Some remarks on stability of semigroups arising from linear viscoelasticity

نویسندگان

  • Vladimir V. Chepyzhov
  • Vittorino Pata
چکیده

An abstract integrodifferential equation arising from linear viscoelasticity is considered. The stability properties of the related C0-semigroup are discussed, in dependence on the form of the convolution (memory) kernel.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stability and approximation for a linear viscoelastic modely

We consider an integro-diierential equation which arises in linear viscoelasticity. By making use of an equivalent inner product, it is shown that the underlying contraction semigroup is exponentially stable. We also show that the nite dimensional semigroups arising from a known approximation scheme are uniformly exponentially stable.

متن کامل

Uniform Exponential Stability ofApproximations in Linear Viscoelasticity

In this paper, we rst study the abstract setting of linear vis-coelasticity and under reasonable conditions on the kernel we prove the exponential stability of the associated semigroup. Secondly, we study the general approximate schemes proposed by Banks and Burns, by Ito and Kappel, and by Fabiano and Ito, respectively. The uniformly exponential stability of semigroups associated with these ap...

متن کامل

Stability of abstract linear semigroups arising from heat conduction with memory

We establish some decay properties of the semigroup generated by a linear integro-differential equation in a Hilbert space, which is an abstract version of the equation ut(t)− β∆u(t)− ∫ ∞ 0 k(s)∆u(t− s)ds = 0 describing hereditary heat conduction.

متن کامل

Stability of additive functional equation on discrete quantum semigroups

We construct  a noncommutative analog of additive functional equations on discrete quantum semigroups and show that this noncommutative functional equation has Hyers-Ulam stability on amenable discrete quantum semigroups. The discrete quantum semigroups that we consider in this paper are in the sense of van Daele, and the amenability is in the sense of Bèdos-Murphy-Tuset. Our main result genera...

متن کامل

Symplectic and symmetric methods for the numerical solution of some mathematical models of celestial objects

In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Asymptotic Analysis

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2006