Difference Methods for Infinite Systems of Hyperbolic Functional Differential Equations on the Haar Pyramid

نویسنده

  • Danuta Jaruszewska-Walczak
چکیده

For any metric spaces X and Y we denote by C(X,Y ) the class of all continuous functions from X into Y . Let N and Z denote the sets of natural numbers and integers respectively. Denote by S the set of all real sequences p = (pk)k∈N. For p = (pk)k∈N ∈ S, p̄ = (p̄k)k∈N ∈ S we write |p| = (|pk|)k∈N and p ≤ p̄ if pk ≤ p̄k for k ∈ N. For p = (p (m) k )k∈N ∈ S , m ∈ N and p = (pk)k∈N ∈ S we put lim m→∞ p = p if lim m→∞ p (m) k = pk for all k ∈ N. Let E be the Haar pyramid

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

Infinite Systems of Hyperbolic Differential - Functional Inequalities

The paper deals with systems of hyperbolic differential-functional inequalities related to initial problem on the generalized Haar pyramid for equations ∂tzλ(t, x) = fλ(t, x, z, ∂xzλ(t, x)), λ ∈ Λ, where (t, x) = (t, x1, . . . , xn), z = {zλ}λ∈Λ and Λ is a compact set of indices. A theorem on strong differential-functional inequalities is the main result of the paper. Extremal solutions of init...

متن کامل

Numerical studies of non-local hyperbolic partial differential equations using collocation methods

The non-local hyperbolic partial differential equations have many applications in sciences and engineering. A collocation finite element approach based on exponential cubic B-spline and quintic B-spline are presented for the numerical solution of the wave equation subject to nonlocal boundary condition. Von Neumann stability analysis is used to analyze the proposed methods. The efficiency, accu...

متن کامل

On the $c_{0}$-solvability of a class of infinite systems of functional-integral equations

  In this paper, an existence result for a class of infinite systems of functional-integral equations in the Banach sequence space $c_{0}$ is established via the well-known Schauder fixed-point theorem together with a criterion of compactness in the space $c_{0}$. Furthermore, we include some remarks to show the vastity of the class of infinite systems which can be covered by our result. The a...

متن کامل

Numerical Methods for Fuzzy Linear Partial Differential Equations under new Definition for Derivative

In this paper difference methods to solve "fuzzy partial differential equations" (FPDE) such as fuzzy hyperbolic and fuzzy parabolic equations are considered. The existence of the solution and stability of the method are examined in detail. Finally examples are presented to show that the Hausdorff  distance between the exact solution and approximate solution tends to zero.

متن کامل

Solving infinite horizon optimal control problems of nonlinear interconnected large-scale dynamic systems via a Haar wavelet collocation scheme

We consider an approximation scheme using Haar wavelets for solving a class of infinite horizon optimal control problems (OCP's) of nonlinear interconnected large-scale dynamic systems. A computational method based on Haar wavelets in the time-domain is proposed for solving the optimal control problem. Haar wavelets integral operational matrix and direct collocation method are utilized to find ...

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 2004