共查询到20条相似文献,搜索用时 15 毫秒
1.
Lizhi Ruan 《Journal of Differential Equations》2010,249(9):2076-1008
This paper is concerned with the asymptotic behavior of solutions to the Cauchy problem of a hyperbolic-elliptic coupled system in the multi-dimensional radiating gas
2.
Kijung Lee 《Journal of Mathematical Analysis and Applications》2009,353(1):24-42
We develop an Lp theory for the Cauchy problem of linear partial differential systems of the form
3.
Exponential asymptotic property of a parallel repairable system with warm standby under common-cause failure 总被引:1,自引:0,他引:1
Zifei Shen Xiaoxiao Hu Weifeng Fan 《Journal of Mathematical Analysis and Applications》2008,341(1):457-466
We discuss exponential asymptotic property of the solution of a parallel repairable system with warm standby under common-cause failure. This system can be described by a group of partial differential equations with integral boundary. First we show that the positive contraction C0-semigroup T(t) [Weiwei Hu, Asymptotic stability analysis of a parallel repairable system with warm standby under common-cause failure, Acta Anal. Funct. Appl. 8 (1) (2006) 5-20] which is generated by the operator corresponding to these equations is a quasi-compact operator. Then by using [Weiwei Hu, Asymptotic stability analysis of a parallel repairable system with warm standby under common-cause failure, Acta Anal. Funct. Appl. 8 (1) (2006) 5-20] that 0 is an eigenvalue of the operator with algebraic index one and the C0-semigroup T(t) is contraction, we conclude that the spectral bound of the operator is zero. By using the above results the exponential asymptotical stability of the time-dependent solution of the system follows easily. 相似文献
4.
Xin Yu 《Journal of Mathematical Analysis and Applications》2005,303(2):576-584
In this paper, by using semigroup approach, we concerned with the regularity of the age-dependent population system with instantaneous time delay in the birth process. We prove that, under some additional condition, the solution semigroup of the population evolution equation is eventually differentiable, i.e., there exists t0>0 such that T(t) is differentiable for t>t0. 相似文献
5.
Fei Guo 《Journal of Mathematical Analysis and Applications》2009,353(1):88-98
In this paper, the multiplicity of Lagrangian orbits on C2 smooth compact symmetric star-shaped hypersurfaces with respect to the origin in R2n is studied. These Lagrangian orbits begin from one Lagrangian subspace and end on another. An infinitely many existence result is proved via Z2-index theory. This is a multiplicity result about the Arnold Chord Conjecture in some sense, and is a generalization of the problem about the multiplicity of Lagrangian orbits beginning from and ending on the same Lagrangian subspace which was considered in the authors' previous paper [F. Guo, C. Liu, Multiplicity of Lagrangian orbits on symmetric star-shaped hypersurfaces, Nonlinear Anal. 69 (4) (2008) 1425-1436]. 相似文献
6.
We are concerned with the following nonlinear problem
7.
8.
K.V. Storozhuk 《Journal of Mathematical Analysis and Applications》2007,332(2):1365-1370
If (Tt)t?0 is a bounded C0-semigroup in a Banach space X and there exists a compact subset K⊆X such that
9.
Lina Guo 《Journal of Mathematical Analysis and Applications》2010,364(1):41-50
By means of a direct and constructive method based on the theory of semiglobal C2 solution, the local exact boundary observability is shown for nonautonomous 1-D quasilinear wave equations. The essential difference between nonautonomous wave equations and autonomous ones is also revealed. 相似文献
10.
Jung-Chan Chang Sen-Yen Shaw 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(6):1670-1683
In this paper, we investigate the existence, uniqueness of solutions to boundary Cauchy equations with infinite delay, which are more general than the previous studies. The conclusions are applied to an age dependent population with delay in the birth process. 相似文献
11.
Hatem Megdiche 《Journal of Mathematical Analysis and Applications》2011,374(1):323-330
In this paper we prove some compactness results for a large class of singular transport equations. Our approach relies on some comparison results for positive operators. Our results extend and complete several earlier works. We also provide simpler proofs for several known results in the literature. 相似文献
12.
We give an essential generalization of Telyakovskii's results on the convergence of trigonometric series with rarely changing coefficients in the norm of L1. 相似文献
13.
Temur Jangveladze Zurab Kiguradze Beny Neta 《Journal of Mathematical Analysis and Applications》2009,351(1):382-6892
Asymptotic behavior of solutions as t→∞ to the nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is studied. Initial-boundary value problems with two kinds of boundary data are considered. The first with homogeneous conditions on whole boundary and the second with non-homogeneous boundary data on one side of lateral boundary. The rates of convergence are given too. 相似文献
14.
Yuzhao Wang 《Journal of Mathematical Analysis and Applications》2010,367(1):174-192
We study the initial value problem for the elliptic-hyperbolic Davey-Stewartson systems
(0.1) 相似文献
15.
Jaromy Scott Kuhl 《Discrete Mathematics》2008,308(20):4763-4767
The Evans Conjecture states that a partial Latin square of order n with at most n-1 entries can be completed. In this paper we generalize the Evans Conjecture by showing that a partial r-multi Latin square of order n with at most n-1 entries can be completed. Using this generalization, we confirm a case of a conjecture of Häggkvist. 相似文献
16.
B.P. Duggal 《Journal of Mathematical Analysis and Applications》2009,349(1):85-89
If A=(Aij)1?i,j?n∈B(X) is an upper triangular Banach space operator such that AiiAij=AijAjj for all 1?i?j?n, then A has SVEP or satisfies (Dunford's) condition (C) or (Bishop's) property (β) or (the decomposition) property (δ) if and only if Aii, 1?i?n, has the corresponding property. 相似文献
17.
Chi Honn Cheng 《Journal of Mathematical Analysis and Applications》2009,352(2):724-732
The study of Cauchy problem of the Boltzmann equation is important in both theory and applications. Existence of global solutions to the equation and uniform stability of solutions in the absence of external force were introduced in the previous work on the Boltzmann equation. In this paper, we will investigate the uniform stability of solutions in L1 for the Cauchy problem of the Boltzmann equation when there is an external force for the case of soft potentials. 相似文献
18.
Ming-Yi Lee Chin-Cheng Lin Ying-Chieh Lin 《Journal of Mathematical Analysis and Applications》2008,348(2):787-796
Let K be a generalized Calderón-Zygmund kernel defined on Rn×(Rn?{0}). The singular integral operator with variable kernel given by
19.
Wolfgang Knirsch Georg Schneider 《Journal of Mathematical Analysis and Applications》2007,332(1):570-576
We derive conditions for compactness of Hankel operators () with bounded, holomorphic symbols f for a large class of convex and bounded domains Ω with Ω⊆Dk. 相似文献
20.
Chun-Guo Zhang 《Journal of Mathematical Analysis and Applications》2007,326(1):488-499
In this paper, we study a boundary feedback system of a class of nonuniform undamped Timoshenko beam with both ends free. We give some sufficient conditions and some necessary conditions for the system to have exponential stability. Our method is based on the operator semigroup technique, the multiplier technique, and the contradiction argument of the frequency domain method. 相似文献