Factorization Method for Solving Multipoint Problems for Second Order Difference Equations with Polynomial Coefficients
![No Thumbnail [100%x150]](data:image/svg+xml;base64,PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiIHN0YW5kYWxvbmU9InllcyI/PjxzdmcgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIiB3aWR0aD0iMTI2NCIgaGVpZ2h0PSIxNTAiIHZpZXdCb3g9IjAgMCAxMjY0IDE1MCIgcHJlc2VydmVBc3BlY3RSYXRpbz0ibm9uZSI+PGRlZnMvPjxyZWN0IHdpZHRoPSIxMjY0IiBoZWlnaHQ9IjE1MCIgZmlsbD0iI0VFRUVFRSIvPjxnPjx0ZXh0IHg9IjM1Ny41IiB5PSI3NSIgc3R5bGU9ImZpbGw6I0FBQUFBQTtmb250LXdlaWdodDpib2xkO2ZvbnQtZmFtaWx5OkFyaWFsLCBIZWx2ZXRpY2EsIE9wZW4gU2Fucywgc2Fucy1zZXJpZiwgbW9ub3NwYWNlO2ZvbnQtc2l6ZTo1OXB0O2RvbWluYW50LWJhc2VsaW5lOmNlbnRyYWwiPk5vIFRodW1ibmFpbDwvdGV4dD48L2c+PC9zdmc+)
Zusammenfassung
This paper is devoted to the study of second order linear difference equations with polynomial coefficients subject to multipoint boundary conditions. We provide necessary and sufficient conditions for the existence and uniqueness of solutions and find the unique solution in closed form by using factorization techniques. © 2020, Springer Nature Switzerland AG.