Results 31 to 40 of about 2,673 (255)
Solvability and Dynamical Analysis of Difference Equations
International Journal of Analysis and Applications, 2023 We obtain symmetries of a family of difference equations and we prove a relationship between these symmetries and similarity variables. We proceed with reduction and eventually derive formula solutions of the difference equations. Furthermore, we discuss the periodic nature of the solutions and analyze the stability of the fixed points.
openaire +2 more sources
General k-Dimensional Solvable Systems of Difference Equations [PDF]
Symmetry, 2017 The solvability of a k-dimensional system of difference equations of interest, which extends several recently studied ones, is investigated. A general sufficient condition for the solvability of the system is given, considerably extending some recent results in the literature.
openaire +2 more sources
ON THE DIFFERENCE EQUATION ASSOCIATED WITH THE DOUBLY PERIODIC GROUP AND ITS APPLICATIONS
Проблемы анализа, 2020 Let D be a rectangle. We consider a four-element linear difference equation defined on D. The shifts of this equation are the generating transformations of the corresponding doubly periodic group and their inverse transformations.
F. N. Garif’yanov, E. V. Strezhneva
doaj +1 more source
Note on the binomial partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Some formulas for the "general solution" to the binomial partial difference equation $$c_{m,n}=c_{m-1,n}+c_{m-1,n-1},$$ are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation ...
Stevo Stevic
doaj +1 more source
Solvable subclasses of a class of nonlinear second-order difference equations
Advances in Nonlinear Analysis, 2016 We present some solvable subclasses of the class of nonlinear second-order difference equations of the form Axn+1 + Bxn+1xn + Cxnxn-1 + Gxn+1xn-1 + Dxn + Exn-1 + F = 0, n ∈ ℕ0, where the parameters A, B, C, D, E, F, G and the initial values x-1,x0 are ...
Stević Stevo
doaj +1 more source
Sixteen practically solvable systems of difference equations [PDF]
Advances in Difference Equations, 2019 AbstractClosed-form formulas for general solutions to sixteen hyperbolic-cotangent-type systems of difference equations of interest are obtained, showing their practical solvability and completely solving a solvability problem for some concrete values of delays.
openaire +3 more sources
Polytropic stars in Palatini gravity
European Physical Journal C: Particles and Fields, 2019 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
doaj +1 more source
On a solvable three-dimensional system of difference equations [PDF]
Filomat, 2020 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
openaire +4 more sources
On solvability of some difference-discrete equations
Opuscula Mathematica, 2016 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.
openaire +2 more sources
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Patients with ovarian cancer often present with massive ascites, leading to significant protein loss during surgical procedures. Although cell‐free concentrated ascites reinfusion therapy (CART) is used in palliative settings to mitigate protein loss, its application in intraoperative settings remains unexplored.
Yutaka Yoneoka +7 more
wiley +1 more source