Results 101 to 110 of about 3,163,886 (311)
Bohl Theorem for Volterra Equations
This work deals with the preservation of exponential stability under small perturbations for Volterra differential equations. The so-called Bohl-Perron type stability theorems for these systems are also studied.
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ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley +1 more source
The regularization method of linear integral Volterra equations of the first kind is considered. The method is based on the perturbation theory. In order to derive the estimates of approximate solutions and regularizing operator norms we use the Banach ...
I. Muftahov, D. Sidorov, N. Sidorov
doaj
Boundedness of solutions of matrix nonlinear volterra difference equations
Nonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators.
Michael I. Gil', Rigoberto Medina
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Projective stochastic equations and nonlinear long memory [PDF]
A projective moving average $\{X_t, t \in \mathbb{Z}\}$ is a Bernoulli shift written as a backward martingale transform of the innovation sequence.
Grublytė, Ieva, Surgailis, Donatas
core
Linear-Quadratic Optimal Controls for Stochastic Volterra Integral Equations: Causal State Feedback and Path-Dependent Riccati Equations [PDF]
Hanxiao Wang, Jiongmin Yong, Chao Zhou
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Boundedness of Discrete Volterra Equations
The boundedness and stability of the solutions of discrete Volterra equations are investigated. This is done by different techniques: the use of Lyapunov functionals, the methods of majorants (comparison theorem), and perturbation techniques. The results are then applied to the discretization by direct quadrature methods of Volterra integral equations ...
Crisci, Maria Rosaria +3 more
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An Engineered Probiotic Consortium Based on Quorum‐Sensing for Colorectal Cancer Immunotherapy
This work develops an engineered probiotic consortium sensing pH, hypoxia, and lactate in the tumor microenvironment. It releases a lactate‐depleting enzyme (LdhA) and a PD‐L1 nanobody. In humanized mouse models (MC38 and HT‐29 tumors), it achieves durable oscillations, suppresses tumors, activates CD8+, CD4+, IFN‐γ+ T cells, and reduces Foxp3 ...
Yufei Guo +11 more
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Smoothness of solutions of Volterra integral equations with weakly singular kernels [PDF]
Solution smoothness of Volterra integral equations with weakly singular ...
Feldstein, A., Miller, R. K.
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Integrable Origins of Higher Order Painleve Equations [PDF]
Higher order Painleve equations invariant under extended affine Weyl groups $A^{(1)}_n$ are obtained through self-similarity limit of a class of pseudo-differential Lax hierarchies with symmetry inherited from the underlying generalized Volterra lattice ...
Aratyn, H. +2 more
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