Results 11 to 20 of about 692,743 (288)
INCOMPLETE EXPONENTIAL SUMS OVER EXPONENTIAL FUNCTIONS [PDF]
The Quarterly Journal of Mathematics, 2014 We extend some methods of bounding exponential sums of the type $\displaystyle\sum_{n\le N}e^{2 iag^n/p}$ to deal with the case when $g$ is not necessarily a primitive root. We also show some recent results of Shkredov concerning additive properties of multiplicative subgroups imply new bounds for the sums under consideration.
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Computation, 2021 The issue of the robust exponential passivity analysis for uncertain neutral-type neural networks with mixed interval time-varying delays is discussed in this work. For our purpose, the lower bounds of the delays are allowed to be either positive or zero
Nayika Samorn +3 more
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Stability of Exponential Functional Equations with Involutions
Journal of Function Spaces, 2014 Let S be a commutative semigroup if not otherwise specified and f:S→ℝ. In this paper we consider the stability of exponential functional equations |f(x+σ(y))-g(x)f(y)|≤ϕ(x) or ϕ(y), |f(x+σ(y))-f(x)g(y)|≤ϕ(x) or ϕ(y) for all x,y∈S and where σ:S→S is an ...
Jaeyoung Chung, Soon-Yeong Chung
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Impulsive Stability of Stochastic Functional Differential Systems Driven by G-Brownian Motion
Mathematics, 2020 This paper is concerned with the p-th moment exponential stability and quasi sure exponential stability of impulsive stochastic functional differential systems driven by G-Brownian motion (IGSFDSs).
Lijun Pan, Jinde Cao, Yong Ren
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International Journal of Computational Intelligence Systems, 2022 This paper mainly studies the exponential synchronization issue for the inertial complex-valued fuzzy cellular neural networks (ICVFCNNs) with time-varying delays via periodically intermittent control. To achieve exponential synchronization, we use a non-
Pan Wang, Xuechen Li, Tianwei Zhang
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Exponential Stability of Impulsive Stochastic Functional Differential Systems
Abstract and Applied Analysis, 2012 This paper is concerned with stabilization of impulsive stochastic delay differential systems. Based on the Razumikhin techniques and Lyapunov functions, several criteria on pth moment and almost sure exponential stability are established.
Zheng Wu, Hao Huang, Lianglong Wang
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Fractal and Fractional, 2022 This paper investigates the global exponential stability of fractional order complex-valued neural networks with leakage delay and mixed time varying delays.
M. Hymavathi +5 more
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Ulam’s Type Stability of Involutional-Exponential Functional Equations
Abstract and Applied Analysis, 2014 Let S be a commutative semigroup, f,g:S→C and σ:S→S an involution. In this paper we consider the stability of involution-exponential functional equations fx+σy-gxfy≤ϕxresp., ϕy, |f(x+σy)-f(x)g(y)|≤ϕ(x) [resp., ϕ(y)] for all x,y∈S, where ϕ:S→R ...
Jaeyoung Chung
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Open Mathematics, 2019 This work is mainly concerned with the exponential stability of time-changed stochastic functional differential equations with Markovian switching. By expanding the time-changed Itô formula and the Razumikhin theorem, we obtain the exponential stability ...
Zhang Xiaozhi, Yuan Chenggui
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A Wiener-Hopf Type Factorization for the Exponential Functional of Levy Processes [PDF]
, 2012 For a L\'evy process $\xi=(\xi_t)_{t\geq0}$ drifting to $-\infty$, we define the so-called exponential functional as follows \[{\rm{I}}_{\xi}=\int_0^{\infty}e^{\xi_t} dt.\] Under mild conditions on $\xi$, we show that the following factorization of ...
Milan, Juan Carlos Pardo +2 more
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