Results 21 to 30 of about 63,506 (264)
Dynamics of solutions of nonlinear functional differential equation of parabolic type [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2022 Purpose of this work is to study the initial-boundary value problem for a parabolic functional-differential equation in an annular region, which describes the dynamics of phase modulation of a light wave passing through a thin layer of a nonlinear Kerr ...
Kornuta, Anshelika Alexandrovna +1 more
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A new functional equation of Pexider type related to the complex exponential function [PDF]
Transactions of the American Mathematical Society, 1995 The purpose of this paper is to solve a new functional equation, characteristic for the complex exponential function, which contains four unknown entire functions and to solve, as an application, three further functional equations.
Haruki, Hiroshi +1 more
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The Complex WKB Method for Difference Equations and Airy Functions [PDF]
SIAM Journal on Mathematical Analysis, 2019 We consider the difference Schr{ö}dinger equation $ψ$(z + h) + $ψ$(z -- h) + v(z)$ψ$(z) = 0 where z is a complex variable, h > 0 is a parameter, and v is an analytic function. As h $\rightarrow$ 0 analytic solutions to this equation have a standard quasiclassical behavior near the points where v(z) = $\pm$2.
Alexander Fedotov, Frédéric Klopp
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Complex Monge–Ampère equations for plurifinely plurisubharmonic functions
Indagationes Mathematicae, 2023 This paper studies the complex Monge-Ampère equations for $\mathcal F$-plurisubharmonic functions in bounded $\mathcal F$-hyperconvex domains. We give sufficient conditions for this equation to solve for measures with a singular part.
Nguyen Xuan Hong +3 more
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Health as a space-time continuum
Journal of Education, Health and Sport, 2018 The purpose of work is to quantify the changes of the organism functional reserves during the successive phases of the human health Space-Time Continuum (STC) on the basis of postulates of reliability complex systems theory.
Anatolii Gozhenko +3 more
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Современные информационные технологии и IT-образование, 2021 The transition to Industry 4.0 highlights areas of research that require a qualitative description of a complex system, for example, a cyber-physical one, in the form of an adaptive dynamic model since the systems themselves are subject to change over ...
Alexander Vasilyev +5 more
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Bounds for the functional spectrum of operators in a Hilbert space [PDF]
Mathematica MoravicaLet H1 and H2 be Hilbert spaces with the unit operators I1 and I2, respectively, and Ajk be bounded operators acting from Hj into Hk (j, k = 1, 2). We consider the block operator matrices A = (Ajk) and F(z) = diag (Kˆj (z)Ij ), where Kˆ1(z) and Kˆ2(z ...
Gil' Michael
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Local Theory of Complex Functional Differential Equations [PDF]
Transactions of the American Mathematical Society, 1971 We consider the equation ( ∗
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Vibration Antiresonance Design for a Spacecraft Multifunctional Structure
Shock and Vibration, 2017 Spacecraft must withstand rigorous mechanical environment experiences such as acceleration, noise, vibration, and shock during the process of launching, satellite-vehicle separation, and so on.
Dong-Xu Li, Wang Liu, Dong Hao
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On Growth of Meromorphic Solutions of Complex Functional Difference Equations [PDF]
Abstract and Applied Analysis, 2014 The main purpose of this paper is to investigate the growth order of the meromorphic solutions of complex functional difference equation of the form(∑λ∈Iαλ(z)(∏ν=1nf(z+cν)lλ,ν))/(∑μ∈Jβμ(z)(∏ν=1nf(z+cν)mμ,ν))=Q(z,f(p(z))), whereI={λ=(lλ,1,lλ,2,…,lλ,n)∣lλ,ν∈ℕ⋃{0}, ν=1,2,…,n}andJ={μ=(mμ,1,mμ,2,…,mμ,n)∣mμ,ν∈ℕ⋃{0}, ν=1,2,…,n}are two finite index ...
Jing Li, Jianjun Zhang, Liangwen Liao
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