Results 81 to 90 of about 3,180,013 (158)

A singular perturbation problem in integrodifferential equations

Electronic Journal of Differential Equations, 1993
Consider the singular perturbation problem for $$varepsilon ^2 u'' (t;varepsilon ) + u'(t;varepsilon ) = Au(t;varepsilon )+int_0^t K(t-s)Au(s;varepsilon),ds+ f(t;varepsilon ),,$$ where $tgeq 0$, $u(0;varepsilon ) = u_0 (varepsilon )$, $u'(0;varepsilon ) =
James Liu
doaj  

Existence and asymptotic stability of periodic solutions for a class of neutral delayed evolution equation

Demonstratio Mathematica
The purpose of this work is to study the existence and asymptotic stability of ω-periodic mild solutions to a class of neutral delayed evolution equation in Banach space X ddt(z(t)−cz(t−δ))+A(z(t)−cz(t−δ))=f(t,z(t),z(t−τ)),t∈R, $$\frac{\text{d}}{\mathrm ...
Yang Shengbin, Li Yongxiang, Wang Dan
doaj   +1 more source

Well-posedness and stability analysis of hybrid feedback systems using Shkalikov's theory [PDF]

Opuscula Mathematica, 2006
The modern method of analysis of the distributed parameter systems relies on the transformation of the dynamical model to an abstract differential equation on an appropriately chosen Banach or, if possible, Hilbert space.
Piotr Grabowski
doaj  

Weighted asymptotic behavior of solutions to semilinear integro-differential equations in Banach spaces

Electronic Journal of Differential Equations, 2014
In this article, we study weighted asymptotic behavior of solutions to the semilinear integro-differential equation $$ u'(t)=Au(t)+\alpha\int_{-\infty}^{t}e^{-\beta(t-s)}Au(s)ds+f(t,u(t)), \quad t\in \mathbb{R}, $$ where $\alpha, \beta \in \mathbb ...
Yan-Tao Bian, Yong-Kui Chang, Juan J. Nieto   +2 more
doaj  

Monotone iterative method for retarded evolution equations involving nonlocal and impulsive conditions

Electronic Journal of Differential Equations, 2020
In this article, we apply the perturbation technique and monotone iterative method in the presence of the lower and the upper solutions to discuss the existence of the minimal and maximal mild solutions to the retarded evolution equations involving ...
Xuping Zhang, Pengyu Chen, Yongxiang Li
doaj  

Stability for trajectories of periodic evolution families in Hilbert spaces

Electronic Journal of Differential Equations, 2014
Let $q$ be a positive real number and let $A(\cdot)$ be a $q$-periodic linear operator valued function on a complex Hilbert space $H$, and let $D$ be a dense linear subspace of $H$.
Dorel Barbu, Joel Blot, Constantin Buse, Olivia Saierli   +3 more
doaj  

Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]

J Math Biol, 2023
Walker C.
europepmc   +1 more source

An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators. [PDF]

Heliyon, 2023
Ma YK, Pradeesh J, Shukla A, Vijayakumar V, Jothimani K.   +4 more
europepmc   +1 more source

Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source

Ramifications of generalized Feller theory. [PDF]

J Evol Equ
Cuchiero C, Möllmann T, Teichmann J.
europepmc   +1 more source