Abstract We study a nonlinear Schrödinger equation with linear damping, i.e. zero-order dissipation, and an additive noise. Working in $${\mathbb {R}}^d$$ R d $$d\le 3$$ ≤ 3 , we prove the uniqueness of invariant ...

Spectral unmixing is an important task in hyperspectral image processing for separating the mixed spectral data pertaining to various materials observed aiming at analyzing material components pixels. Recently, nonlinear has received particular attention processing, as there are many situations which linear mixture model may not be appropriate and could advantageously replaced by a one. Existin...

Let R be a prime ring with center Z, I nonzero ideal of and D: × → symmetric bi–(α, α)-derivation d the trace D. In present paper, we have considered following conditions: i) [d(x), x]α,α = 0, ii)[d(x), ⊆ Cα,α, iii)(d(x), x)α,α iv)D1(d2(x), x) v)d1(d2(x)) f(x), for all x, y ∈ I, where D1 D2 are two bi-(α, α)-derivations, d1, d2 traces D1, respectively, B: is bi-additive mapping, f B.

The Olson constant $\mathcal{O}L(\mathbb{F}_{p}^{d})$ represents the minimum positive integer $t$ with property that every subset $A\subset \mathbb{F}_{p}^{d}$ of cardinality contains a nonempty vanishing sum. problem estimating is one oldest questions in additive combinatorics, long and interesting history even for case $d=1$. In this paper, we prove any fixed $d \geq 2$ $\epsilon > 0$, $\math...

We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in R d with d ≤ 3.

there are many efforts for identification of natural compounds from dietary or medicinal plants. young roots and aerial parts of a. persicus have been used as food additive or salad vegetable in some parts of iran. in this study, different fractions of the root extract of a. persicus were subjected for isolation and purification of secondary metabolites. the methanol extract of the roots was fr...

We consider Euclid’s gcd algorithm for two integers (p, q) with 1 ≤ p ≤ q ≤ N , with the uniform distribution on input pairs. We study the distribution of the total cost of execution of the algorithm for an additive cost function d on the set of possible digits, asymptotically for N → ∞. For any additive cost of moderate growth d, Baladi and Vallée obtained a central limit theorem, and –in the ...

Usefulness of multibreed composites depends on: 1) adaptation of the average breed effects combined, 2) amount of initial heterosis retained, and 3) the rate of further improvement from selection. Potential improvement could be increased, relative to parental stocks, by retained heterosis in reproductive rate and by any increase in additive genetic variation in the composite. A single-locus, tw...

Consider a data structure D that stores a dynamic collection of elements. Assume that D uses a linear number of words in addition to the elements stored. In this paper several data-structural transformations are described that can be used to transform D into another data structure D′ that supports the same operations as D, has considerably smaller memory overhead than D, and performs the suppor...