Passage of the Limit through the Double Denjoy Integral

نویسنده

  • N. CHELIDZE
چکیده

As is well-known, there exist various definitions of the double Denjoy integral (see [1,2,5]). Conditions for passage of limits through these integrals have not yet been studied. The object of this paper is to investigate the conditions for passage of the limit through the double Denjoy integral defined by V.G. Chelidze (see [7]). Here we shall use the well-known terms (see, for example, [8]). We recall only a few definitions.

برای دانلود 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

A Riemann-type Definition for the Double Denjoy Integral of Chelidze and Djvarsheishvili

We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of CD filtering.

متن کامل

Convergence Theorems for Set-valued Denjoy-pettis Integrable Mappings

In this paper, we introduce the Denjoy-Pettis integral of set-valued mappings and investigate some properties of the set-valued Denjoy-Pettis integral. Finally we obtain the Dominated Convergence Theorem and Monotone Convergence Theorem for set-valued DenjoyPettis integrable mappings.

متن کامل

Simulation of Surface Plasmon Excitation in a Plasmonic Nano-Wire Using Surface Integral Equations

In this paper, scattering of a plane and monochromatic electromagnetic wave from a nano-wire is simulated using surface integral equations. First, integral equationsgoverning unknown fields on the surface is obtained based on Stratton-Cho surface integral equations. Then, the interaction of the wave with a non-plasmonic as well as a palsmonic nano-wire is considered. It is shown that in scatter...

متن کامل

On the Two-boundary First-passage Time for a Class of Markov Processes

The first-passage time problem through two time-dependent boundaries for one-dimensional Gauss-Markov processes is considered, both for fixed and for random initial states. The first passage time probability density functions are proved to satisfy a system of continuous-kernel integral equations that can be numerically solved by an accurate and computationally simple algorithm. A condition on t...

متن کامل

Transitions and Anti-integrable Limits for Multi-hole Sturmian Systems and Denjoy Counterexamples

For a Denjoy homeomorphism f of the circle S, we call a pair of distinct points of the ω-limit set ω(f) whose forward and backward orbits converge together a gap, and call an orbit of gaps a hole. In this paper, we generalise the Sturmian system of Morse and Hedlund and show that the dynamics of any Denjoy minimal set of finite number of holes is conjugate to a generalised Sturmian system. More...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001