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Keyword

linear functional equations

Description: Equations relating unknown functions through linear operations such as addition, scaling, or composition with specified transformations.
OpenAlex ID: keywords/linear-functional-equations
On the Stability of the Linear Functional Equation
1941 · D. H. Hyers · Proceedings of the National Academy of Sciences · 3,978
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The solution by iteration of linear functional equations in Banach spaces
1966 · F. E. Browder, W. V. Petryshyn · Bulletin of the American Mathematical Society · 298
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Treatise on Analysis
1969 · Jean Dieudonné · 264
Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable
2007 · Liviu Cădariu, Viorel Radu · Fixed Point Theory and Applications · 232
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Über lineare Funktionalgleichungen
1916 · Friedrich Riesz · Acta Mathematica · 219
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Recent results on functional equations in a single variable, perspectives and open problems
2001 · K. Baron · Aequationes Mathematicae · 179
Stability of functional equations in single variable
2003 · Ravi P. Agarwal, Bing Xu, et al. · Journal of Mathematical Analysis and Applications · 154
On the stability of the linear functional equation in a single variable on complete metric groups
2013 · Soon-Mo Jung, Dorian Popa, et al. · Journal of Global Optimization · 153
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Linear Functional Equations. Operator Approach
1996 · Anatolij Antonevich · Birkhäuser Basel eBooks · 102
A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers
2014 · Soon-Mo Jung, Michael Th. Rassias · Abstract and Applied Analysis · 63
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Iterative behandlung linearer funktionalgleichungen
1959 · Horst Bialy · Archive for Rational Mechanics and Analysis · 62
The Method of Steepest Descent
1982 · L.V. KANTOROVICH, G.P. AKILOV · Elsevier eBooks · 61
Weighted space method for the stability of some nonlinear equations
2012 · Liviu Cǎdariu, Laura Gǎvruţa, et al. · Applicable Analysis and Discrete Mathematics · 60
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Linear Functional Equations
1978 · L P Kučko · Mathematics of the USSR-Izvestiya · 60
Zeros of Solutions of a Functional Equation
2004 · Walter Bergweiler, Walter K. Haymana · Computational Methods and Function Theory · 55
On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations
2007 · Paisan Nakmahachalasint · International Journal of Mathematics and Mathematical Sciences · 53
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Hyperstability of a class of linear functional equations
2001 · Gyula Maksa, Zsolt Páles · Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) · 52
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On Ulam’s Type Stability of the Linear Equation and Related Issues
2014 · Janusz Brzdęk, Krzysztof Ciepliński, et al. · Discrete Dynamics in Nature and Society · 49
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Elementary remarks on Ulam–Hyers stability of linear functional equations
2006 · Gian-Luigi Forti · Journal of Mathematical Analysis and Applications · 48
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Integration of solutions of linear functional equations
1999 · Sergei A. Abramov, Mark Van Hoeij · Integral Transforms and Special Functions · 41
Remarks on stability of some inhomogeneous functional equations
2014 · Janusz Brzdęk · Aequationes Mathematicae · 40
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Hyers-Ulam stability for linear equations of higher orders
2008 · J. Brzdęk, D. Popa, et al. · Acta Mathematica Academiae Scientiarum Hungaricae · 40
String Hypothesis for Spin Chains: A Particle/Hole Democracy
2012 · Dmytro Volin · Letters in Mathematical Physics · 36
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A Note on Stability of an Operator Linear Equation of the Second Order
2011 · Janusz Brzdȩk, Soon-Mo Jung · Abstract and Applied Analysis · 36
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Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology
1996 · Water science and technology library · 33
Works count: 496
Citation count: 8,137
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