共查询到10条相似文献,搜索用时 109 毫秒
1.
In this work, the authors first show the existence of global attractors for the following lattice complex Ginzburg–Landau equation: and for the following lattice Schrödinger equation: Then they prove that the solutions of the lattice complex Ginzburg–Landau equation converge to that of the lattice Schrödinger equation as ε→0+. Also they prove the upper semicontinuity of as ε→0+ in the sense that . 相似文献
2.
S.M. Hashemiparast M. Masjed-Jamei M.R. Eslahchi Mehdi Dehghan 《Applied mathematics and computation》2006,180(2):605-613
The weighted Newton–Cotes quadrature rules of open type are denoted bywhere w(x) is a positive function and is the step size. Various cases can be selected for the weight function of the above formula. In this paper, we consider as the main weight function and study the general formula:
The precision degree of the above formula is n + 1 for even n’s and is n for odd n’s but if one considers its upper and lower bounds as two additional variables, a nonlinear system will be derived whose solution improves the precision degree of above formula up to degree n + 2 numerically. In this way, some examples are given to show the numerical superiority of our idea. 相似文献
3.
In this paper, we prove a Chebyshev type inequality for fuzzy integrals. More precisely, we show that:where μ is the Lebesgue measure on and f,g:[0,1]→[0,∞) are two continuous and strictly monotone functions, both increasing or both decreasing. Also, some examples and applications are presented. 相似文献
4.
Sufficient conditions are established for the oscillation of even order neutral differential equations of the formwhere n 2 is even integer. 相似文献
5.
In this work, we present a new sharpened version of the classical Neuberg–Pedoe inequality. As an application, the following improved Neuberg–Pedoe inequality is derived: 相似文献
6.
X.H. Jiang 《Journal of Computational and Applied Mathematics》2006,190(1-2):22-36
An asymptotic expansion is constructed for the solution of the initial-value problemwhen t is restricted to the interval [0,T/ε], where T is any given number. Our analysis is mathematically rigorous; that is, we show that the difference between the true solution u(t,x;ε) and the Nth partial sum of the asymptotic series is bounded by εN+1 multiplied by a constant depending on T but not on x and t. 相似文献
7.
We use Adomian decomposition method for solving the fractional nonlinear two-point boundary value problemwhere D is Caputo fractional derivative, c is a constant, μ > 0, and F:[0,1]×[0,∞)→[0,∞) a continuous function. The fractional Bratu problem is solved as an illustrative example. 相似文献
8.
This paper deals with p-Laplacian systemswith null Dirichlet boundary conditions in a smooth bounded domain ΩRN, where p,q>1, , and a,b>0 are positive constants. We first get the non-existence result for a related elliptic systems of non-increasing positive solutions. Secondly by using this non-existence result, blow-up estimates for above p-Laplacian systems with the homogeneous Dirichlet boundary value conditions are obtained under Ω=BR={xRN:|x|<R}(R>0). Then under appropriate hypotheses, we establish local theory of the solutions and obtain that the solutions either exists globally or blow-up in finite time. 相似文献
9.
We study the existence of solutions for the nonlinear elliptic system where Ω is a bounded domain, f1 is superlinear and f2 is sublinear at zero and infinity, h1 and h2 are perturbation terms. We will show that the system has at least two semi-trivial solutions (u,0), (0,v) and a nontrivial solution (u*,v*). 相似文献
10.
We study the stability of non-negative stationary solutions ofwhere Δp denotes the p-Laplacian operator defined by Δpz = div(zp−2z); p > 2, Ω is a bounded domain in RN(N 1) with smooth boundary where [0,1],h:∂Ω→R+ with h = 1 when = 1, λ > 0, and g:Ω×[0,∞)→R is a continuous function. If g(x, u)/up−1 be strictly increasing (decreasing), we provide a simple proof to establish that every non-trivial non-negative solution is unstable (stable). 相似文献