Stephen R. Bernfeld

431 total citations
41 papers, 312 citations indexed

About

Stephen R. Bernfeld is a scholar working on Numerical Analysis, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Stephen R. Bernfeld has authored 41 papers receiving a total of 312 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Numerical Analysis, 15 papers in Applied Mathematics and 14 papers in Computational Theory and Mathematics. Recurrent topics in Stephen R. Bernfeld's work include Differential Equations and Numerical Methods (16 papers), Numerical methods for differential equations (14 papers) and Nonlinear Differential Equations Analysis (11 papers). Stephen R. Bernfeld is often cited by papers focused on Differential Equations and Numerical Methods (16 papers), Numerical methods for differential equations (14 papers) and Nonlinear Differential Equations Analysis (11 papers). Stephen R. Bernfeld collaborates with scholars based in United States, Italy and Japan. Stephen R. Bernfeld's co-authors include V. Lakshmikantham, Jagdish Chandra, C. Corduneanu, G.S. Ladde, Pierre-A. Vuillermot, J. Eisenfeld, R. D. Driver, Andrzej Lasota, P. Negrini and James A. Yorke and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, SIAM Review and Transactions of the American Mathematical Society.

In The Last Decade

Stephen R. Bernfeld

33 papers receiving 212 citations

Peers

Stephen R. Bernfeld

CTM

CSE

Giovanni Vidossich Italy

Sudhakar G. Pandit United States

S. M. Shah United States

B. Nagy Hungary

Luigi Amerio Switzerland

I. Bihari Hungary

Daniel C. Biles United States

Mieczysław Altman United States

Alfonso Vignoli Italy

Elliott Ward Cheney United States

Giovanni Vidossich Italy

Stephen R. Bernfeld

152 ×1.0

89 ×0.8

94 ×1.1

82 ×1.1

CTM

47 ×0.7

CSE

Citations per year, relative to Stephen R. Bernfeld Stephen R. Bernfeld (= 1×) peers Giovanni Vidossich

Countries citing papers authored by Stephen R. Bernfeld

Since Specialization

Citations

This map shows the geographic impact of Stephen R. Bernfeld'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 Stephen R. Bernfeld with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stephen R. Bernfeld more than expected).

Fields of papers citing papers by Stephen R. Bernfeld

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen R. Bernfeld. 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 Stephen R. Bernfeld. The network helps show where Stephen R. Bernfeld may publish in the future.

Co-authorship network of co-authors of Stephen R. Bernfeld

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen R. Bernfeld. A scholar is included among the top collaborators of Stephen R. Bernfeld 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 Stephen R. Bernfeld. Stephen R. Bernfeld 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

Bernfeld, Stephen R., et al.. (2001). Total Stability of Scalar Differential Equations Determined from Their Limiting Functions. Journal of Mathematical Analysis and Applications. 257(2). 251–273. 2 indexed citations

Bernfeld, Stephen R., et al.. (1998). Large-time asymptotic equivalence for a class of non-autonomous semilinear parabolic equations. Bulletin des Sciences Mathématiques. 122(5). 337–368. 11 indexed citations

Bernfeld, Stephen R.. (1991). Existence and stability of bifurcating tori in a neighborhood of an equilibrium position. Journal of Mathematical Analysis and Applications. 155(2). 541–561.

Bernfeld, Stephen R., et al.. (1986). Hopf bifurcation and related stability problems for periodic differential systems. Journal of Mathematical Analysis and Applications. 116(2). 427–438. 2 indexed citations

Bernfeld, Stephen R.. (1985). Catastrophe Theory (V. I. Arnold). SIAM Review. 27(1). 90–91. 1 indexed citations

Bernfeld, Stephen R., et al.. (1984). A topological method for vector-valued and nth-order nonlinear boundary value problems. Journal of Mathematical Analysis and Applications. 102(2). 488–508. 4 indexed citations

Bernfeld, Stephen R., et al.. (1980). Generalized hopf bifurcation and h-asymptotic stability. Nonlinear Analysis. 4(6). 1091–1107. 9 indexed citations

Bernfeld, Stephen R. & V. Lakshmikantham. (1980). Practical stability and Lyapunov functions. Tohoku Mathematical Journal. 32(4). 15 indexed citations

Bernfeld, Stephen R., et al.. (1978). A nonlinear variation of constants method for integro differential and integral equations. Applied Mathematics and Computation. 4(1). 1–14. 8 indexed citations

10.

Bernfeld, Stephen R.. (1977). The extendability and uniqueness of solutions of ordinary differential equations. Pacific Journal of Mathematics. 69(2). 307–315. 29 indexed citations

11.

Bernfeld, Stephen R., et al.. (1977). Fixed point theorems of operators with ppf dependence in banach spaces. Applicable Analysis. 6(4). 271–280. 33 indexed citations

12.

Bernfeld, Stephen R., G.S. Ladde, & V. Lakshmikantham. (1975). Existence of solutions of two point boundary value problems for nonlinear systems. Journal of Differential Equations. 18(1). 103–110. 14 indexed citations

13.

Bernfeld, Stephen R., V. Lakshmikantham, & S. Leela. (1973). Nonlinear boundary value problems and several Lyapunov functions. Journal of Mathematical Analysis and Applications. 42(3). 545–553. 1 indexed citations

14.

Bernfeld, Stephen R. & V. Lakshmikantham. (1973). Existence of solutions of ordinary differential equations with generalized boundary conditions. Transactions of the American Mathematical Society. 182(0). 261–274. 4 indexed citations

15.

Bernfeld, Stephen R. & V. Lakshmikantham. (1973). Differential inequalities and the Okamura function. Annali di Matematica Pura ed Applicata (1923 -). 96(1). 89–105. 1 indexed citations

16.

Bernfeld, Stephen R.. (1972). Perturbing Uniform Ultimate Bounded Differential Systems. SIAM Journal on Mathematical Analysis. 3(2). 358–370. 9 indexed citations

17.

Bernfeld, Stephen R. & James A. Yorke. (1972). The Behavior of Oscillatory Solutions of $x''(t) + p(t)g(x(t)) = 0$. SIAM Journal on Mathematical Analysis. 3(4). 654–667. 1 indexed citations

18.

Bernfeld, Stephen R., et al.. (1971). Quickly Oscillating Solutions of Autonomous Ordinary Differential Equations. Proceedings of the American Mathematical Society. 30(3). 519–519. 3 indexed citations

19.

Bernfeld, Stephen R. & Andrzej Lasota. (1971). Quickly oscillating solutions of autonomous ordinary differential equations. Proceedings of the American Mathematical Society. 30(3). 519–526. 3 indexed citations

20.

Bernfeld, Stephen R.. (1970). Liapunov fundtions and global existence without uniqueness. Proceedings of the American Mathematical Society. 25(3). 571–571. 2 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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