Results 11 to 20 of about 38,463 (266)
The cubic vortical Whitham equation [PDF]
Wave Motion, 2022 The cubic-vortical Whitham equation is a model for wave motion on a vertically sheared current of constant vorticity in a shallow inviscid fluid. It generalizes the classical Whitham equation by allowing constant vorticity and by adding a cubic nonlinear term.
Carter, John +3 more
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Matrix approach to solve polynomial equations
Results in Applied Mathematics, 2023 Polynomials are widely employed to represent numbers derived from mathematical operations in nearly all areas of mathematics. The ability to factor polynomials entirely into linear components allows for a wide range of problem simplifications. This paper
Samir Brahim Belhaouari +2 more
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Results in Physics, 2021 The ancient Chinese algorithm, also known as the method of surplus and deficiency that has been used by He to find the angular frequency of nonlinear oscillators, is adapted to derive the approximate frequency-amplitude equations of undamped forced cubic,
Alex Elías-Zúñiga +3 more
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 The classic method of solving the cubic and the quartic equations using Tschirnhaus transformation yields true as well as false solutions. Recently some papers on this topic are published, in which methods are given to get only the true solutions of ...
Raghavendra G. Kulkarni
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An olympiadic system of equations
Lietuvos Matematikos Rinkinys, 2012 Solution of an olympiadic system with three variables is considered. Solution of cubic equations is discussed. Some advices for young olympiadists are given.
Jurgis Sušinskas +1 more
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Diagonal cubic equations. II [PDF]
Acta Arithmetica, 1989 [For part II, Acta Arith (to appear) see the preceding review.] Given positive integers \(\lambda _ 1,...,\lambda _ s\) with \(s=8\) or 9 it is known that the equation \(\lambda _ 1x\quad 3_ 1+...+\lambda _ sx\quad 3_ s=0\) is soluble in integers with \[ 0\quad
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Two multi-cubic functional equations and some results on the stability in modular spaces
Journal of Inequalities and Applications, 2020 In this article, we study n-variable mappings which are cubic in each variable. We also show that such mappings can be described by an equation, say, multi-cubic functional equation. Furthermore, we study the stability of such functional equations in the
Choonkil Park, Abasalt Bodaghi
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Equalities and inequalities for several variables mappings
Journal of Inequalities and Applications, 2022 In this paper, some special mappings of several variables such as the multicubic and the multimixed quadratic–cubic mappings are introduced. Then, the systems of equations defining a multicubic and a multimixed quadratic–cubic mapping are unified to a ...
Abasalt Bodaghi
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Physics Letters B, 2023 Einsteinian cubic gravity is a higher-order gravitational theory in which the linearized field equations of motion match Einstein's equations on a maximally symmetric background.
Antonio De Felice, Shinji Tsujikawa
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Characterization, stability and hyperstability of multi-quadratic–cubic mappings
Journal of Inequalities and Applications, 2021 In this paper, we unify the system of functional equations defining a multi-quadratic–cubic mapping to a single equation. Applying a fixed point theorem, we study the generalized Hyers–Ulam stability of multi-quadratic–cubic mappings.
Abasalt Bodaghi, Ajda Fošner
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