Juan A. Gatica

786 total citations
26 papers, 629 citations indexed

About

Juan A. Gatica is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Juan A. Gatica has authored 26 papers receiving a total of 629 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Applied Mathematics, 10 papers in Computational Theory and Mathematics and 9 papers in Geometry and Topology. Recurrent topics in Juan A. Gatica's work include Nonlinear Differential Equations Analysis (7 papers), Differential Equations and Numerical Methods (7 papers) and Fixed Point Theorems Analysis (7 papers). Juan A. Gatica is often cited by papers focused on Nonlinear Differential Equations Analysis (7 papers), Differential Equations and Numerical Methods (7 papers) and Fixed Point Theorems Analysis (7 papers). Juan A. Gatica collaborates with scholars based in United States, Chile and South Korea. Juan A. Gatica's co-authors include Paul Waltman, A. M. Fink, Vladimir Oliker, W. A. Kirk, Hal L. Smith, Yi Li, Joseph W.-H. So, H. I. Freedman, Raymond L. Smith and Yun-Ho Kim and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, SIAM Review and Journal of Differential Equations.

In The Last Decade

Juan A. Gatica

26 papers receiving 518 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Juan A. Gatica United States 14 484 261 242 121 86 26 629
Luís Sanchez Portugal 16 522 1.1× 296 1.1× 247 1.0× 80 0.7× 111 1.3× 53 656
George Seifert United States 15 420 0.9× 295 1.1× 126 0.5× 103 0.9× 70 0.8× 65 697
Milan Tvrdý Czechia 14 528 1.1× 329 1.3× 183 0.8× 111 0.9× 125 1.5× 58 663
Daniel F. Shea United States 14 351 0.7× 139 0.5× 138 0.6× 84 0.7× 178 2.1× 29 571
Philip Korman United States 17 747 1.5× 253 1.0× 467 1.9× 56 0.5× 158 1.8× 99 916
Xiaojing Yang China 13 497 1.0× 170 0.7× 108 0.4× 78 0.6× 94 1.1× 81 630
Rodrigo López Pouso Spain 15 628 1.3× 364 1.4× 226 0.9× 312 2.6× 62 0.7× 63 875
Štefan Schwabik Czechia 14 558 1.2× 188 0.7× 156 0.6× 96 0.8× 261 3.0× 59 729
George L. Karakostas Greece 15 671 1.4× 324 1.2× 82 0.3× 131 1.1× 59 0.7× 48 776
J. Bebernes United States 18 559 1.2× 300 1.1× 373 1.5× 37 0.3× 206 2.4× 46 826

Countries citing papers authored by Juan A. Gatica

Since Specialization
Citations

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

Fields of papers citing papers by Juan A. Gatica

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Juan A. Gatica. 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 Juan A. Gatica. The network helps show where Juan A. Gatica may publish in the future.

Co-authorship network of co-authors of Juan A. Gatica

This figure shows the co-authorship network connecting the top 25 collaborators of Juan A. Gatica. A scholar is included among the top collaborators of Juan A. Gatica 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 Juan A. Gatica. Juan A. Gatica is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
2.
Gatica, Juan A. & Yun-Ho Kim. (2017). Positive solutions of superlinear and sublinear boundary value problems. Korean Journal of Mathematics. 25(1). 37–43. 1 indexed citations
3.
Gatica, Juan A., et al.. (1999). Positive solutions to semilinear problems with coefficient that changes sign. Nonlinear Analysis. 37(4). 501–510. 24 indexed citations
4.
Fink, A. M., et al.. (1997). Nonnegative Solutions of Quasilinear Elliptic Problems with Nonnegative Coefficients. Journal of Mathematical Analysis and Applications. 206(1). 1–9. 11 indexed citations
5.
Fink, A. M., et al.. (1995). Nonnegative solutions of the radial Laplacian with nonlinearity that changes sign. Proceedings of the American Mathematical Society. 123(5). 1393–1398. 24 indexed citations
6.
Fink, A. M. & Juan A. Gatica. (1993). Positive Solutions of Second Order Systems of Boundary Value Problems. Journal of Mathematical Analysis and Applications. 180(1). 93–108. 32 indexed citations
7.
Fink, A. M., et al.. (1991). Approximation of Solutions of Singular Second Order Boundary Value Problems. SIAM Journal on Mathematical Analysis. 22(2). 440–462. 30 indexed citations
8.
Fink, A. M. & Juan A. Gatica. (1990). Positive almost periodic solutions of some delay integral equations. Journal of Differential Equations. 83(1). 166–178. 32 indexed citations
9.
Gatica, Juan A., Vladimir Oliker, & Paul Waltman. (1989). Singular nonlinear boundary value problems for second-order ordinary differential equations. Journal of Differential Equations. 79(1). 62–78. 173 indexed citations
10.
Gatica, Juan A. & Joseph W.-H. So. (1988). Predator-prey models with almost periodic coefficients. Applicable Analysis. 27(1-3). 143–152. 12 indexed citations
11.
12.
Gatica, Juan A. & Paul Waltman. (1984). Existence and uniqueness of solutions of a functional differential equation modeling thresholds. Nonlinear Analysis. 8(10). 1215–1222. 11 indexed citations
13.
Gatica, Juan A., et al.. (1979). Fixed point theorems for mappings in ordered Banach spaces. Journal of Mathematical Analysis and Applications. 71(2). 547–557. 47 indexed citations
14.
Freedman, H. I. & Juan A. Gatica. (1979). On the boundedness of lymphocytes in deterministic threshold models of humoral immune response. Rocky Mountain Journal of Mathematics. 9(1). 1 indexed citations
15.
Gatica, Juan A. & Hal L. Smith. (1977). Fixed point techniques in a cone with applications. Journal of Mathematical Analysis and Applications. 61(1). 58–71. 27 indexed citations
16.
Freedman, H. I. & Juan A. Gatica. (1977). A threshold model simulating humoral immune response to replicating antigens. Mathematical Biosciences. 37(1-2). 113–134. 6 indexed citations
17.
Gatica, Juan A.. (1974). Fixed point theorems for k-set-contractions and pseudocontractive mappings. Journal of Mathematical Analysis and Applications. 46(3). 555–564. 6 indexed citations
18.
Gatica, Juan A. & W. A. Kirk. (1974). Fixed point theorems for contraction mappings with applications to nonexpansive and pseudo-contractive mappings. Rocky Mountain Journal of Mathematics. 4(1). 22 indexed citations
19.
Gatica, Juan A., et al.. (1972). Fixed Point Theorems for Lipschitzian Pseudo-Contractive Mappings. Proceedings of the American Mathematical Society. 36(1). 111–111. 14 indexed citations
20.
Gatica, Juan A. & W. A. Kirk. (1972). Fixed point theorems for Lipschitzian pseudo-contractive mappings. Proceedings of the American Mathematical Society. 36(1). 111–111. 27 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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