Existence of nontrivial solutions of linear functional equations

Aequationes Mathematicae ◽

10.1007/s00010-013-0212-z ◽

2013 ◽

Vol 88 (1-2) ◽

pp. 151-162 ◽

Author(s):

Gergely Kiss ◽

Adrienn Varga

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Nontrivial Solutions ◽

Linear Functional Equations

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Nontrivial solutions of linear functional equations: methods and examples

Opuscula Mathematica ◽

10.7494/opmath.2015.35.6.957 ◽

2015 ◽

Vol 35 (6) ◽

pp. 957 ◽

Author(s):

Adrienn Varga ◽

Csaba Vincze

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Nontrivial Solutions ◽

Linear Functional Equations

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Linear functional equations of one variable

Journal of Soviet Mathematics ◽

10.1007/bf01095621 ◽

1990 ◽

Vol 48 (5) ◽

pp. 533-535

Author(s):

L. P. Kuchko

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Linear Functional Equations

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Linear Functional Equations with 𝔇H-Unstable Solutions

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05228-2 ◽

2021 ◽

Vol 253 (2) ◽

pp. 289-296

Author(s):

V. Yu. Slyusarchuk

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Linear Functional Equations ◽

Unstable Solutions

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The Asymptotically Periodic Behavior of the Solutions of Some Linear Functional Equations

American Journal of Mathematics ◽

10.2307/2372246 ◽

1949 ◽

Vol 71 (2) ◽

pp. 313 ◽

Author(s):

N. G. DeBruijn

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Periodic Behavior ◽

Linear Functional Equations ◽

Asymptotically Periodic

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LINEAR FUNCTIONAL EQUATIONS

Treatise on Analysis ◽

10.1016/b978-0-12-215507-9.50004-4 ◽

1988 ◽

pp. 1-358

Author(s):

J. DIEUDONNÉ

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Linear Functional Equations

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LINEAR FUNCTIONAL EQUATIONS IN A HILBERT MODULE

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500558396 ◽

2003 ◽

Vol 7 (3) ◽

pp. 441-448 ◽

Author(s):

Sei-Qwon Oh ◽

Chun-Gil Park

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Hilbert Module ◽

Linear Functional Equations

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Convergence of Padé approximants using the solution of linear functional equations

Journal of Mathematical Physics ◽

10.1063/1.522610 ◽

1975 ◽

Vol 16 (4) ◽

pp. 813-822 ◽

Author(s):

George A. Baker

Keyword(s):

Functional Equations ◽

Linear Functional ◽

Padé Approximants ◽

Pade Approximants ◽

Linear Functional Equations

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Asymptotic expansions for the error of discretization algorithms for non-linear functional equations

Numerische Mathematik ◽

10.1007/bf01397970 ◽

1965 ◽

Vol 7 (1) ◽

pp. 18-31 ◽

Author(s):

Hans J. Stetter

Keyword(s):

Asymptotic Expansions ◽

Functional Equations ◽

Linear Functional ◽

Linear Functional Equations ◽

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Existence and uniqueness of solutions in H1(Δ) of a general class of non-linear functional equations

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(03)00019-2 ◽

2003 ◽

Vol 279 (2) ◽

pp. 451-462 ◽

Author(s):

Eugenia N. Petropoulou ◽

Panayiotis D. Siafarikas

Keyword(s):

General Class ◽

Existence And Uniqueness ◽

Functional Equations ◽

Linear Functional ◽

Uniqueness Of Solutions ◽

Linear Functional Equations ◽

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HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972720000556 ◽

2020 ◽

Vol 102 (2) ◽

pp. 293-302

Author(s):

THEERAYOOT PHOCHAI ◽

SATIT SAEJUNG

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Functional Equations ◽

Linear Functional ◽

Linear Equations ◽

General Linear ◽

Several Variables ◽

Linear Functional Equations

Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem. We complete and extend Zhang’s result. We illustrate our results for general linear equations in two variables and Fréchet equations.

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