Functional Equations Stability Results
Functional Equations Stability Results is a research topic within Applied Mathematics. Science Explorer counts 13k research works in it since 1950. 11.7% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the stability of functional equations, particularly in the context of mathematical analysis. It explores topics such as Hyers-Ulam stability, functional equations in Banach spaces, stability of linear differential equations, quadratic equations, fixed point approaches, approximate homomorphisms, fuzzy stability, non-Archimedean spaces, and the Pexider equation.
- Hyers-Ulam Stability
- Functional Equations
- Banach Spaces
- Linear Differential Equations
- Quadratic Equation
- Fixed Point Approach
- Approximate Homomorphisms
- Fuzzy Stability
- Non-Archimedean Spaces
- Pexider Equation
- Research works
- 13k fractional, since 1950
- In the world top 10%
- 1.5k per year above
- Top-10% rate
- 11.7% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +4% the tick is no change
Which countries lead Functional Equations Stability Results research?
By volume, China and India publish the most (167 and 140 works in 2022–2025).
By volume, 2022–2025
- 1 China 167 works
- 2 India 140 works
- 3 United States 100 works
- 4 Türkiye 83 works
- 5 Poland 75 works
- 6 Iran 70 works
- 7 Saudi Arabia 69 works
- 8 Pakistan 64 works
- 9 Russia 45 works
- 10 Morocco 41 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Functional Equations Stability Results research?
By volume in 2022–2025, Düzce Üniversitesi publishes the most Functional Equations Stability Results research, followed by COMSATS University Islamabad and Institute of Mathematics.
By volume, 2022–2025
- 1 Düzce ÜniversitesiTürkiye 24 works
- 2 COMSATS University IslamabadPakistan 15 works
- 3 Institute of MathematicsPoland 14 works
- 4 Hanyang UniversitySouth Korea 13 works
- 5 University of DebrecenHungary 11 works
- 6 AGH University of KrakowPoland 11 works
- 7 University of Mohaghegh ArdabiliIran 10 works
- 8 King Abdulaziz UniversitySaudi Arabia 10 works
- 9 University of ZagrebCroatia 9 works
- 10 University of Silesia in KatowicePoland 8 works
Who are the leading researchers in Functional Equations Stability Results?
The most-cited researchers publishing on Functional Equations Stability Results include Dumitru Bǎleanu, James A. Yorke and Ingram Olkin.
- 1 Dumitru Bǎleanu Türkiye 2.2k citations
- 2 James A. Yorke United States 2.1k citations
- 3 Ingram Olkin United States 2k citations
- 4 Barry C. Arnold United States 1.7k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Functional Equations Stability Results research done?
The largest centres of Functional Equations Stability Results research in 2022–2025 are Düzce (Türkiye), Seoul (South Korea), Tehran (Iran) and Krakow (Poland). Among places with at least 20 works in it, it is an unusually large share of all research in Düzce.
Largest cities, 2022–2025
Where it is the local speciality
- DüzceTR · 23.5 works98×
Location quotient: how much more of its research is in Functional Equations Stability Results than the world average.
Where is the best place to study Functional Equations Stability Results?
Among universities, judged by research, COMSATS University Islamabad, Düzce Üniversitesi and AGH University of Krakow score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | COMSATS University IslamabadPakistan | 65.9 | 40.3% | 41.6× | 15 | +391.1% |
| 2 | Düzce ÜniversitesiTürkiye | 58.6 | 33.5% | 97.8× | 24 | +181.3% |
| 3 | AGH University of KrakowPoland | 37.4 | 19.2% | 18.3× | 11 | +686.7% |
| 4 | Hanyang UniversitySouth Korea | 28.9 | 23.9% | 20.8× | 13 | -30.4% |
| 5 | King Abdulaziz UniversitySaudi Arabia | 26.2 | 19.2% | 12.0× | 10 | -6.0% |
| 6 | University of Mohaghegh ArdabiliIran | 22.1 | 20.9% | 77.4× | 10 | -26.8% |
| 7 | University of ZagrebCroatia | 7.7 | 4.8% | 11.1× | 9 | -28.6% |
| 8 | University of DebrecenHungary | 7.4 | 0.8% | 25.6× | 11 | -26.4% |
| 9 | University of Silesia in KatowicePoland | 7.2 | 3.4% | 26.7× | 8 | +15.4% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Functional Equations Stability Results research growing?
Output in 2018–2022 was 4% higher than in 2013–2017, peaking in 2011. The fastest-growing topics are Functional Equations Stability Results.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.