Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions [PDF]
We discuss existence results of mild solutions for stochastic differential inclusions subject to nonlocal conditions. We provide sufficient conditions in order to obtain a priori bounds on possible solutions of a one-parameter family of problems related to the original one.
A. Vinodkumar, A. Boucherif
openaire +2 more sources
The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley +1 more source
Consistency of vanishing smooth fictitious play
We discuss consistency of Vanishing Smooth Fictitious Play, a strategy in the context of game theory, which can be regarded as a smooth fictitious play procedure, where the smoothing parameter is time-dependent and asymptotically vanishes. This answers a
Benaïm, Michel, Faure, Mathieu
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Calpain small subunit homodimerization is robust and calcium‐independent
Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
Approximate Controllability of Hilfer Fractional Stochastic Evolution Inclusions of Order 1 < q < 2
This paper addresses the approximate controllability results for Hilfer fractional stochastic differential inclusions of order ...
Anurag Shukla +4 more
doaj +1 more source
Remarks on Differential Inclusion limits of Stochastic Approximation
For stochastic approximation algorithms with discontinuous dynamics, it is shown that under suitable distributional assumptions, the interpolated iterates track a Fillipov solution of the limiting differential inclusion. In addition, we give an alternative control theoretic approach to recent results of [7] on certain limiting empirical measures ...
Borkar, Vivek, Shah, Dhruv
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Controllability of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay [PDF]
The paper is concerned with the controllability of nonlinear neutral stochastic differential inclusions with infinite delay in a Hilbert space. Sufficient conditions for the controllability are obtained by using a fixed-point theorem for condensing maps due to O'Regan.
Li, Yong, Zou, Qiang
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Aggressive prostate cancer is associated with pericyte dysfunction
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero +11 more
wiley +1 more source
Andrzej Lasota's selected results [PDF]
In this article we recall Andrzej Lasota's selected results which either indicated new directions of research, or layed the foundations for new approaches, or solved interesting problems. The area of mathematical interests of Professor Andrzej Lasota was
Józef Myjak
doaj
Pullback attractors of nonautonomous and stochastic multivalued dynamical systems [PDF]
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence of !-limit sets and global ...
Caraballo Garrido, Tomás +3 more
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