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compact resolvent
相关语句
  紧预解式
     The unique existence and asymptotic stability of periodic solution for evolution equation u′(t)+Au(t)=f(t,u(t)) in a Banach space are studied. Here - A is only assumed as a C 0 semigroup generator. The conditions in former papers that - A is a analytic semigroup generator and has compact resolvent are deleted.
     研究了Banach空间中抽象发展方程u′(t)+Au(t)=f(t,u(t))的周期解的唯一存在性及渐近稳定性.这里假设-A仅为C0-半群的无穷小生成元.取消了以往对A为解析半群的生成元并有紧预解式的假定.所得结果可应用于多种数学物理方程
短句来源
  紧豫解式
     In this paper the existence of the inertial is the fixed point of the inertial map, is proved Under the assumption that h is small enough and the spectral gap conditions are satisfied for the time-discrete equation F(un). It is different from the other works [1,2] that the capter operator A in this paper is only an infinitesimal generator of an analytic semigroup and has compact resolvent without the assumption of self-adjoint.
     本文讨论了离散化方程的惯性流形,证明了在h充分小且算子 A满足谱间隔条件下,该方程存在一个惯性流形 是惯性映射的不动点.与现有文献 [1,2]不同,我们仅假设主算子A是解析半群无穷小生成元且有紧豫解式,不需要A是自伴的假设.
短句来源
     Using the technique of factoring weakly compact operators though reflexive Banach spaces, this note proves that a class of ordinary differential equations with Lipschitz continuous perturbations has a strong solution when the problem is governed by a closed operator with compact resolvent.
     利用自反Banach空间中弱紧算子的因子分解技巧,对于一类非齐次项具有连续Lipschitz扰动的柯西问题,当其齐次项算子生成强连续算子半群且具有紧豫解式限制时,证明了方程强解的存在性.
短句来源
  “compact resolvent”译为未确定词的双语例句
     For one_dimensional wave equation with viscous damping and a restoring force in the problem of boundary feedback control, we abstract it as a Cauchy problem in the functional space. We give that the system operator generates a C_0_semigroup and has compact resolvent. Furthermore, we get the spectral feature of the system operator, including the spectrum, which lies in the left half plane, and it is in a limited strip region paralleled to the imaginary axis.
     对具反馈边界控制问题中的一维带黏性阻力和恢复力的波方程系统,在函数空间中将其化为抽象Cauchy问题,其系统算子具预解紧且是某C0压缩半群的生成元,得到了系统算子的谱分布特征,包括其谱点实部的上确界小于零以及谱点位于某平行于虚轴的有限带域中,为进一步讨论该系统的稳定性、可控性及Riesz基性质奠定了基础.
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  相似匹配句对
     c Compact.
     c. 紧映射。
短句来源
     ON O-COMPACT SPACE
     θ-紧空间的性质
短句来源
     And the resolvent of the difficulties is discussed.
     讨论了建立应用程序时的难点解决方案。
短句来源
     Defect of GlazedCorner Tiles and Its Resolvent
     施釉角砖的常见缺陷与质量分析
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  compact resolvent
We study the Neumann Laplacian of unbounded regions in ?n with cusps at infinity so that the corresponding Dirichlet Laplacian has compact resolvent.
      
Sampling Theory Associated with a Symmetric Operator with Compact Resolvent and De Branges Spaces
      
For the class of sectorial operators with a compact resolvent operator, the solution of initial-boundary-value problem can be represented by means of a certain holomorphic semigroup.
      
The existence of a nonautonomous approximate inertial manifold is shown for problems of the formu' + Au + N(t,u)=0, in whichA is a self-adjoint operator with compact resolvent in a Hilbert spaceH.
      
Polynomial energy decay rate and strong stability of Kirchhoff plates with non-compact resolvent
      
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The unique existence and asymptotic stability of periodic solution for evolution equation u′(t)+Au(t)=f(t,u(t)) in a Banach space are studied.Here - A is only assumed as a C 0 semigroup generator. The conditions in former papers that - A is a analytic semigroup generator and has compact resolvent are deleted.The results of the paper can be applied to many mathematical physics equations.

研究了Banach空间中抽象发展方程u′(t)+Au(t)=f(t,u(t))的周期解的唯一存在性及渐近稳定性.这里假设-A仅为C0-半群的无穷小生成元.取消了以往对A为解析半群的生成元并有紧预解式的假定.所得结果可应用于多种数学物理方程

In this paper the existence of the inertial is the fixed point of the inertial map, is proved Under the assumption that h is small enough and the spectral gap conditions are satisfied for the time-discrete equation F(un). It is different from the other works [1,2] that the capter operator A in this paper is only an infinitesimal generator of an analytic semigroup and has compact resolvent without the assumption of self-adjoint.

本文讨论了离散化方程的惯性流形,证明了在h充分小且算子 A满足谱间隔条件下,该方程存在一个惯性流形 是惯性映射的不动点.与现有文献 [1,2]不同,我们仅假设主算子A是解析半群无穷小生成元且有紧豫解式,不需要A是自伴的假设.

Using the technique of factoring weakly compact operators though reflexive Banach spaces, this note proves that a class of ordinary differential equations with Lipschitz continuous perturbations has a strong solution when the problem is governed by a closed operator with compact resolvent.

 利用自反Banach空间中弱紧算子的因子分解技巧,对于一类非齐次项具有连续Lipschitz扰动的柯西问题,当其齐次项算子生成强连续算子半群且具有紧豫解式限制时,证明了方程强解的存在性.

 
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