Linear Random Boundary Value Problems Containing Weakly Correlated Forcing Functions
نویسنده
چکیده
Thls paper concerns linear random boundary value problems that contain random variables In the boundary conditions and weakly correlated processes in the differential equations. When the correlation length e is smmll the structure of the solution is pointed out, and the formulas for the density function of the solutions are derived. The discussion is given in terms of second order equations, but extensions to higher order problems are readily apparent.
منابع مشابه
Limit Theorems for Functionals of the Derivatives of Weakly Correlated Functions and Applications to Random Boundary Value Problems
In this paper a random Sturm-boundary-value problem is considered. Thereby, the random coeecients belong to the class of weakly correlated functions, which can be characterized as functions "without distance eeect". There exist various solution methods for this problem in the literature. The aim is to compare these methods and to examine their compatibility. For that, it is useful to consider l...
متن کاملAugmented Lagrangian method for solving absolute value equation and its application in two-point boundary value problems
One of the most important topic that consider in recent years by researcher is absolute value equation (AVE). The absolute value equation seems to be a useful tool in optimization since it subsumes the linear complementarity problem and thus also linear programming and convex quadratic programming. This paper introduce a new method for solving absolute value equation. To do this, we transform a...
متن کاملBoundary Value Problems in Generalized Thermodiffusive Elastic Medium
In the present study, the boundary value problems in generalized thermodiffusive elastic medium has been investigated as a result of inclined load. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. As an application of t...
متن کاملSinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in...
متن کاملFixed point theorems under weakly contractive conditions via auxiliary functions in ordered $G$-metric spaces
We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of exi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004