Results 1 to 10 of about 692,743 (288)
Exponential stability results for variable delay difference equations [PDF]
Opuscula Mathematica, 2021 Sufficient conditions that guarantee exponential decay to zero of the variable delay difference equation \[x(n+1)=a(n)x(n)+b(n)x(n-g(n))\] are obtained. These sufficient conditions are deduced via inequalities by employing Lyapunov functionals.
Ernest Yankson
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Cubo, 2021 Inequalities and sufficient conditions that lead to exponential stability of the zero solution of the variable delay nonlinear Volterra difference equation (Formula Presented) are obtained.
Ernest Yankson
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On superstability of exponential functional equations
Journal of Inequalities and Applications, 2021 The aim of this paper is to prove the superstability of the following functional equations: f ( P ( x , y ) ) = g ( x ) h ( y ) , f ( x + y ) = g ( x ) h ( y ) . $$\begin{aligned}& f \bigl(P(x,y) \bigr)= g(x)h(y), \\& f(x+y)=g(x)h(y). \end{aligned}$$
Batool Noori +4 more
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The Cauchy Exponential of Linear Functionals on the Linear Space of Polynomials
Mathematics, 2023 In this paper, we introduce the notion of the Cauchy exponential of a linear functional on the linear space of polynomials in one variable with real or complex coefficients using a functional equation by using the so-called moment equation. It seems that
Francisco Marcellán, Ridha Sfaxi
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On distributions of exponential functionals of the processes with independent increments
Modern Stochastics: Theory and Applications, 2020 The aim of this paper is to study the laws of exponential functionals of the processes $X={({X_{s}})_{s\ge 0}}$ with independent increments, namely \[ {I_{t}}={\int _{0}^{t}}\exp (-{X_{s}})ds,\hspace{0.1667em}\hspace{0.1667em}t\ge 0,\] and also \[ {I_ ...
Lioudmila Vostrikova
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Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations
Mathematics, 2022 This paper focuses on the problem of the pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs).
Yunfeng Li, Pei Cheng, Zheng Wu
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Distributional properties of exponential functionals of Levy processes [PDF]
, 2012 We study the distribution of the exponential functional $I(\xi,\eta)=\int_0^{\infty} \exp(\xi_{t-}) \d \eta_t$, where $\xi$ and $\eta$ are independent L\'evy processes.
Kuznetsov, A., Pardo, J. C., Savov, M.
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Exponential rings, exponential polynomials and exponential functions [PDF]
Pacific Journal of Mathematics, 1984 An exponential ring is a pair (R,E), where R is a commutative ring with unit 1 and \(E: (R,+)\to U\) (the multiplicative group of units in R) satisfying \(E(x+y)=E(x)E(y)(x,y\in R),E(0)=1.\) In preparation for proving that each subset of \({\mathbb{R}}^ 2\) definable (with parameters) in the language of exponential rings has finitely many connected ...
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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QUANTUM EXPONENTIAL FUNCTION [PDF]
Reviews in Mathematical Physics, 2000 A special function playing an essential role in the construction of quantum "ax+b"-group is introduced and investigated. The function is denoted by Fℏ(r,ϱ), where ℏ is a constant such that the deformation parameter q2=e-iℏ. The first variable r runs over non-zero real numbers; the range of the second one depends on the sign of r: ϱ=0 for r>0 and ϱ=±
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