Results 11 to 20 of about 123 (69)
On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
wiley +1 more source
Interval-valued functional integro-differential equations
Advances in Differential Equations, 2014 This paper is devoted to studying the local and global existence and uniqueness results for interval-valued functional integro-differential equations (IFIDEs).
N. Hoa +3 more
semanticscholar +2 more sources
The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam
Nonautonomous Dynamical Systems, 2023 In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays.
Graef John R. +3 more
doaj +1 more source
Advances in Differential Equations, 2013 Of concern is the existence of mild solutions to delay fractional differential equations with almost sectorial operators. Combining the techniques of operator semigroup, noncompact measures and fixed point theory, we obtain a new existence theorem ...
Fang Li
semanticscholar +2 more sources
Nonautonomous Dynamical Systems, 2022 In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a
Elazzouzi Abdelhai +2 more
doaj +1 more source
Advances in Differential Equations, 2013 In this study, we consider the interval-valued integro-differential equations (IIDEs) under generalized H-differentiability DHgX(t)=F(t,X(t))+∫t0tG(t,s,X(s))ds,X(t0)=X0∈KC(R).
Vinh An Truong, V. Ngo, Dinh Phu Nguyen
semanticscholar +2 more sources
Nonautonomous Dynamical Systems, 2021 Let Bj(t) (j = 1,..., m) and B(t, τ) (t ≥ 0, 0 ≤ τ ≤ 1) be bounded variable operators in a Banach space. We consider the equation u′(t)=∑k=1mBk(t)u(t-hk(t))+∫01B(t,τ)u(t-h0(τ))dτ (t≥0),u'\left( t \right) = \sum\limits_{k = 1}^m {{B_k}\left( t \right)u\
Gil’ Michael
doaj +1 more source
Interval-valued functional differential equations under dissipative conditions
Advances in Differential Equations, 2014 A new concept of inner product on the space of compact convex subsets of ℝ is introduced. Using this inner product we investigate the global existence and uniqueness of the solution of interval-valued functional differential equations.
N. Phu, Truong Vinh An, N. Hoa, N. Hien
semanticscholar +2 more sources
Boundary Value Problems, 2013 Using the Kuratowski measure of noncompactness and progressive estimation method, we obtain the existence results of mild solutions for impulsive partial neutral second-order functional integro-differential equations with infinite delay in Banach spaces.
S. Xie
semanticscholar +2 more sources
HYBRID DELAY EVOLUTION SYSTEMS WITH NONLINEAR CONSTRAINTS
Dynamic systems and applications, 2018 Motivated by the importance of reaction-diffusion systems in modeling real processes with memory, we are interested in the existence of mild solutions for systems of abstract delay evolution equations subjected to general nonlinear constraints.
Octavia-Maria Bolojan, Radu Precup
semanticscholar +1 more source