On a set of convergent solutions for a system of second order linear difference equations | Zendy

Masahiro Iwano | Zendy; Kenjiro Okubo | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On a set of convergent solutions for a system of second order linear difference equations

Author(s) -

Masahiro Iwano,

Kenjiro Okubo

Publication year - 1965

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195196334

Subject(s) - mathematics , singular point of a curve , singular solution , infinity , eigenvalues and eigenvectors , constant (computer programming) , matrix (chemical analysis) , order (exchange) , mathematical analysis , plane (geometry) , convergence (economics) , complex plane , variable (mathematics) , point (geometry) , pure mathematics , rate of convergence , combinatorics , geometry , finance , computer science , economics , programming language , channel (broadcasting) , physics , materials science , engineering , quantum mechanics , electrical engineering , composite material , economic growth

The problem was proposed and formulated by the junior author, and the crucial point of the convergence proof was done by the senior author. In (2), A j ( j = Q, 1, 2) are n by n constant matrices and X is an ^-dimensional vector, and t is a complex variable. The system has 2 singular points in the closed complex plane; one at the origin, which is a regular singular point, the other at infinity which is an irregular singular point. We will assume the eigen-values h, Az, -•-, hn of the matrix A^ are mutually distinct, and they satisfy the following pentagonal condition

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research