Dependence on parameters for discrete second-order boundary value problems
نویسندگان
چکیده
منابع مشابه
On Boundary Value Problems for Second-order Discrete Inclusions
We prove some existence theorems regarding solutions to boundary value problems for systems of second-order discrete inclusions. For a certain class of right-hand sides, we present some lemmas showing that all solutions to discrete second-order inclusions satisfy an a priori bound. Then we apply these a priori bounds, in conjunction with an appropriate fixed point theorem for inclusions, to obt...
متن کاملThree-Point Boundary Value Problems for Second-Order Discrete Equations
We formulate existence results for solutions to discrete equations which approximate three-point boundary value problems for second-order ordinary differential equations. c © 2003 Elsevier Science Ltd. All rights reserved. Keywords—Three-point boundary value problem, Difference equations, Brouwer degree, Secondorder ordinary differential equations.
متن کاملEigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions
In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second order differential equation, and study necessary and sufficient conditions for the negative and positive eigenvalues of the boundary value problem....
متن کاملOn First-Order Discrete Boundary Value Problems
This article analyzes a nonlinear system of first-order difference equations with periodic and non-periodic boundary conditions. Some sufficient conditions are presented under which: potential solutions to the equations will satisfy certain a priori bounds; and the equations will admit at least one solution. The methods involve new dynamic inequalities and use of Brouwer degree theory. The new ...
متن کاملB-Spline Finite Element Method for Solving Linear System of Second-Order Boundary Value Problems
In this paper, we solve a linear system of second-order boundary value problems by using the quadratic B-spline nite el- ement method (FEM). The performance of the method is tested on one model problem. Comparisons are made with both the analyti- cal solution and some recent results.The obtained numerical results show that the method is ecient.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2011
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236191003639442