Results 1 to 10 of about 988,651 (350)
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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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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Quadratic Hessian Equation [PDF]
Surveys in Geometric Analysis 2023, 157--177, Science Press,
Beijing, 2024We survey quadratic Hessian equations: definition, background, rigidity of entire solutions, regularity of viscosity solutions, a priori Hessian estimates, and open problems.
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Solving quadratic equations [PDF]
Journal of Chemical Education, 1987 Oliver G. Ludwig
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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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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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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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On the quadratic equations for odeco tensors [PDF]
, 2022 ispartof: Go 60 – Pure and Applied Algebraic Geometry celebrating Giorgio Ottaviani’s 60th birthday location ...
Biaggi, Benjamin +2 more
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Al-Jabar, 2020 Students' low creative thinking skills and difficulty in drawing graphs from the given algebraic equations are the background of this study. The purpose of this study was to determine the mathematical creative thinking abilities between Android-based ...
Ari Septian +2 more
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