Results 21 to 30 of about 1,298 (230)
On the Relationship Between Solutions of Stochastic and Random Differential Inclusions [PDF]
Some results on the relationship of the solutions of a stochastic di erential inclusion and the corresponding random di erential inclusion obtained after a change of variable are proved. As a consequence, we obtain the pullback convergence of the solutions of the stochastic inclusion to a compact random set.
Caraballo Garrido, Tomás +2 more
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Some optimal control problems for partial differential inclusions [PDF]
Partial differential inclusions are considered. In particular, basing on diffusions properties of weak solutions to stochastic differential inclusions, some existence theorems and some properties of solutions to partial differential inclusions are given.
Michał Kisielewicz
doaj
Dynamics of economic growth: Uncertainty treatment using differential inclusions
The article is focused on applications of the differential inclusions to the models of economic growth, rather than the model building. The models are taken from the known literature, and some modifications are introduced to reflect an additional inertia.
Stanislaw Raczynski
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Linear feedback control and adaptive feedback control are proposed to achieve the synchronization of stochastic neutral-type memristive neural networks with mixed time-varying delays.
Desheng Hong +2 more
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Optimal solutions to stochastic differential inclusions [PDF]
The main aim of this paper is to establish an existence theorem for the optimal weak solution \(\xi^{\ast}\) of the following problem: \[ \begin{split} E \int_{0}^{T} h(t,\xi^{\ast}_{t} ) \, dt & = \sup_{\xi} E \int_{0}^{T} h(t, \xi_{t} ) \, dt \\ \text{s.t.} \quad d\xi_{t} & \in F(t,\xi_{t} ) \, dt + G(t, \xi_{t} ) \, dW_{t} \\ P^{\xi_{0}}& = \mu ...
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A market model: uncertainty and reachable sets
Uncertain parameters are always present in models that include human factor. In marketing the uncertain consumer behavior makes it difficult to predict the future events and elaborate good marketing strategies.
Raczynski Stanislaw
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On the Solution of Stochastic Differential Inclusion
Let \((\Omega, \Lambda,p)\) be a probability space, \(I = [0,T]\), \(\{\Lambda_t \}_{t \in I}\) an increasing family of \(\sigma\)- subalgebras such that \(\bigcap_{\alpha > 0} \Lambda _{t + \alpha} = \Lambda_t\), and \(\beta_t\) a \(\sigma\)-algebra of all Borel subsets of \([0,t]\) for fixed \(t \in I\). Let us denote by \(\beta \Lambda\) a \(\sigma\)
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On Stochastic Differential Inclusions with Current Velocities
Existence of solution theorems are obtained for stochastic differential inclusions given in terms of the so-called current velocities (symmetric mean derivatives, a direct analogs of ordinary velocity of deterministic systems) and quadratic mean derivatives (giving information on the diffusion coefficient) on the flat $n$-dimensional torus.
Yu.E. Gliklikh, A.V. Makarova
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Notion of mean derivatives was introduced by Edward Nelson for the needs of stochastic mechanics (a version of quantum mechanics). Nelson introduced forward and backward mean derivatives while only their half-sum, symmetric mean derivative called current
Alla V Makarova +2 more
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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

