A simulation of integral and derivative of the solution of a stochastici integral equation

Nguyen Quy Hy; Nguyen Thi Minh

Displaying similar documents to “A simulation of integral and derivative of the solution of a stochastici integral equation”

Lattice effect algebras densely embeddable into complete ones

Zdena Riečanová (2011)

Kybernetika

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An effect algebraic partial binary operation $ø p l u s$ defined on the underlying set $E$ uniquely introduces partial order, but not conversely. We show that if on a MacNeille completion $\hat{E}$ of $E$ there exists an effect algebraic partial binary operation $\hat{\oplus}$ then $\hat{\oplus}$ need not be an extension of $\oplus$ . Moreover, for an Archimedean atomic lattice effect algebra $E$ we give a necessary and sufficient condition for that $\hat{\oplus}$ existing on $\hat{E}$ is an extension of $\oplus$ defined on $E$ . Further we show that such $\hat{\oplus}$ extending $\oplus$ exists...

On the eigenvalues of a Robin problem with a large parameter

Alexey Filinovskiy (2014)

Mathematica Bohemica

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We consider the Robin eigenvalue problem $Δ u + λ u = 0$ in $Ω$ , $\partial u / \partial ν + α u = 0$ on $\partial Ω$ where $Ω \subset ℝ^{n}$ , $n \geq 2$ is a bounded domain and $α$ is a real parameter. We investigate the behavior of the eigenvalues $λ_{k} (α)$ of this problem as functions of the parameter $α$ . We analyze the monotonicity and convexity properties of the eigenvalues and give a variational proof of the formula for the derivative $λ_{1}^{'} (α)$ . Assuming that the boundary $\partial Ω$ is of class $C^{2}$ we obtain estimates to the difference $λ_{k}^{D} - λ_{k} (α)$ between the $k$ -th eigenvalue of the Laplace operator with...

Best approximations and porous sets

Simeon Reich, Alexander J. Zaslavski (2003)

Commentationes Mathematicae Universitatis Carolinae

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Let $D$ be a nonempty compact subset of a Banach space $X$ and denote by $S (X)$ the family of all nonempty bounded closed convex subsets of $X$ . We endow $S (X)$ with the Hausdorff metric and show that there exists a set $ℱ \subset S (X)$ such that its complement $S (X) ∖ ℱ$ is $σ$ -porous and such that for each $A \in ℱ$ and each $\tilde{x} \in D$ , the set of solutions of the best approximation problem $∥ \tilde{x} - z ∥ \to min$ , $z \in A$ , is nonempty and compact, and each minimizing sequence has a convergent subsequence.

Higher order linear connections from first order ones

Włodzimierz M. Mikulski (2007)

Archivum Mathematicum

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We describe how find all $ℳ f_{m}$ -natural operators $D$ transforming torsion free classical linear connections $\nabla$ on $m$ -manifolds $M$ into $r$ -th order linear connections $D (\nabla)$ on $M$ .