Results 11 to 20 of about 380,567 (310)
Nonlocal Integro-Differential Equations of the Second Order with Degeneration
Mathematics, 2020 We study the solvability for boundary value problems to some nonlocal second-order integro–differential equations that degenerate by a selected variable.
Aleksandr I. Kozhanov
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Difference equations with impulses [PDF]
Opuscula Mathematica, 2019 Difference equations with impulses are studied focussing on the existence of periodic or bounded orbits, asymptotic behavior and chaos. So impulses are used to control the dynamics of the autonomous difference equations.
Marius Danca +2 more
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Unbounded rational systems with nonconstant coefficients
Nonautonomous Dynamical Systems, 2022 We show the existence of unbounded solutions to difference equations of the form {xn+1=c′nxnBnyn,yn+1=bnxn+cnynAn+Cnyn for n=0,1,…,\left\{ {\matrix{{{x_{n + 1}} = {{{{c'}_n}{x_n}} \over {{B_n}{y_n}}},} \hfill \cr {{y_{n + 1}} = {{{b_n}{x_n} + {c_n}
Kudlak Zachary, Vernon R. Patrick
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A rational difference equation
Computers & Mathematics with Applications, 2001 The authors investigate the nonlinear rational difference equation \[ x_{n+1}= (\alpha x_n+ \beta x_{n-1})/(A+x_{n-1}),\;n=0,1,2,\dots, \tag{*} \] where the parameters \(\alpha,\beta\) and \(A\) and the initial conditions \(x_{-1}\) and \(x_0\) are nonnegative real numbers.
Kulenović, M. R.S. +2 more
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Three complex differential-difference equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we propose three complex differential-difference equations related to the integrable differential-difference equations.
Hasi Gegen, Xing-Biao Hu
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008 Construction stochastic difference equations connecting results of supervision of instant values of dynamic processes described by special equation Ricatti, is considered.
A. S. Ovsienko +1 more
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On generalized difference equations [PDF]
Applications of Mathematics, 1987 The authors consider linear difference equations with several independent variables, the solutions of which are functions defined on sets of n- dimensional vectors with integer coordinates. Existence and uniqueness theorems are formulated and proved for these equations.
Jiří Gregor, Miroslav Bosák
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On a Difference-Delay Equation
Journal of Mathematical Analysis and Applications, 2000 The behaviour of continuous real solutions \(f(t)\) to the equation \[ f(t)=a_1f(t+h_1) +a_2f(t+h_2) \] and its dependence on the real positive constants \(a_1,a_2, h_1,h_2\) is studied. Definite answers are given except in the case \(h_1/h_2\) is rational.
Adam Ostaszewski, Roy O. Davies
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Transformations of Difference Equations II
Advances in Difference Equations, 2010 This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-dependent boundary conditions at the end points.
Currie Sonja, Love AnneD
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Axioms, 2021 This article is to investigate the existence of entire solutions of several quadratic trinomial difference equations f(z+c)2+2αf(z)f(z+c)+f(z)2=eg(z), and the partial differential difference equations f(z+c)2+2αf(z+c)∂f(z)∂z1+∂f(z)∂z12=eg(z),f(z+c)2+2αf ...
Hong Li, Hongyan Xu
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