Results 21 to 30 of about 692,743 (288)
Mathematics, 2022 This paper examines the numerical solutions of the neutral stochastic functional differential equation. This study establishes the discrete stochastic Razumikhin-type theorem to investigate the exponential stability in the mean square sense of the Euler ...
Qi Wang, Huabin Chen, Chenggui Yuan
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Stability of the Exponential Functional Equation in Riesz Algebras
Abstract and Applied Analysis, 2014 We deal with the stability of the exponential Cauchy functional equation F(x+y)=F(x)F(y) in the class of functions F:G→L mapping a group (G, +) into a Riesz algebra L. The main aim of this paper is to prove that the exponential Cauchy functional equation
Bogdan Batko
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A refined factorization of the exponential law
, 2010 Let $\xi$ be a (possibly killed) subordinator with Laplace exponent $\phi$ and denote by $I_{\phi}=\int_0^{\infty}\mathrm{e}^{-\xi_s}\,\mathrm{d}s$, the so-called exponential functional.
Patie, P.
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Functional differential equations with infinite delay in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, a definition of the fundamental operator for the linear autonomous functional differential equation with infinite delay in a Banach space is given, and some sufficient and necessary conditions of the fundamental operator being ...
Jin Liang, Tijun Xiao
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Exponentiation in power series fields
, 1996 We prove that for no nontrivial ordered abelian group G, the ordered power series field R((G)) admits an exponential, i.e. an isomorphism between its ordered additive group and its ordered multiplicative group of positive elements, but that there is a ...
Kuhlmann, Franz-Viktor +2 more
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Relaxation rate, diffusion approximation and Fick's law for inelastic scattering Boltzmann models [PDF]
, 2008 We consider the linear dissipative Boltzmann equation describing inelastic interactions of particles with a fixed background. For the simplified model of Maxwell molecules first, we give a complete spectral analysis, and deduce from it the optimal rate ...
Bertrand Lods +3 more
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Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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The Reversed q-Exponential Functional Relation
, 1997 After obtaining some useful identities, we prove an additional functional relation for $q$ exponentials with reversed order of multiplication, as well as the well known direct one in a completely rigorous manner.Comment: 6 pages, LaTeX, no ...
Cigler J +4 more
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Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique
Abstract and Applied Analysis, 2010 This paper develops some new Razumikhin-type theorems on global exponential stability of impulsive functional differential equations. Some applications are given to impulsive delay differential equations.
Shiguo Peng, Liping Yang
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