The linear q-difference equation y(x) = ay(qx) + f(x)

✍ Scribed by Y.-K Liu

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 198 KB
• Volume: 8
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(94)00103-j

✦ Synopsis

The existence and uniqueness of solutions of the linear q-difference equation y(x) = ay(qx) + f(x) in the function spaces C[0, oo) and LP(T~+) are discussed. Numerical method via linear spline collocation is constructed and error estimates are given.