Pexiderized functional equations for vector products and quaternions
نویسندگان
چکیده
منابع مشابه
Pexiderized functional equations for vector products and quaternions
The purpose of the present paper is to solve the pexiderized versions of functional equations investigated by B. Nyul and G. Nyul [2], raised by the connection between products of quaternions and products of three-dimensional vectors. 1 Quaternionic products and vector products Let H = {r+ x1i+ x2j + x3k | r, x1, x2, x3 ∈ R} be the skew field of quaternions with the basic relations i2 = j2 = k2...
متن کاملFunctional Equations for Lexicographic Products *
We generalize the main result of [K–K–S] concerning the convex embeddings of a chain Γ in a lexicographic power ∆Γ. For a fixed non-empty chain ∆, we derive necessary and sufficient conditions for the existence of non-empty solutions Γ to each of the lexicographic functional equations (∆) ≃ Γ , (∆) ≃ Γ and (∆) ≃ Γ .
متن کاملExistence and continuous dependence for fractional neutral functional differential equations
In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Superstability and Stability of the Pexiderized Multiplicative Functional Equation
We obtain the superstability of the Pexiderized multiplicative functional equation fxy gxhy and investigate the stability of this equation in the following form: 1/1 ψx, y ≤ fxy/gxhy ≤ 1 ψx, y.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Mathematica Hungarica
سال: 2013
ISSN: 0236-5294,1588-2632
DOI: 10.1007/s10474-013-0369-x