic quasigroup functional equations of the length three
Karpatsʹkì Matematičnì Publìkacìï, 2019 A functional equation is called: generalized if all functional variables are pairwise different; ternary if all its functional variables are ternary; quadratic if each individual variable has exactly two appearances; quasigroup if its solutions are ...
F.M. Sokhatsky, A.V. Tarasevych
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A quadratic bilinear equation arising from the quadratic dynamical system [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 A quadratic dynamical system with practical applications is taken into consideration. This system is transformed into a new bilinear system with Hadamard products by means of the implicit matrix structure. The corresponding quadratic bilinear equation is
Bo Yu, Ning Dong, Qiong Tang
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Convex Quadratic Equation [PDF]
Journal of Optimization Theory and Applications, 2020 AbstractTwo main results (A) and (B) are presented in algebraic closed forms. (A) Regarding the convex quadratic equation, an analytical equivalent solvability condition and parameterization of all solutions are formulated, for the first time in the literature and in a unified framework.
Li-Gang Lin +2 more
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Quadratic Equation in Split Quaternions
Axioms, 2022 Split quaternions are noncommutative and contain nontrivial zero divisors. Generally speaking, it is difficult to solve equations in such an algebra. In this paper, by using the roots of any split quaternions and two real nonlinear systems, we derive ...
Wensheng Cao
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Jurnal Derivat, 2023 This study aims to identify and describe student errors based on concepts errors, principles errors, and operations errors in solving quadratic equation material. This type of research is descriptive qualitative.
Jeriko Lumban Batu +1 more
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Characterization and stability analysis of advanced multi-quadratic functional equations
Advances in Difference Equations, 2021 In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable.
Abasalt Bodaghi +2 more
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Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations
Journal of Function Spaces, 2022 The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi +2 more
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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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On a Quadratic Nonlinear Fractional Equation
Fractal and Fractional, 2023 In this paper, we study a quadratic nonlinear equation from the fractional point of view. An explicit solution is given in terms of the Lambert special function.
Iván Area, Juan J. Nieto
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