Results 51 to 60 of about 78,766 (164)
Polytropic stars in Palatini gravity
We have derived a modified Lane–Emden equation for the Starobinsky model in Palatini gravity which is numerically solvable. Comparing the results to the ones provided by General Relativity we observe a significant difference depending on the theory ...
Aneta Wojnar
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On a solvable three-dimensional system of difference equations [PDF]
In this paper, we show that the following three-dimensional system of difference equations xn = zn-2xn-3/axn-3 + byn-1, yn = xn-2yn-3/cyn-3 + dzn-1, zn = yn-2zn-3/ezn-3+ fxn-1, n ? N0, where the parameters a, b, c, d, e, f and the initial values x-i, y-i, z-i, i ? {1, 2, 3}, are real numbers, can be solved, extending further some results in
Kara, Merve, Yazlık, Yasin
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An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation
In this work, the MMC-TDGL equation, a stochastic Cahn-Hilliard equation is solved numerically by using the finite difference method in combination with a convex splitting technique of the energy functional.
Li, Xiao, Qiao, Zhonghua, Zhang, Hui
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Multi-indexed (q-)Racah Polynomials [PDF]
As the second stage of the project multi-indexed orthogonal polynomials, we present, in the framework of `discrete quantum mechanics' with real shifts in one dimension, the multi-indexed (q-)Racah polynomials.
Andrews G E +24 more
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On solvability of some difference-discrete equations
Summary: Multidimensional difference equations in a discrete half-space are considered. Using the theory of periodic Riemann problems a general solution and solvability conditions in discrete Lebesgue spaces are obtained. Some statements of boundary value problems of discrete type are given.
Vasilyev, A. V., Vasilyev, V. B.
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Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory [PDF]
We consider IIA compactifications on solvmanifolds with O6/D6 branes and study the conditions for obtaining de Sitter vacua in ten dimensions. While this is a popular set-up for searching de Sitter vacua, we propose a new method to include supersymmetry ...
Andriot, David +3 more
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New Fundamental Symmetries of Integrable Systems and Partial Bethe Ansatz [PDF]
We introduce a new concept of quasi-Yang-Baxter algebras. The quantum quasi-Yang-Baxter algebras being simple but non-trivial deformations of ordinary algebras of monodromy matrices realize a new type of quantum dynamical symmetries and find an ...
A.G. Ushveridze +46 more
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ON SOLVABILITY OF ONE DIFFERENCE EQUATION
We consider a system of difference equation similar to those that appear as description of cumulative sums. Using Hamel bases, we construct pathological solutions to this system for constant right-hand sides. Also we show that bounded so- lutions do not exist for non-zero right-hand sides, while only constants can be solutions in the homogeneous case.
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Second order q-difference equations solvable by factorization method
By solving an infinite nonlinear system of $q$-difference equations one constructs a chain of $q$-difference operators. The eigenproblems for the chain are solved and some applications, including the one related to $q$-Hahn orthogonal polynomials, are discussed.
Dobrogowska, Alina, Odzijewicz, Anatol
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Solvability of a Second Order Nonlinear Neutral Delay Difference Equation [PDF]
This paper studies the second‐order nonlinear neutral delay difference equation , n ≥ n0. By means of the Krasnoselskii and Schauder fixed point theorem and some new techniques, we get the existence results of uncountably many bounded nonoscillatory, positive, and negative solutions for the equation, respectively.
Zeqing Liu +3 more
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