Results 41 to 50 of about 8,614,380 (320)
IEEE Access, 2022 A new technique of the Adomian decomposition method is developed and applied in this research article to solve two-term diffusion wave and fractional telegraph equations with initial-boundary conditions.
Hajira +6 more
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Optimising a nonlinear utility function in multi-objective integer programming [PDF]
, 2012 In this paper we develop an algorithm to optimise a nonlinear utility function of multiple objectives over the integer efficient set. Our approach is based on identifying and updating bounds on the individual objectives as well as the optimal utility ...
A. Przybylski +22 more
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Generalized Pell Equations for 2 × 2 Matrices
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we consider the solutions of the generalized matrix Pell equations X2 − dY2 = cI, where X and Y are 2 × 2 matrices over ℤ, d is a non-zero (positive or negative) square-free integer, c is an arbitrary integer and I is the 2 × 2 identity ...
Cohen Boaz
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Asymptotic estimates for the number of integer solutions to decomposable form inequalities [PDF]
Compositio Mathematica, 2003 For homogeneous decomposable forms F(X) in n variables with integer coefficients, we consider the number of integer solutions ${\bf x}\in\mathbb{Z}^n$ to the inequality $|F({\bf x})|\le m$ as $m\rightarrow\infty$.
J. L. Thunder
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Algorithms for Highly Symmetric Linear and Integer Programs [PDF]
, 2011 This paper deals with exploiting symmetry for solving linear and integer programming problems. Basic properties of linear representations of finite groups can be used to reduce symmetric linear programming to solving linear programs of lower dimension ...
E.J. Friedman +12 more
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Exact solution of the two-axis countertwisting Hamiltonian for the half-integer $J$ case
, 2016 Bethe ansatz solutions of the two-axis countertwisting Hamiltonian for any (integer and half-integer) $J$ are derived based on the Jordan-Schwinger (differential) boson realization of the $SU(2)$ algebra after desired Euler rotations, where $J$ is the ...
Draayer, Jerry P. +2 more
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Polynomial solutions of the Knizhnik-Zamolodchikov equations and Schur-Weyl duality [PDF]
, 2006 An integral formula for the solutions of Knizhnik-Zamolodchikov (KZ) equation with values in an arbitrary irreducible representation of the symmetric group S_N is presented for integer values of the parameter.
Felder, Giovanni, Veselov, Alexander P.
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The integer solutions of the cubic Diophantine equation x3±33=pqy2
Xi'an Gongcheng Daxue xuebao, 2021 The solvability of a class of cubic Diophantine equations is studied by using properties of congruence, Legendre symbol and the methods of elementary number theory.
Heng LI, Hai YANG, Yongliang LUO
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Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers
Discrete Dynamics in Nature and Society, 2011 This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three)
Li He, Wanping Liu
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Entropy, 2019 In the present article, we related the analytical solution of the fractional-order dispersive partial differential equations, using the Laplace–Adomian decomposition method.
Rasool Shah +3 more
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