Boundary Value Problem for a Second-Order Difference Equation with Resonance
نویسندگان
چکیده
منابع مشابه
Positive Solutions to a Generalized Second-Order Difference Equation with Summation Boundary Value Problem
By using Krasnoselskii’s fixed point theorem, we study the existence of positive solutions to the three-point summation boundary value problem Δ2u t − 1 a t f u t 0, t ∈ {1, 2, . . . , T}, u 0 β ∑η s 1 u s , u T 1 α ∑η s 1 u s , where f is continuous, T ≥ 3 is a fixed positive integer, η ∈ {1, 2, ..., T − 1}, 0 < α < 2T 2 /η η 1 , 0 < β < 2T 2 − αη η 1 /η 2T − η 1 , and Δu t − 1 u t − u t − 1 ....
متن کاملExistence Results for a Second-order Difference Equation with Summation Boundary Conditions at Resonance
In this paper, we study the existence of solutions of a second-order difference equation with summation boundary value problem at resonance by using intermediate value theorems and Schaefer’s fixed point theorem, we obtain a sufficient condition for the existence of the solution for the problem.
متن کاملA Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs
In this article we have developed third order exact finite difference method for the numerical solution of third order boundary value problems. We constructed our numerical technique without change in structure of the coefficient matrix of the second-order method in cite{Pand}. We have discussed convergence of the proposed method. Numerical experiments on model test problems approves the simply...
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 کاملExistence of a solution for a three-point boundary value problem for a second-order differential equation at resonance
*Correspondence: [email protected] Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, 15782, Spain Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Abstract We present a new existence result for a second-order nonlinear ordinary differential equ...
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: Complexity
سال: 2020
ISSN: 1076-2787,1099-0526
DOI: 10.1155/2020/7527030