SOLUTION TO A PARABOLIC DIFFERENTIAL EQUATION IN HILBERT SPACE VIA FEYNMAN FORMULA I
Моделирование и анализ информационных систем, 2015 A parabolic partial differential equation u′t (t, x) = Lu(t, x) is considered, where L is a linear second-order differential operator with time-independent coefficients, which may depend on x. We assume that the spatial coordinate x belongs to a finiteor
I. D. Remizov
doaj +1 more source
On the approximation theorem of Wong-Zakai type for the Lasota operator [PDF]
Opuscula Mathematica, 2010 We consider in this paper a stochastic evolution equation with Professor A. Lasota's operator as the infinitesimal generator of a strongly continuous semigroup of transformations and with Hammerstein operator connected with a noise being the Wiener ...
Antoni Leon Dawidowicz +1 more
doaj +1 more source
Weak and strong solutions for a fluid‐poroelastic‐structure interaction via a semigroup approach [PDF]
Mathematical methods in the applied sciencesA filtration system comprising a Biot poroelastic solid coupled to an incompressible Stokes free‐flow is considered in 3D. Across the flat 2D interface, the Beavers‐Joseph‐Saffman coupling conditions are taken. In the inertial, linear, and non‐degenerate
G. Avalos, E. Gurvich, J. Webster
semanticscholar +1 more source
On the asymptotic behaviour of semigroups for flows in infinite networks
, 2021 We study transport processes on infinite networks. The solution of these processes can be modeled by an operator semigroup on a suitable Banach space. Classically, such semigroups are strongly continuous and therefore their asymptotic behaviour is quite ...
Dobrick, Alexander
core +1 more source
A semigroup analogue of the Fonf–Lin–Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis [PDF]
In analogy to a recent result by V. Fonf, M. Lin, and P. Wojtaszczyk, we prove the following characterizations of a Banach space $X$ with a basis. (i) $X$ is finite-dimensional if and only if every bounded, uniformly continuous, mean ergodic semigroup on
Delio Mugnolo
semanticscholar +1 more source
Smarandache Fuzzy Algebra [PDF]
, 2003 groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy +2 more
core +1 more source
Boundary controllability of impulsive nonlinear fractional delay integro-differential system
Cogent Engineering, 2016 By using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces.
Hamdy M. Ahmed
doaj +1 more source
Research on the Reliability of a Two-Robot Security System with Early Warning Function
Journal of Mathematics, 2023 In this paper, the mathematical model of a kind of two-robot security system with an early warning function is studied. By using strongly continuous operator semigroup theory and Volterra integral equation theory, the properties of the semigroup of the ...
Yuhong Cui, Youde Tao, Zongyang Li
doaj +1 more source
Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations
Abstract and Applied Analysis, 2014 The existence of piecewise almost periodic solutions for impulsive neutral functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly ...
Junwei Liu, Chuanyi Zhang
doaj +1 more source
Subordination Principle for a Class of Fractional Order Differential Equations
Mathematics, 2015 The fractional order differential equation \(u'(t)=Au(t)+\gamma D_t^{\alpha} Au(t)+f(t), \ t>0\), \(u(0)=a\in X\) is studied, where \(A\) is an operator generating a strongly continuous one-parameter semigroup on a Banach space \(X\), \(D_t^{\alpha}\)
Emilia Bazhlekova
doaj +1 more source