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81.
孙梅娜 《数学物理学报(B辑英文版)》2011,31(4):1503-1512
In this note, we consider the interactions of elementary waves for the traffic flow model proposed by Aw and Rascle when the vacuum is not involved. The solutions are obtained constructively and globally when the initial data consist of three pieces of constant states. Furthermore, it can be found that the Riemann solutions are stable with respect to such small perturbations of the initial data in this particular situation by investigating the limits of the solutions as the perturbed parameter ε goes to zero. 相似文献
82.
赵增勤 《数学物理学报(B辑英文版)》2011,31(4):1569-1582
This paper investigates a class of 2nth-order singular superlinear problems with Strum-Liouville boundary conditions. We obtain a necessary and sufficient condition for the existence of C 2 n- 2 [0, 1] positive solutions, and a sufficient condition, a necessary condition for the existence of C 2 n-1 [0, 1] positive solutions. Relations between the positive solutions and the Green’s functions are depicted. The results are used to judge nonexistence or existence of positive solutions for given boundary value problems. 相似文献
83.
In this article, linear regular index 2 DAEs A(t)[D(t)x(t)]′+B(t)x(t)=q(t) are considered. Using a decoupling technique, initial condition and boundary condition are properly formulated. Regular index 1 DAEs are obtained by a regularization method. We study the behavior of the solution of the regularization system via asymptotic expansions. The error analysis between the solutions of the DAEs and its regularization system is given. 相似文献
84.
In this article, we prove a heat kernel version of Hardy’s theorem for the Laguerre hypergroup. 相似文献
85.
令μ是R~d上可能为非倍的正的Radon测度.对于所有的x∈R~d,r>0以及某个固定的常数C_0,μ只需满足μ(B(x,r))≤C_0r~n(0相似文献
86.
87.
Halburd和Korhonen指出研究复域差分的值分布问题对进一步研究复域差分与差分方程具有十分重要的意义.本文得到了关于有限级亚纯函数的差分多项式的亏量为一些结果,其中部分结果可视为微分多项式相应结果的差分模拟.同时,我们在一定条件下给出了经典的Valiron-Mohon'ko定理的一个差分模拟结果,并且作为本文中的一个重要工具出现.这些结果推广了前人已有结果. 相似文献
88.
1引言所谓MEG(脑磁图)反源问题,就是根据头外电磁场数据确定脑内神经电流源的活动情况.此类反问题在生物医学中有着广泛的应用,其最经典的一个应用即利用脑磁图仪器确定癫痫病人脑部病灶的位置.癫痫是由脑部神经元群阵发性异常放电所致,这些神经元群的体积一般都很小,因而可以被近似看作是偶极子源[1,6].本文即是考虑由此衍生的反 相似文献
89.
In this article, we study the existence of nontrivial solutions for a class of asymptotically linear Hamiltonian systems with Lagrangian boundary conditions by the Galerkin approximation methods and the L-index theory developed by the first author. 相似文献
90.
LIN YaNan & WANG MinXiong School of Mathematical Sciences Xiamen University Xiamen China School of Mathematical Sciences Huaqiao University Quanzhou 《中国科学 数学(英文版)》2010,(4)
In this paper,we prove that if a triangulated category D admits a recollement relative to triangulated categories D' and D″,then the abelian category D/T admits a recollement relative to abelian categories D'/i(T) and D″/j(T) where T is a cluster tilting subcategory of D and satisfies i i (T) T,j j (T) T. 相似文献