I.K. Purnaras

532 total citations
47 papers, 428 citations indexed

About

I.K. Purnaras is a scholar working on Applied Mathematics, Numerical Analysis and Public Health, Environmental and Occupational Health. According to data from OpenAlex, I.K. Purnaras has authored 47 papers receiving a total of 428 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Applied Mathematics, 35 papers in Numerical Analysis and 13 papers in Public Health, Environmental and Occupational Health. Recurrent topics in I.K. Purnaras's work include Nonlinear Differential Equations Analysis (38 papers), Differential Equations and Numerical Methods (29 papers) and Numerical methods for differential equations (18 papers). I.K. Purnaras is often cited by papers focused on Nonlinear Differential Equations Analysis (38 papers), Differential Equations and Numerical Methods (29 papers) and Numerical methods for differential equations (18 papers). I.K. Purnaras collaborates with scholars based in Greece, United States and Russia. I.K. Purnaras's co-authors include Ch. G. Philos, Sotiris K. Ntouyas, Johnny Henderson, Y. G. Sficas, P. Ch. Tsamatos, T. A. Burton, I. P. Stavroulakis and George E. Chatzarakis and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Applied Mathematics and Computation and Computers & Mathematics with Applications.

In The Last Decade

I.K. Purnaras

45 papers receiving 356 citations

Peers

I.K. Purnaras

PHEOH

CSE

Binggen Zhang China

Paul W. Spikes United States

Seshadev Padhi India

R.P. Agarwal Singapore

Jerzy Popenda Poland

Chuanxi Qian United States

B.G. Zhang China

Mariella Cecchi Italy

Ewa Schmeidel Poland

Wei Ding China

Binggen Zhang China

I.K. Purnaras

322 ×0.9

205 ×0.7

107 ×0.7

PHEOH

66 ×0.6

97 ×2.1

CSE

Citations per year, relative to I.K. Purnaras I.K. Purnaras (= 1×) peers Binggen Zhang

Countries citing papers authored by I.K. Purnaras

Since Specialization

Citations

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

Fields of papers citing papers by I.K. Purnaras

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by I.K. Purnaras. 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 I.K. Purnaras. The network helps show where I.K. Purnaras may publish in the future.

Co-authorship network of co-authors of I.K. Purnaras

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Purnaras, I.K., et al.. (2017). Equivalence of differential, fractional differential, and integral equations: Fixed points by open mappings. Journal | MESA. 8(3). 293–305. 2 indexed citations

Burton, T. A., et al.. (2016). Integral and fractional equations, positive solutions, and Schaefer's fixed point theorem. Opuscula Mathematica. 36(4). 431–431. 9 indexed citations

Burton, T. A. & I.K. Purnaras. (2011). Lp-solutions of singular integro-differential equations. Journal of Mathematical Analysis and Applications. 386(2). 830–841. 8 indexed citations

Ntouyas, Sotiris K. & I.K. Purnaras. (2009). Existence result for mixed Voltera-Fredholm type neutral functional integro differential equations in Banach spaces. Nonlinear studies. 16(2). 135–148. 1 indexed citations

Philos, Ch. G. & I.K. Purnaras. (2009). An asymptotic property of the solutions to second order linear nonautonomous delay differential equations. Mathematical and Computer Modelling. 49(7-8). 1350–1358. 5 indexed citations

Henderson, Johnny, Sotiris K. Ntouyas, & I.K. Purnaras. (2008). Positive solutions for systems of three-point nonlinear discrete boundary value problems. Neural, Parallel & Scientific Computations archive. 16(2). 209–224. 20 indexed citations

Henderson, Johnny, Sotiris K. Ntouyas, & I.K. Purnaras. (2008). POSITIVE SOLUTIONS FOR SYSTEMS OF SECOND ORDER FOUR-POINT NONLINEAR BOUNDARY VALUE PROBLEMS. Journal of the American Academy of Audiology. 13(7). 356–66. 10 indexed citations

Philos, Ch. G. & I.K. Purnaras. (2006). On non-autonomous linear difference equations with continuous variable. The Journal of Difference Equations and Applications. 12(7). 651–668. 8 indexed citations

Philos, Ch. G., I.K. Purnaras, & Y. G. Sficas. (2006). Asymptotic behavior of the oscillatory solutions to first order non-autonomous linear neutral delay differential equations of unstable type. Mathematical and Computer Modelling. 46(3-4). 422–438. 3 indexed citations

10.

Philos, Ch. G. & I.K. Purnaras. (2005). Asymptotic behaviour and stability to linear non-autonomous neutral delay difference equations. The Journal of Difference Equations and Applications. 11(6). 503–513. 5 indexed citations

11.

Philos, Ch. G. & I.K. Purnaras. (2004). The behavior of the solutions of periodic linear neutral delay difference equations. Journal of Computational and Applied Mathematics. 175(2). 209–230. 8 indexed citations

12.

Philos, Ch. G. & I.K. Purnaras. (2004). The behavior of solutions of linear volterra difference equations with infinite delay. Computers & Mathematics with Applications. 47(10-11). 1555–1563. 11 indexed citations

13.

Philos, Ch. G., I.K. Purnaras, & I. P. Stavroulakis. (2004). Sufficient Conditions for the Oscillation of Delay Difference Equations. The Journal of Difference Equations and Applications. 10(4). 419–435. 4 indexed citations

14.

Philos, Ch. G., et al.. (2004). On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay. Georgian Mathematical Journal. 8 indexed citations

15.

Purnaras, I.K., et al.. (2004). Asymptotic to polynomials solutions for nonlinear differential equations. Nonlinear Analysis. 59(7). 1157–1179. 9 indexed citations

16.

Philos, Ch. G. & I.K. Purnaras. (2001). Periodic first order linear neutral delay differential equations. Applied Mathematics and Computation. 117(2-3). 203–222. 27 indexed citations

17.

Philos, Ch. G., et al.. (1998). Some results on the behavior of the solutions of a linear delay difference equation with periodic coefficients. Applicable Analysis. 69(1-2). 83–104. 13 indexed citations

18.

Philos, Ch. G., et al.. (1997). On the oscillation of some linear difference equations with periodic coefficients. Journal of Computational and Applied Mathematics. 84(2). 219–241. 3 indexed citations

19.

Philos, Ch. G., I.K. Purnaras, & Y. G. Sficas. (1994). Global attractivity in a nonlinear difference equation. Applied Mathematics and Computation. 62(2-3). 249–258. 36 indexed citations

20.

Philos, Ch. G. & I.K. Purnaras. (1992). Oscillations in superlinear differential equations of second order. Journal of Mathematical Analysis and Applications. 165(1). 1–11. 17 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.

Explore authors with similar magnitude of impact