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Theory of nth-order linear general quantum difference equations [PDF]
In this paper, we derive the solutions of homogeneous and non-homogeneous nth-order linear general quantum difference equations based on the general quantum difference operator Dβ $D_{\beta }$ which is defined by Dβf(t)=(f(β(t))−f(t))/(β(t)−t) $D_{\beta }
Nashat Faried +2 more
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Modeling the stress-strain state of variable-thickness composite shells and plates [PDF]
A model for calculating the stress-strain state of variablethickness composite shells has been developed, based on assumptions such us the classical theory of Timoshenko-Mindlin shells. In the proposed model, the plate thickness is given by a function of
Dimitrienko Yu., Zakharova Yu.
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In general, due to the nature of the Lie group theory, symmetry analysis is applied to single equations rather than boundary value problems. In this paper boundary value problems for the sine-Gordon equations under the group of Lie point symmetries are ...
O. Yildirim, S. Caglak
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On solvability of some difference-discrete equations [PDF]
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.
Alexander V. Vasilyev +1 more
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NUMERICAL ANALYSIS OF THE CAUCHY PROBLEM FOR A WIDE CLASS FRACTAL OSCILLATORS [PDF]
The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numerical investigation is carried out using the theory of finite-difference schemes.
R. I. Parovik
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General theory of linear difference equations [PDF]
The theory of lirlear diflerence equations with ratiollal coefficients was in a very backward state until POINCARG t in 1882 developed the notion of asymptotic representation, and its application to this brallch of mathematics. Further important progress ill this direction has been made only very recently, notably by GALBRUN,?
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On Correctness of Cauchy problem for a Polynomial Difference Operator with Constant Coefficients
The theory of linear difference equations is applied in various areas of ma\-the\-matics and in the one-dimensional case is quite established. For $n>1$, the situation is much more difficult and even for the constant coefficients a general description of
M. S. Apanovich, E.K. Leinartas
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On the Discrete Version of the Schwarzschild Problem
We consider a Schwarzschild type solution in the discrete Regge calculus formulation of general relativity quantized within the path integral approach. Earlier, we found a mechanism of a loose fixation of the background scale of Regge lengths.
Vladimir Khatsymovsky
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A general theory of finite state Backward Stochastic Difference Equations
25 pages, final preprint prior to ...
Cohen, S., Elliott, R.
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Chaotification schemes for first-order partial difference equations via sawtooth functions
This paper is concerned with chaotification problems of first-order partial difference equations with non-period boundary conditions. Two chaotification schemes for the difference equations via sawtooth functions are established, and all the controlled ...
LIANG Wei, SHI Yuming
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