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On Two-Point Boundary Value Problems for Second-Order Difference Equation

On Two-Point Boundary Value Problems for Second-Order Difference Equation

Year:    2022

Author:    Huijuan Li, Gaofeng Du, Cunyan Yue

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 605–614

Abstract

In this paper, we aim to investigate the difference equation 2y(t1)+|y(t)|=0,t[1,T]Z with different boundary conditions y(0)=0 or y(0)=0 and y(T+1)=B or y(T)=B, where T1 is an integer and BR. We will show that how the values of T and B influence the existence and uniqueness of the solutions to the about problem. In details, for the different problems, the TB-plane explicitly divided into different parts according to the number of solutions to the above problems. These parts of TB-plane for the value of T and B guarantee the uniqueness, the existence and the nonexistence of solutions respectively.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2022.605

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 3 : pp. 605–614

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Second-order difference equation Different boundary conditions Boundary value problems.

Author Details

Huijuan Li Email

Gaofeng Du Email

Cunyan Yue Email