共查询到20条相似文献,搜索用时 15 毫秒
1.
Charles El-Nouty 《Acta Appl Math》2003,78(1-3):103-114
We characterize the lower classes of the fractional integrated fractional Brownian motion by an integral test. 相似文献
2.
《Mathematical Methods in the Applied Sciences》2018,41(10):3841-3855
In this paper, we construct a new fractional weighted reproducing kernel space, which is the minimum space containing the exact solution. The closed form of the reproducing kernel is obtained. Using this fractional reproducing kernel space, a class of fractional integro‐differential equations with a weakly singular kernel is solved. The error estimation is given. The final numerical experiments demonstrate the correctness of the theory and the effectiveness of the method. 相似文献
3.
Stephan Baier 《Acta Mathematica Hungarica》2006,113(1-2):39-49
Summary Suppose that 1/2 ≦ λ < 1. Balog and Harman proved that for any real θ there exist infinitely many primes p satisfying pλ-θ < p-(1-λ)/2+ ε (with an asymptotic result). In the present paper we establish that for almost all θ in the interval 0 ≦ θ < 1 there exist
infinitely many primes p such that {pλ-θ} < p-min{(2-λ)/6,(14-9λ)/32}+ε. Thus we obtain a better result for almost all θ than for a single θ if λ>1/2. 相似文献
4.
关于粗糙核多线性分数次积分的一点注记 总被引:19,自引:1,他引:18
作者简单地证明了一类粗糙核多线性分数次积分算子及其相关的极大算子分别是关于A(p,q)权从Lp到Lq有界的以及关于幂权从Lp(1≤p<n/α)到p/(n-a),∞有界的. 相似文献
5.
In this paper, we discuss the problem concerning global and local structure of solutions of an operator equation posed by M. S. Berger. Let f : U (?)E→ F be a C1 map, where E and F are Banach spaces and U is open in E. We show that the solution set of the equation f(x)=y for a fixed generalized regular value y of f is represented as a union of disjoint connected C1 Banach submanifolds of U, each of which has a dimension and its tangent space is given. In particular, a characterization of the isolated solutions of the equation f(x) = y is obtained. 相似文献
6.
有关M.S.Berger问题的注记 总被引:1,自引:0,他引:1
In this paper, we discuss the problem concerning global and local structure of solutions of an operator equation posed by M. S. Berger. Let f : U 真包含 E → F be a C1 map, where E and F are Banach spaces and U is open in E. We show that the solution set of the equation f(x) = y for a fixed generalized regular value y of f is represented as a union of disjoint connected C1 Banach submanifolds of U, each of which has a dimension and its tangent space is given. In particular, a characterization of the isolated solutions of the equation f(x) = y is obtained. 相似文献
7.
关于F.Smarandache的一个问题 总被引:1,自引:1,他引:0
F.Smarandache教授曾提出求最大的正整数r,将集合{1 ,2 ,…,r}分为n类,使得在每一类中方程xy =z(x >1 ,y >1 )无解.确立并证明了r的下界,即r n9. 相似文献
8.
In this paper, we concern with the following fractional p‐Laplacian equation with critical Sobolev exponent where ε > 0 is a small parameter, λ > 0 , N is a positive integer, and N > ps with s ∈ (0, 1) fixed, . Since the nonlinearity does not satisfy the following Ambrosetti‐Rabinowitz condition: with μ > p , it is difficult to obtain the boundedness of Palais‐Smale sequence, which is important to prove the existence of positive solutions. In order to overcome the above difficulty, we introduce a penalization method of fractional p‐Laplacian type. 相似文献
9.
10.
Reduction of the bilevel stochastic optimization problem with quantile objective function to a mixed‐integer problem 下载免费PDF全文
The paper is devoted to the stochastic optimistic bilevel optimization problem with quantile criterion in the upper level problem. If the probability distribution is finite, the problem can be transformed into a mixed‐integer nonlinear optimization problem. We formulate assumptions guaranteeing that an optimal solution exists. A production planning problem is used to illustrate usefulness of the model. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
11.
Compact finite difference scheme for the solution of a time fractional partial integro‐differential equation with a weakly singular kernel 下载免费PDF全文
Akbar Mohebbi 《Mathematical Methods in the Applied Sciences》2017,40(18):7627-7639
In this paper, we develop a high‐order finite difference scheme for the solution of a time fractional partial integro‐differential equation with a weakly singular kernel. The fractional derivative is used in the Riemann‐Liouville sense. We prove the unconditional stability and convergence of scheme using energy method and show that the convergence order is . We provide some numerical experiments to confirm the efficiency of suggested scheme. The results of numerical experiments are compared with analytical solutions to show the efficiency of proposed scheme. It is illustrated that the numerical results are in good agreement with theoretical ones. 相似文献
12.
E. Capelato K. Schiabel‐Silva R.P. Silva 《Mathematical Methods in the Applied Sciences》2013,36(12):1625-1630
In this paper, we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in governed by a maximal monotone operator. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
13.
《Mathematical Methods in the Applied Sciences》2018,41(7):2733-2747
An inverse problem of determining a time‐dependent source term from the total energy measurement of the system (the over‐specified condition) for a space‐time fractional diffusion equation is considered. The space‐time fractional diffusion equation is obtained from classical diffusion equation by replacing time derivative with fractional‐order time derivative and Sturm‐Liouville operator by fractional‐order Sturm‐Liouville operator. The existence and uniqueness results are proved by using eigenfunction expansion method. Several special cases are discussed, and particular examples are provided. 相似文献
14.
In this paper we give the minimal conditions which must satisfy families of subsets ofF for the proof of a theorem of Tacon and analogous results for some other classes of operatorsT:E→F defined via these families can be reproduced. 相似文献
15.
Hoang Luc Nguyen Huy Tuan Nguyen Yong Zhou 《Mathematical Methods in the Applied Sciences》2019,42(10):3481-3495
In this paper, we deal with the backward problem of determining initial condition for Rayleigh‐Stokes where the data are given at a fixed time. The problem has many applications in some non‐Newtonian fluids. We give some regularity properties of the solution to backward problem. 相似文献
16.
Sz. Gy. Révész 《Acta Mathematica Hungarica》1984,44(3-4):367-377
17.
Existence and uniqueness results for a fractional two‐times evolution problem with constraints of purely integral type 下载免费PDF全文
Said Mesloub 《Mathematical Methods in the Applied Sciences》2016,39(6):1558-1567
This paper deals with a fractional two‐times evolution equation associated with initial and purely boundary integral conditions. The existence and uniqueness of generalized solution are proved. The classical functional method based on a priori estimates and density used by many authors in the case of nonfractional differential equations is applied for the time fractional case. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
18.
Jiabin Zuo Tianqing An Alessio Fiscella 《Mathematical Methods in the Applied Sciences》2021,44(1):1071-1085
The paper deals with the following Kirchhoff‐type problem where M models a Kirchhoff coefficient, is a variable s(·) ‐order p(·) ‐fractional Laplace operator, with and . Here, is a bounded smooth domain with N > p(x, y)s(x, y) for any , μ is a positive parameter, g is a continuous and subcritical function, while variable exponent r(x) could be close to the critical exponent , given with and for . We prove the existence and asymptotic behavior of at least one non‐trivial solution. For this, we exploit a suitable tricky step analysis of the critical mountain pass level, combined with a Brézis and Lieb‐type lemma for fractional Sobolev spaces with variable order and variable exponent. 相似文献
19.
G. Koester 《Combinatorica》1985,5(3):227-228
A counter-example to a conjecture of T. Gallai and G. A. Dirac is given. 相似文献
20.
In this paper, we study the multiplicity of non‐negative solutions for the quasilinear p‐Laplacian equation with the nonlinear boundary condition (1) where Δp denotes the p‐Laplacian operator, defined by △ pu = div( | ? u | p ? 2 ? u),1 < p < N, Ω is a smooth exterior domain in . is the outward normal derivative, . The parameters p,q,r are either or . The weight functions a(x),h(x),g(x) satisfy some suitable conditions. Using the decomposition of the Nehari manifold and the variational methods, we prove that problem (1) has at least two positive solutions provided 0 < | λ | < λ1 for some λ1. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献