Peter Volkmann

712 total citations
73 papers, 457 citations indexed

About

Peter Volkmann is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Peter Volkmann has authored 73 papers receiving a total of 457 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Applied Mathematics, 23 papers in Mathematical Physics and 17 papers in Geometry and Topology. Recurrent topics in Peter Volkmann's work include Functional Equations Stability Results (22 papers), Nonlinear Differential Equations Analysis (12 papers) and Mathematical and Theoretical Analysis (9 papers). Peter Volkmann is often cited by papers focused on Functional Equations Stability Results (22 papers), Nonlinear Differential Equations Analysis (12 papers) and Mathematical and Theoretical Analysis (9 papers). Peter Volkmann collaborates with scholars based in Germany, France and Poland. Peter Volkmann's co-authors include Karol Baron, H. Weigel, Zsolt Páles, R. Duncan Luce, Klaus Schmitt, Ray Redheffer, Roman Badora, Franz Halter‐Koch, R. M. Redheffer and Attila Gilányi and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Peter Volkmann

66 papers receiving 377 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Peter Volkmann Germany	11	319	139	123	95	66	73	457
Arne Stray Norway	12	301 0.9×	172 1.2×	102 0.8×	158 1.7×	37 0.6×	29	530
Luca Brandolini Italy	16	414 1.3×	212 1.5×	170 1.4×	59 0.6×	84 1.3×	48	521
M. A. Akcoglu Canada	14	247 0.8×	374 2.7×	141 1.1×	98 1.0×	42 0.6×	58	589
Ryōtarō Satō Japan	11	176 0.6×	283 2.0×	94 0.8×	111 1.2×	17 0.3×	93	465
Mieczysław Altman United States	10	102 0.3×	80 0.6×	118 1.0×	86 0.9×	67 1.0×	34	321
P. H. Maserick United States	10	153 0.5×	151 1.1×	133 1.1×	97 1.0×	37 0.6×	23	356
Martin E. Muldoon Canada	15	646 2.0×	95 0.7×	138 1.1×	142 1.5×	151 2.3×	64	751
Robert Sine United States	12	154 0.5×	227 1.6×	247 2.0×	250 2.6×	31 0.5×	52	479
John J. F. Fournier Canada	10	291 0.9×	206 1.5×	79 0.6×	70 0.7×	40 0.6×	32	452
Stephen R. Bernfeld United States	10	153 0.5×	52 0.4×	76 0.6×	82 0.9×	108 1.6×	41	312

Countries citing papers authored by Peter Volkmann

Since Specialization

Citations

This map shows the geographic impact of Peter Volkmann's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Volkmann with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Volkmann more than expected).

Fields of papers citing papers by Peter Volkmann

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Volkmann. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Volkmann. The network helps show where Peter Volkmann may publish in the future.

Co-authorship network of co-authors of Peter Volkmann

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Volkmann. A scholar is included among the top collaborators of Peter Volkmann based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter Volkmann. Peter Volkmann is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Badora, Roman, et al.. (2016). More on Hyers' theorem. Journal of Mathematical Analysis and Applications. 447(2). 1116–1125. 1 indexed citations

Ger, Roman, Attila Gilányi, & Peter Volkmann. (2010). Completeness of normed spaces as a consequence of the stability of some functional equations. University of Debrecen Electronic Archive (University of Debrecen). 23. 1 indexed citations

Volkmann, Peter, et al.. (1998). On the positivity of semigroups of operators. Commentationes Mathematicae Universitatis Carolinae. 39(3). 483–489. 5 indexed citations

Ger, Roman & Peter Volkmann. (1998). On sums of linear and bounded mappings. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 68(1). 103–108. 3 indexed citations

Páles, Zsolt, Peter Volkmann, & R. Duncan Luce. (1998). Hyers–Ulam stability of functional equations with a square-symmetric operation. Proceedings of the National Academy of Sciences. 95(22). 12772–12775. 35 indexed citations

Redheffer, Ray & Peter Volkmann. (1996). Differential Equations in Operator Algebras. Journal of Differential Equations. 130(2). 356–367. 3 indexed citations

Redheffer, Ray & Peter Volkmann. (1996). On Certain Binary Functions in Operator Algebras. Journal of Differential Equations. 130(2). 368–376. 1 indexed citations

Baron, Karol, et al.. (1996). On functions having Cauchy differences in some prescribed sets. Aequationes Mathematicae. 52(1). 254–259. 5 indexed citations

Baron, Karol, Franz Halter‐Koch, & Peter Volkmann. (1995). On orthogonally exponential functions. Archiv der Mathematik. 64(5). 410–414. 9 indexed citations

10.

Baron, Karol & Peter Volkmann. (1988). On the Cauchy equation modulo Z. Fundamenta Mathematicae. 131(2). 143–148. 13 indexed citations

11.

Volkmann, Lutz & Peter Volkmann. (1985). Über die Charakterisierung der Funktionf(x)=x durch Funktionalgleichungen, I. Aequationes Mathematicae. 28(1). 151–155.

12.

Volkmann, Peter. (1984). Démonstration d'un théorème de coincidence par la méthode de Granas. 235. 4 indexed citations

13.

Volkmann, Peter. (1984). Sur les fonctions simultanément suradditives et surmultiplicatives. 28(2). 181. 10 indexed citations

14.

Volkmann, Peter, et al.. (1983). Differential inequalities for terminal value problems. Nonlinear Analysis. 7(12). 1347–1350. 1 indexed citations

15.

Volkmann, Peter & H. Weigel. (1981). Systeme von Funktionalgleichungen. Archiv der Mathematik. 37(1). 443–449. 5 indexed citations

16.

Redheffer, Ray & Peter Volkmann. (1979). Differential equations in operator algebras. Mathematische Annalen. 239(2). 97–110. 4 indexed citations

17.

Volkmann, Peter, et al.. (1978). Randwertprobleme für gewöhnliche Differentialgleichungen in konvexen Teilmengen eines Banachraumes. Journal of Differential Equations. 27(1). 138–143. 7 indexed citations

18.

Schmitt, Klaus & Peter Volkmann. (1976). Boundary value problems for second order differential equations in convex subsets of a Banach space. Transactions of the American Mathematical Society. 218(0). 397–405. 18 indexed citations

19.

Volkmann, Peter. (1975). �ber die Invarianz-S�tze von Bony und Brezis in normierten R�umen. Archiv der Mathematik. 26(1). 89–93. 3 indexed citations

20.

Volkmann, Peter. (1972). Gew�hnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorr�umen. Mathematische Zeitschrift. 127(2). 157–164. 74 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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