TAILIEUCHUNG - Báo cáo hóa học: "A REMARK ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: A REMARK ON kTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS | A REMARK ON fcTH-ORDER LINEAR FUNCTIONAL EQUATIONS WITH CONSTANT COEFFICIENTS JITKA LAITOCHOVA Received 30 January 2006 Accepted 18 May 2006 Abel functional equations are associated to a linear homogeneous functional equation with constant coefficients. The work uses the space s of continuous strictly monotonic functions. Generalized terms are used because of the space s like composite function iterates of a function Abel functional equation and linear homogeneous functional equation in s with constant coefficients. The classical theory of linear homogeneous functional and difference equations is obtained as a special case of the theory in space s. Equivalence of points and orbits of a point are introduced to show the connection between the linear functional and the linear difference equations in s. Asymptotic behavior at infinity is studied for a solution of the linear functional equation. Copyright 2006 Jitka Laitochova. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction The linear functional equations are considered in the space of real-valued functions of a real variable x e ỹ -TO to . The set N denotes the set of positive integers. The set Z denotes integers and the set R denotes real numbers. Symbol C0 is the set of continuous functions on the interval . Definitions of the terms which we generalize in the space s can be found in 1-5 . In particular we generalize the notions of iterates and linear homogeneous functional equations with constant coefficients. . Definition of the space s. A function f e C0 belongs to s if and only if it maps the interval one-to-one onto the interval a b where a e R or a -TO b e R or b TO. . Multiplication in s. Let us choose in s an arbitrary function X a so-called canonical function and let X be the inverse function to X. Let F G e s. The composite .

TÀI LIỆU LIÊN QUAN
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.