Results 21 to 30 of about 6,610,093 (192)
On Some Methods for Solution of Linear Diophantine Equations
Universal Journal of Mathematics and Applications, 2020 The paper considers a linear Diophantine equation. A method (algorithm) for finding a general class of solutions of equation is proposed. The proposed algorithm is explained by examples of equations with two and three variables, trying to direct the ...
Azam Imomov, Yorqin T. Khodjaev
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The general solution of the quantum Einstein equations? [PDF]
, 1996 We suggest how to interpret the action of the quantum Hamiltonian constraint of general relativity in the loop representation as a skein relation on the space of knots.
Gambini, Rodolfo, Pullin, Jorge
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Solutions of a System of Two Higher-Order Difference Equations in Terms of Lucas Sequence
Universal Journal of Mathematics and Applications, 2019 In this paper we give some theoretical explanations related to the representation for the general solution of the system of the higher-order rational difference equations $$ x_{n+1} = \frac{5 y_{n-k}-5}{y_{n-k}}, \qquad y_{n+1} = \frac{5 x_{n-k}-5}{x_{
Amira Khelifa +2 more
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Towards a general solution to the linear Heisenberg problem [PDF]
, 2003 The construction of a complete set of stationary states of the linear Heisenberg system with periodic boundary conditions (rings) has been a topic of intensive research for many decades.
Caspers, W.J. +3 more
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Ultrafunctions and Generalized Solutions [PDF]
Advanced Nonlinear Studies, 2013 Abstract The theory of distributions provides generalized solutions for problems which do not have a classical solution. However, there are problems which do not have solutions, not even in the space of distributions. As model problem you may think of
openaire +3 more sources
On a solvable class of nonlinear difference equations of fourth order
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider a class of nonlinear difference equations of the fourth order, which extends some equations in the literature. It is shown that the class of equations is solvable in closed form explaining theoretically, among other things, solvability of ...
Stevo Stevic +3 more
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On a two-dimensional solvable system of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Here we solve the following system of difference equations $$x_{n+1}=\frac{y_ny_{n-2}}{bx_{n-1}+ay_{n-2}},\quad y_{n+1}=\frac{x_nx_{n-2}}{dy_{n-1}+cx_{n-2}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c, d$ and initial values $x_{-j},$ $y_{-j}$, $j=
Stevo Stevic
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Choreographic solution to the general relativistic three-body problem [PDF]
, 2007 We revisit the three-body problem in the framework of general relativity. The Newtonian N-body problem admits choreographic solutions, where a solution is called choreographic if every massive particles move periodically in a single closed orbit.
C. Marchal +10 more
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Molecules, 2022 The crystallization of the poorly soluble drug nitrofurantoin (NFT) with 4-aminopyridine (4AmPy) resulted in three multicomponent solid forms with different hydration levels: anhydrous salt [NFT+4AmPy] (1:1), salt monohydrate [NFT+4AmPy+H2O] (1:1:1), and
Denis E. Boycov +4 more
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