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Integration of Differential Equations by C∞-Structures [PDF]
, 2023 Several integrability problems of differential equations are addressed using the concept of a (Formula presented.) -structure, a recent generalization of the notion of solvable structure.
Adrián Ruiz +5 more
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Qualitative Behavior of the Solutions to Delay and Difference Equations
Вестник КазНУ. Серия математика, механика, информатика, 2018 It is noteworthy to observe that a first-order linear ordinary differential equation without delay does not possess oscillatory solutions. Therefore the investigation of oscillatory solutions is of interest for equations with delays or for the discrete
P. Ioannis
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On Complex Differential-Difference Equations of Malmquist Type
Journal of Mathematics, 2022 In this paper, we shall give some properties of complex differential-difference equation of the form ∑μ=1nαμz∏i=1tfz+ciai0μf′z+ciai1μ⋯fkiz+ciaikiμ/∑ν=1mβνz∏i=1tfz+cibi0νf′z+cibi1ν⋯fkiz+cibikiν=Rz,fz, where aijμ μ=1,2,…,n and bijνν=1,2,…,mi=1,2,…,t;j=0,1,…
Jianjun Zhang
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Growth of Solutions of Homogeneous Differential–Difference Equations
Computer Sciences & Mathematics Forum, 2023 In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane ∑j=0nAjzfjz+cj=0, n∈N+, where cj, j=0,...,n are complex numbers, and Aj(z), j=0, …, n are entire functions of ...
Hakima Lassal, Benharrat Belaϊdi
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On the stability of differential-difference equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1976 AbstractThe local properties of non-linear differential-difference equations are investigated by considering the location of the roots of the eigen-equation derived from the lineraised approximation of the original model. A general linear system incorporating one time delay is considered and local stability results are obtained for cases in which the ...
Braddock, R. D., van den Driessche, P.
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Electronic Journal of Qualitative Theory of Differential Equations, 2020 We study the size of the global attractor for a delay differential equation with unimodal feedback. We are interested in extending and complementing a dichotomy result by Liz and Röst, which assumed that the Schwarzian derivative of the nonlinear ...
Daniel Franco +3 more
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Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE +3 more
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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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On an integrable differential-difference equation with a source
Journal of Nonlinear Mathematical Physics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gegenhasi, Hu, Xing-Biao
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Periodic Differential Difference Equations
Journal of Mathematical Analysis and Applications, 1966 This chapter presents the periodic differential difference equations. It presents a scalar equation x ( t ) = ( t ) x ( t – Δ j ), where the p j are continuous real-valued periodic functions of period w and 0 = Δ 0 1 n . In the usual way, x t = x ( t, θ, ζ, τ ) for θ ∈ [ , 0] and t ≥ τ denotes an element of C [− Δ n , 0], and ...
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