William T. Patula

889 total citations
26 papers, 759 citations indexed

About

William T. Patula is a scholar working on Applied Mathematics, Numerical Analysis and Public Health, Environmental and Occupational Health. According to data from OpenAlex, William T. Patula has authored 26 papers receiving a total of 759 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Applied Mathematics, 12 papers in Numerical Analysis and 10 papers in Public Health, Environmental and Occupational Health. Recurrent topics in William T. Patula's work include Nonlinear Differential Equations Analysis (15 papers), Mathematical and Theoretical Epidemiology and Ecology Models (10 papers) and Numerical methods for differential equations (7 papers). William T. Patula is often cited by papers focused on Nonlinear Differential Equations Analysis (15 papers), Mathematical and Theoretical Epidemiology and Ecology Models (10 papers) and Numerical methods for differential equations (7 papers). William T. Patula collaborates with scholars based in United States and Taiwan. William T. Patula's co-authors include Sui Sun Cheng, H.D. Voulov, Man Kam Kwong, J. S. W. Wong, Calvin D. Ahlbrandt, T. A. Burton, Paul Waltman, Ronald Grimmer, Stephen Clark and F. V. Atkinson and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Differential Equations and Computers & Mathematics with Applications.

In The Last Decade

William T. Patula

25 papers receiving 597 citations

Peers

William T. Patula

PHEOH

George L. Karakostas Greece

Jerzy Popenda Poland

Y. G. Sficas Greece

Philip Korman United States

M. Federson Brazil

Ch. G. Philos Greece

Mariella Cecchi Italy

M. Rama Mohana Rao India

Ronald M. Mathsen United States

Wei Ding China

George L. Karakostas Greece

William T. Patula

671 ×1.1

324 ×0.8

230 ×0.7

PHEOH

131 ×1.2

59 ×0.6

Citations per year, relative to William T. Patula William T. Patula (= 1×) peers George L. Karakostas

Countries citing papers authored by William T. Patula

Since Specialization

Citations

This map shows the geographic impact of William T. Patula'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 William T. Patula with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William T. Patula more than expected).

Fields of papers citing papers by William T. Patula

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William T. Patula. 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 William T. Patula. The network helps show where William T. Patula may publish in the future.

Co-authorship network of co-authors of William T. Patula

This figure shows the co-authorship network connecting the top 25 collaborators of William T. Patula. A scholar is included among the top collaborators of William T. Patula 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 William T. Patula. William T. Patula 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

Patula, William T. & H.D. Voulov. (2004). On a Max Type Recurrence Relation with Periodic Coefficients. The Journal of Difference Equations and Applications. 10(3). 329–338. 29 indexed citations

Patula, William T., et al.. (2002). A reciprocal difference equation with maximum. Computers & Mathematics with Applications. 43(8-9). 1021–1026. 45 indexed citations

Patula, William T. & H.D. Voulov. (2002). On the oscillation and periodic character of a third order rational difference equation. Proceedings of the American Mathematical Society. 131(3). 905–909. 21 indexed citations

Patula, William T., et al.. (2000). Oscillation and Global Asymptotic Stability. Journal of Mathematical Analysis and Applications. 252(1). 364–375. 1 indexed citations

Patula, William T., et al.. (1998). Properties of a Certain Lyness Equation. Journal of Mathematical Analysis and Applications. 218(2). 458–478. 12 indexed citations

Ahlbrandt, Calvin D. & William T. Patula. (1995). Recessive solutions of block tridiagonal nonhomogeneous systems. The Journal of Difference Equations and Applications. 1(1). 1–15. 13 indexed citations

Ahlbrandt, Calvin D., et al.. (1994). A discrete interpretation of Reid's roundabout theorem for generalized differential systems. Computers & Mathematics with Applications. 28(1-3). 11–21. 6 indexed citations

Patula, William T., et al.. (1989). Bounded and zero convergent solutions of second-order difference equations. Journal of Mathematical Analysis and Applications. 141(2). 463–483. 47 indexed citations

Kwong, Man Kam & William T. Patula. (1987). Comparison theorems for first order linear delay equations. Journal of Differential Equations. 70(2). 275–292. 8 indexed citations

10.

Kwong, Man Kam, et al.. (1987). Oscillatory Second Order Linear Difference Equations and Riccati Equations. SIAM Journal on Mathematical Analysis. 18(1). 54–63. 52 indexed citations

11.

Kwong, Man Kam, et al.. (1985). Riccati type transformations for second-order linear difference equations, II. Journal of Mathematical Analysis and Applications. 107(1). 182–196. 36 indexed citations

12.

Patula, William T., et al.. (1985). Growth and oscillation properties of solutions of a fourth order linear difference equation. The Journal of the Australian Mathematical Society Series B Applied Mathematics. 26(3). 310–328. 31 indexed citations

13.

Patula, William T., et al.. (1983). A second-order nonlinear difference equation: Oscillation and asymptotic behavior. Journal of Mathematical Analysis and Applications. 91(1). 9–29. 106 indexed citations

14.

Patula, William T., et al.. (1981). Riccati type transformations for second-order linear difference equations. Journal of Mathematical Analysis and Applications. 82(2). 451–462. 73 indexed citations

15.

Atkinson, F. V., Ronald Grimmer, & William T. Patula. (1980). Nonoscillatory solutions of forced second order linear equations. - II. Annali di Matematica Pura ed Applicata (1923 -). 126(1). 299–317. 1 indexed citations

16.

Patula, William T., et al.. (1980). Single Sources in Class II PSD Areas. Journal of the Air Pollution Control Association. 30(1). 44–49. 1 indexed citations

17.

Patula, William T.. (1979). Growth, Oscillation and Comparison Theorems for Second Order Linear Difference Equations. SIAM Journal on Mathematical Analysis. 10(6). 1272–1279. 47 indexed citations

18.

Grimmer, Ronald & William T. Patula. (1976). Nonoscillatory solutions of forced second-order linear equations. Journal of Mathematical Analysis and Applications. 56(2). 452–459. 7 indexed citations

19.

Patula, William T.. (1975). On the Distance Between Zeroes. Proceedings of the American Mathematical Society. 52(1). 247–247. 5 indexed citations

20.

Patula, William T.. (1974). A Limit Point Criterion for a Fourth Order Differential Operator. Journal of the London Mathematical Society. s2-8(2). 217–225. 1 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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