General and regular solutions of functional equations characterizing jarmonic polynomials

1968 ◽  
Vol 1 (1-2) ◽  
pp. 37-53 ◽  
Author(s):  
J. Aczél ◽  
H. Haruki ◽  
M. A. McKiernan ◽  
G. N. Sakovič
Keyword(s):  
Functional Equations ◽  
Regular Solutions

General and regular solutions of functional equations characterizing harmonic polynomials

1968 ◽  
Vol 1 (1-2) ◽  
pp. 194-195
Author(s):  
J. Aczel ◽  
H. Haruki ◽  
M. A. McKiernan ◽  
G. N. Sakovič
Keyword(s):  
Functional Equations ◽  
Harmonic Polynomials ◽  
Regular Solutions

On regular solutions of functional equations

1986 ◽  
Vol 30 (1) ◽  
pp. 21-54 ◽  
Author(s):  
A. Járai
Keyword(s):  
Functional Equations ◽  
Regular Solutions

On regular solutions of some simple iterative functional equations

2004 ◽  
Vol 67 (1-2) ◽  
pp. 117-131
Author(s):  
Nicole Brillouët-Belluot
Keyword(s):  
Functional Equations ◽  
Regular Solutions

On some functional equations related to derivations and bicircular projections in rings

2014 ◽  
Vol 49 (2) ◽  
pp. 313-331
Author(s):  
Maja Fošner ◽  
◽  
Benjamin Marcen ◽  
Nejc Širovnik ◽  
Joso Vukman ◽  
...  
Keyword(s):  
Functional Equations

Functional equations related to weightable quasi-metrics

2015 ◽  
Vol 4 (1047) ◽  
Author(s):  
M.J. Campion ◽  
E. Indurain ◽  
G. Ochoa
Keyword(s):  
Functional Equations

Solutions and Stability of Generalized Mixed Type QCA-Functional Equations in Random Normed Spaces

2013 ◽  
Vol 59 (2) ◽  
pp. 299-320
Author(s):  
M. Eshaghi Gordji ◽  
Y.J. Cho ◽  
H. Khodaei ◽  
M. Ghanifard
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Functional Equations ◽  
Mixed Type ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
Probabilistic Normed Spaces ◽  
Random Normed Spaces ◽  
Generalized Stability

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

Thin structure of heterogeneous and multiphase fluid flows

2012 ◽  
Vol 9 (1) ◽  
pp. 175-180
Author(s):  
Yu.D. Chashechkin
Keyword(s):  
Large Scale ◽  
Fundamental System ◽  
Fluid Flows ◽  
Regular Solutions ◽  
Flow Models ◽  
Group Methods ◽  
Wide Range ◽  
Thin Structure ◽  
Multiphase Fluid ◽  
Complete Solutions

According to the results of visualization of streams, the existence of structures in a wide range of scales is noted: from galactic to micron. The use of a fundamental system of equations is substantiated based on the results of comparing symmetries of various flow models with the usage of theoretical group methods. Complete solutions of the system are found by the methods of the singular perturbations theory with a condition of compatibility, which determines the characteristic equation. A comparison of complete solutions with experimental data shows that regular solutions characterize large-scale components of the flow, a rich family of singular solutions describes formation of the thin media structure. Examples of calculations and observations of stratified, rotating and multiphase media are given. The requirements for the technique of an adequate experiment are discussed.

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