1 |
J. Aczel, Lectures on Functional Equations and Their Applications, Dover Publications Inc., New York 2006.
|
2 |
J. Aczel, J. K. Chung, and C. T. Ng, Symmetric second differences in product form on groups, Topics in mathematical analysis, 1-22, Ser. Pure Math., 11, World Sci. Publ., Teaneck, NJ, 1989.
|
3 |
T. Angheluta, Asupra unei ecuatii functionale cu trei functii necunoscute, Lucr. Sti. Inst. Politehn. Astr. 5 (1960), 23-30.
|
4 |
A. Bahyrycz and J. Brzdek, On solutions of the d'Alembert equation on a restricted domain, Aequationes Math. 85 (2013), no. 1-2, 169-183.
DOI
|
5 |
N. G. De Brujin, On almost additive functions, Colloq. Math. 15 (1966), 59-63.
DOI
|
6 |
J. Chung, A distributional version of functional equations and their stabilities, Nonlinear Anal. 62 (2005), no. 6, 1037-1051.
DOI
|
7 |
J. Chung, Stability of exponential equations in Schwarz distributions, Nonlinear Anal. 69 (2008), no. 10, 3503-3511.
DOI
|
8 |
J. Chung and P. K. Sahoo, Solution of several functional equations on nonunital semigroups using Wilson's functional equations with involution, Abstr. Appl. Anal. 2014 (2014), Art. ID 463918, 9 pp.
|
9 |
J. Chung and P. K. Sahoo, Stability of Wilson's functional equations with involutions, Aequationes Math. 89 (2015), no. 3, 749-763.
DOI
|
10 |
J. K. Chung, B. R. Ebanks, C. T. Ng, and P. K. Sahoo, On a quadratic-trigonometric functional equation and some applications, Trans. Amer. Math. Soc. 347 (1995), no. 4, 1131-1161.
DOI
|
11 |
I. Corovei, The cosine functional equation for nilpotent groups, Aequationes Math. 15 (1977), no. 1, 99-106.
DOI
|
12 |
I. Corovei, The functional equation f(xy) + f() = 2f(x)g(y) for nilpotent groups, Mathematica (Cluj) 22(45) (1980), no. 1, 33-41.
|
13 |
I. Corovei, The d'Alembert functional equation on metabelian groups, Aequationes Math. 57 (1999), no. 2-3, 201-205.
DOI
|
14 |
I. Corovei, Wilson's functional equation on metabelian groups, Mathematica (Cluj) 44(67) (2002), no. 2, 137-146.
|
15 |
P. De Place Friis, D'Alembert's and Wilson's equations on Lie groups, Aequationes Math. 67 (2004), no. 1-2, 12-25.
DOI
|
16 |
J. d'Alembert, Addition au Memoire sur la courbe que forme une corde tendue mise en vibration, Hist. Acad. Berlin (1750), 355-360.
|
17 |
J. d'Alembert, Memoire sur les principes de mecanique, Hist. Acad. Sci. Paris, pages 278-286, 1769.
|
18 |
P. Erdos, Problem P310, Colloq. Math. 7 (1960), 311.
|
19 |
I. Fenyo, Uber eine Losungsmethode gewisser Funktionalgleichungen, Acta Math. Acad. Sci. Hungar. 7 (1956), 383-396.
DOI
|
20 |
I. M. Gelfand and G. E. Shilov, Generalized Functions II, Academic Press, New York, 1968.
|
21 |
I. M. Gelfand and G. E. Shilov, Generalized Functions IV, Academic, Press, New York, 1968.
|
22 |
P. K. Sahoo and Pl. Kannappan, Introduction to Functional Equations, CRC Press, Boca Raton, 2011.
|
23 |
L. Hormander, The analysis of linear partial differential operator I, Springer-Verlag, Berlin-New York, 1983.
|
24 |
W. B. Jurkat, On Cauchy's functional equation, Proc. Amer. Math. Soc. 16 (1965), 683-686.
|
25 |
S. Kaczmarz, Sur l'equation fonctionnelle f(x)+f(x+y) = (y)f(x+y/2), Fund. Math. 6 (1924), 122-129.
DOI
|
26 |
L. Schwartz, Theorie des Distributions, Hermann, Paris, 1966.
|
27 |
P. Sinopoulos, Functional equations on semigroups, Aequationes Math. 59 (2000), no. 3, 255-261.
DOI
|
28 |
H. Stetkaer, Functional equations on abelian groups with involution, Aequationes Math. 54 (1997), no. 1-2, 144-172.
DOI
|
29 |
G. van der Lyn, Sur l'equation fonctionnelle f(x + y) + f(x − y) = 2f(x)(y), Mathematica (Cluj) 16 (1940), 91-96.
|
30 |
D. V. Widder, The Heat Equation, Academic Press, New York, 1975.
|
31 |
W. H. Wilson, On certain related functional equations, Bull. Amer. Math. Soc. 26 (1920), no. 7, 300-312.
DOI
|
32 |
W. H. Wilson, Two general functional equations, Bull. Amer. Math. Soc. 31 (1925), no. 7, 330-333.
DOI
|