共查询到20条相似文献,搜索用时 46 毫秒
1.
A 《Applied mathematics and computation》2007,190(2):1273-1283
In this paper, error analysis of a finite element A– method for the time-dependent Maxwell’s equations is presented. An explicit-magnetic-field scheme is applied. Provided that the time-stepsize τ is sufficiently small, the proposed algorithm yields for finite time T an error of in the L2-norm for the electric field E and the magnetic field H, where h is the mesh size. 相似文献
2.
Stepanov-like almost automorphic solutions of nonautonomous semilinear evolution equations with delay 总被引:1,自引:1,他引:0
We consider the existence and uniqueness of a Stepanov-like almost automorphic solution to the nonautonomous semilinear evolution equations with a constant delay: where , generates an exponentially stable evolution family {U(t,s)} and satisfies a Lipschitz condition with respect to the second argument. 相似文献
3.
Let be a finite field and consider the polynomial ring . Let . A function , where G is a group, is called strongly Q-additive, if f(AQ+B)=f(A)+f(B) holds for all polynomials with degB<degQ. We estimate Weyl sums in restricted by Q-additive functions. In particular, for a certain character E we study sums of the form where is a polynomial with coefficients contained in the field of formal Laurent series over and the range of P is restricted by conditions on fi(P), where fi (1ir) are Qi-additive functions. Adopting an idea of Gel'fond such sums can be rewritten as sums of the form with . Sums of this shape are treated by applying the kth iterate of the Weyl–van der Corput inequality and studying higher correlations of the functions fi. With these Weyl sum estimates we show uniform distribution results. 相似文献
4.
Le Thi Phuong Ngoc Le Khanh Luan Tran Minh Thuyet Nguyen Thanh Long 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(11):5799-5819
In this paper, we consider the following nonlinear wave equation (1) where , , μ, f, g are given functions. To problem (1), we associate a linear recursive scheme for which the existence of a local and unique weak solution is proved by applying the Faedo–Galerkin method and the weak compact method. In the case of , , μ(z)≥μ0>0, μ1(z)≥0, for all , and , , , a weak solution uε1,ε2(x,t) having an asymptotic expansion of order N+1 in two small parameters ε1, ε2 is established for the following equation associated to (1)2,3: (2) 相似文献
5.
Denis Bonheure Patrick Habets Franco Obersnel Pierpaolo Omari 《Journal of Differential Equations》2007,243(2):208-237
We discuss existence and multiplicity of positive solutions of the one-dimensional prescribed curvature problem depending on the behaviour at the origin and at infinity of the potential . Besides solutions in W2,1(0,1), we also consider solutions in which are possibly discontinuous at the endpoints of [0,1]. Our approach is essentially variational and is based on a regularization of the action functional associated with the curvature problem. 相似文献
6.
By using a fixed point theorem of strict-set-contraction, some new criteria are established for the existence of positive periodic solutions of the following periodic neutral Lotka–Volterra system with state dependent delays where (i,j=1,2,…,n) are ω-periodic functions and (i=1,2,…,n) are ω-periodic functions with respect to their first arguments, respectively. 相似文献
7.
Ivan Kiguradze Tariel Kiguradze 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(7):1914-1933
In the rectangle Ω=[0,a]×[0,b] for the nonlinear hyperbolic equation the boundary value problems of the type are considered, where and are linear bounded functionals.Sufficient conditions of solvability and unique solvability of the general problem and its particular cases (Nicoletti type, Dirichlet, Lidstone and Periodic problems) are established. 相似文献
8.
In this paper we consider differential inclusion problem involving the p(x)-Laplacian of the type Applying a version of the non-smooth three-critical-points theorem we obtain the existence of three solutions of the problem in . 相似文献
9.
We prove the following result concerning the inheritance of hyper-duality by block and quotient Bose–Mesner algebras associated with a hyper-dual pair of imprimitive Bose–Mesner algebras. Let and denote Bose–Mesner algebras. Suppose there is a hyper-duality ψ from the subconstituent algebra of with respect to p to the subconstituent algebra of with respect to . Also suppose that is imprimitive with respect to a subset of Hadamard idempotents, so is dual imprimitive with respect to the subset of primitive idempotents, where is the formal duality associated with ψ. Let denote the block Bose–Mesner algebra of on the block containing p, and let denote the quotient Bose–Mesner algebra of with respect to . Then there is a hyper-duality from the subconstituent algebra of with respect to p to the subconstituent algebra of with respect to . 相似文献
10.
Rather mild sufficient conditions are provided for the existence of positive solutions of a boundary value problem of the formwhich unify several cases discussed in the literature. In order to formulate these conditions one needs to know only properties of the homeomorphism and have information about the level of growth of the response operator F. No metric information concerning the linear operators L0,L1 in the boundary conditions is used, except that they are positive and continuous and such that Lj(1)<1 j{0,1}. 相似文献
11.
Let M be a smooth, compact, orientable, weakly pseudoconvex manifold of dimension 3, embedded in (N2), of codimension one or more, and endowed with the induced CR structure. Assuming that the tangential Cauchy-Riemann operator has closed range in L2(M) in order to rule out the Rossi example, we push regularity up to show has closed range in Hs(M) for all s>0. We then use the Szegö projection to show there is a smooth solution for the problem given smooth data. The results are obtained via microlocalization by piecing together estimates for functions and (0,1) forms that hold on different microlocal regions. 相似文献
12.
Let denote a field and V denote a nonzero finite-dimensional vector space over . We consider an ordered pair of linear transformations A:V→V and A*:V→V that satisfy (i)–(iii) below.
- 1. [(i)]Each of A,A* is diagonalizable on V.
- 2. [(ii)]There exists an ordering of the eigenspaces of A such thatwhere V-1=0, Vd+1=0.
- 3. [(iii)]There exists an ordering of the eigenspaces of A* such thatwhere , .
Keywords: Leonard pair; Tridiagonal pair; q-Inverting pair; Split decomposition 相似文献
13.
Let , with
-1=x0n<x1n<<xnn<xn+1,n=1