In order to achieve minimum energy consumption in computerized numerical control (CNC) lathe processing under the premise of ensuring imposed roughness machined surface, a black hole-continuous ant colony optimization algorithm (BH-ACOR) is proposed optimize turning parameters. Taking specific and surface as objectives, test was designed. Subsequently, multi-objective mathematical model cutting stage formulated through application least-squares method fit data. The hole introduced mitigate...

In this paper, we focus on the parameter estimations and some related issues of a class fractional uncertain differential equations. We obtain considered equations by using rectangular trapezoidal algorithms for numerical approximation optimal problems. Subsequently, taking method as an example, predicted variable–corrected variable is used to solve fractional-order equations, solutions were demonstrated different α-paths. Finally, algorithm, closing prices Tencent Holdings entire year 2023...

This paper investigates a class of distributed fractional-order stochastic differential equations driven by fractional Brownian motion with Hurst parameter 1/2<H<1. By employing the Picard iteration method, we rigorously prove existence and uniqueness solutions Lipschitz conditions. Furthermore, leveraging Girsanov transformation argument within L2 metric framework, derive quadratic transportation inequalities for law strong solution to considered equations. These results provide...

Abstract In this paper, we concern ourselves with the following Kirchhoff-type equations: <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mo>{</m:mo> <m:mtable> <m:mtr> <m:mtd> <m:mo>-</m:mo> <m:mo>(</m:mo> <m:mi>a</m:mi> <m:mo>+</m:mo> <m:mi>b</m:mi> <m:mo>⁢</m:mo> <m:msub> <m:mo>∫</m:mo> <m:msup> <m:mi>ℝ</m:mi> <m:mn>3</m:mn> </m:msup> </m:msub> <m:mpadded> <m:mo>|</m:mo> <m:mo>∇</m:mo> <m:mo>⁡</m:mo> <m:mi>u</m:mi> </m:mrow> <m:mn>2</m:mn> </m:mpadded> <m:mo>𝑑</m:mo>...

In this paper, we study the following fourth-order elliptic equations of Kirchhoff type: , in where are constants, have potential and nonlinearity . Under certain assumptions on show existence multiplicity negative energy solutions for above system based genus properties critical point theory. MSC: 35J20, 35J65, 35J60.

This paper considers the following nonhomogeneous fourth order elliptic equations of Kirchhoff type:\begin{eqnarray*}\begin{cases}\displaystyle\triangle ^2u-(a+b\int_{\text R^N}|\nabla u|^2dx)\triangle u+V(x)u= f(x,u)+h(x),~\text{in}~ \text R^N,\\ \displaystyle u\in H^2(\text R^N), \end{cases}\end{eqnarray*}where constants $a\gt 0,~b\geq0$. Under certain assumptions on $V(x)$, $f(x,u)$ and $h(x)$, we show existence multiplicity solutions by Ekeland$^{,}$s variational principle Mountain Pass...

Green manufacturing has become a new production mode for the development and operation of modern future industries. The flexible job shop scheduling problem (FJSP), as one key core problems in field green process planning, hot topic difficult issue research. In this paper, an improved multi-objective wolf pack algorithm (MOWPA) is proposed solving with transportation constraints. Firstly, model constraints established, which takes maximum completion time total energy consumption optimization...

Based on the Girsanov theorem for a kind of Volterra-Gaussian process, which are generalization fractional Brownian motion, Liouville and Ornstein-Uhlenbeck we establish Harnack inequalities class stochastic functional differential equations driven by processes with subordinator an approximation technique. Some known results have been generalized improved.

We prove a strong/weak stability estimate for the 3D homogeneous Boltzmann equation with moderately soft potentials [$\gamma\in(-1,0)$] using Wasserstein distance quadratic cost. This in particular implies uniqueness class of all weak solutions, assuming only that initial condition has finite entropy and moment sufficiently high order. also consider Nanbu $N$-stochastic particle system, which approximates solution. use probabilistic coupling method give, under suitable assumptions on...

On étudie certaines EDS à sauts et les équations de Fokker–Planck (ou Kolmogorov progressives) correspondantes, qui sont des EDP non-locales. suppose seulement que coefficients mesurables croissance au plus linéaire. montre pour toute solution faible $(f_{t})_{t\in[0,T]}$ l’EDP, il existe une l’EDS, dont lois marginales données par $(f_{t})_{t\in[0,T]}$. en déduit donnée initiale, l’existence l’EDP est équivalente l’unicité loi l’EDS implique l’EDP. Nous étendons ainsi idées Figalli (J....

In this paper, we investigate the controllability for a class of neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter H∈(0,1/2) in Hilbert space. By using analysis Brown H∈(0,1/2), properties operator semigroup and Banach fixed point theorem, sufficient conditions considered are obtained. end, one example is given to illustrate feasibility effectiveness obtained results.

In this paper, we study the following Schrödinger-Kirchhoff-type equations: $$ \textstyle\begin{cases}-(a+b\int_{\mathrm{R}^{3}}|\nabla u|^{2}\,dx)\triangle u+u= k(x)|u|^{2^{*}-2}u+\mu h(x)u \quad\mbox{in } \mathrm{R}^{3},\\ u\in H^{1}(\mathrm{R}^{3}), \end{cases} where $a, b,\mu>0$ are constants, $2^{*}=6$ is critical Sobolev exponent in three spatial dimensions. Under appropriate assumptions on nonnegative functions $k(x)$ and $h(x)$ , establish existence of positive sign-changing...