Results 71 to 80 of about 42,543 (276)
Existence of almost periodic solution for neutral Nicholson blowflies model
This paper is concerned with a class of neutral Nicholson blowflies models with leakage delays and linear harvesting terms. Under appropriate conditions, some criteria are established for the existence and global exponential stability of almost periodic ...
Hui Zhou, Praveen Agarwal
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Admissible perturbations of exponential dichotomy roughness
Consider the linear system \((*)\) \(dx/dt = A(t)x\) and the perturbed system \((**)\) \(dy/dt = (A(t)+ B(t))y\). It is assumed that \((*)\) has an exponential dichotomy. The authors derive conditions on the dichotomy constants and the norm \(| | B| | _\infty\) of the perturbation such that the exponential dichotomy of \((*)\) implies an ordinary or ...
Naulin, Raúl, Pinto Jiménez, Manuel
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Stabilizability of systems with exponential dichotomy [PDF]
Linear time-varying finite dimensional systems of the form \(\dot x(t)=A(t)x(t)+B(t)u(t)\), B, C are continuous real valued matrices, are considered. If \({\mathcal V}\) denotes a linear subspace of the function space of free motions \(\{\) x(\(\cdot)| \dot x=Ax\}\) the concept of controllability of the free trajectories into \({\mathcal V}\) is ...
Ilchmann, Achim, Kern, Günter
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We have developed DEX/GM, an all‐natural, personalizable hybrid vaccine designed by coating dendritic cell‐derived exosomes (DEX) onto tumor cell membranes (GM) for sustained prophylaxis against glioblastoma (GBM). ABSTRACT Glioblastoma (GBM), one of the most aggressive and lethal brain tumors, remains incurable with a poor clinical prognosis.
Shanshan Li +6 more
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It is well known that differential equations with piecewise constant arguments is a class of functional differential equations, which has fascinated many scholars in recent years.
Zonghong Feng, Yong Wang, Xin Ma
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Evolutionary semigroups and Lyapunov theorems in Banach spaces [PDF]
The final version of this paper appears in: "Journal of Differential Equations" 125 (1996): 73-116. Print.We study evolutionary semigroups generated by a strongly continuous semi-cocycle over a locally compact metric space acting on Banach fibers.
Latushkin, Yuri, 1956- +1 more
core
Exponential Dichotomies for Elliptic PDE on Radial Domains [PDF]
It was recently shown by the authors that a semilinear elliptic equation can be represented as an infinite-dimensional dynamical system in terms of boundary data on a shrinking one-parameter family of domains. The resulting system is ill-posed, in the sense that solutions do not typically exist forward or backward in time.
Beck, Margaret +4 more
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A dual‐layer living hydrogel, ProΦGel, integrates bacteriophages and probiotics for synergistic wound infection therapy. The outer gelatin‐based matrix releases phages on demand in response to P. aeruginosa infections, while inner alginate beads sustain probiotic delivery.
Siyuan Tao +6 more
wiley +1 more source
On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces
The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Ba- nach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated ...
Kovács Monteola Ilona +2 more
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In this paper, cellular neural networks (CNNs) with neutral type delays and time-varying leakage delays are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the ...
Changjin Xu +3 more
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