Paul W. Spikes

519 total citations
41 papers, 387 citations indexed

About

Paul W. Spikes is a scholar working on Applied Mathematics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Paul W. Spikes has authored 41 papers receiving a total of 387 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Applied Mathematics, 35 papers in Numerical Analysis and 9 papers in Computational Theory and Mathematics. Recurrent topics in Paul W. Spikes's work include Nonlinear Differential Equations Analysis (35 papers), Differential Equations and Numerical Methods (35 papers) and Differential Equations and Boundary Problems (10 papers). Paul W. Spikes is often cited by papers focused on Nonlinear Differential Equations Analysis (35 papers), Differential Equations and Numerical Methods (35 papers) and Differential Equations and Boundary Problems (10 papers). Paul W. Spikes collaborates with scholars based in United States, Greece and India. Paul W. Spikes's co-authors include John R. Graef, E. Thandapani, Chenyin Qian, Samuel M. Rankin, P. V. Sundaram, Hiroshi Onose and Yuichi Kitamura and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Applied Mathematics and Computation and Journal of Differential Equations.

In The Last Decade

Paul W. Spikes

37 papers receiving 312 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paul W. Spikes United States 12 350 300 76 52 48 41 387
Binggen Zhang China 12 322 0.9× 205 0.7× 107 1.4× 66 1.3× 97 2.0× 30 379
I.K. Purnaras Greece 11 375 1.1× 278 0.9× 152 2.0× 110 2.1× 46 1.0× 47 428
Chuanxi Qian United States 10 279 0.8× 193 0.6× 82 1.1× 57 1.1× 58 1.2× 29 327
N. Parhi India 12 425 1.2× 329 1.1× 41 0.5× 56 1.1× 66 1.4× 54 452
Jerzy Popenda Poland 11 338 1.0× 201 0.7× 159 2.1× 58 1.1× 30 0.6× 36 408
Seshadev Padhi India 10 249 0.7× 188 0.6× 59 0.8× 102 2.0× 38 0.8× 46 313
B.G. Zhang China 14 389 1.1× 304 1.0× 191 2.5× 58 1.1× 79 1.6× 31 456
I. Kubiaczyk Poland 11 271 0.8× 98 0.3× 53 0.7× 89 1.7× 78 1.6× 55 358
Fozi M. Dannan Syria 8 175 0.5× 92 0.3× 84 1.1× 53 1.0× 72 1.5× 18 276
R.P. Agarwal Singapore 8 374 1.1× 208 0.7× 53 0.7× 241 4.6× 60 1.3× 19 427

Countries citing papers authored by Paul W. Spikes

Since Specialization
Citations

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

Fields of papers citing papers by Paul W. Spikes

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Paul W. Spikes. 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 Paul W. Spikes. The network helps show where Paul W. Spikes may publish in the future.

Co-authorship network of co-authors of Paul W. Spikes

This figure shows the co-authorship network connecting the top 25 collaborators of Paul W. Spikes. A scholar is included among the top collaborators of Paul W. Spikes 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 Paul W. Spikes. Paul W. Spikes 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.
Graef, John R., Chenyin Qian, & Paul W. Spikes. (1998). Stability in a population model. Applied Mathematics and Computation. 89(1-3). 119–132. 11 indexed citations
2.
Thandapani, E., et al.. (1998). Monotone properties of certain classes of solutions of second-order difference equations. Computers & Mathematics with Applications. 36(10-12). 291–297. 21 indexed citations
3.
Thandapani, E., P. V. Sundaram, John R. Graef, & Paul W. Spikes. (1997). Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order. Mathematica Slovaca. 47(5). 539–551. 11 indexed citations
4.
Graef, John R., Chenyin Qian, & Paul W. Spikes. (1996). Oscillation and Global Attractivity in a Periodic Delay Equation. Canadian Mathematical Bulletin. 39(3). 275–283. 24 indexed citations
5.
Graef, John R., et al.. (1996). Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations. The Journal of the Australian Mathematical Society Series B Applied Mathematics. 38(2). 163–171. 15 indexed citations
6.
Thandapani, E., et al.. (1995). Classification of nonoscillatory solutions of higher order neutral type difference equations. Archivum Mathematicum. 31(4). 263–277. 6 indexed citations
7.
Graef, John R. & Paul W. Spikes. (1994). Asymptotic and oscillatory behavior of solutions of nonlinear neutral delay equations of arbitrary order. Applied Mathematics and Computation. 65(1-3). 209–221. 1 indexed citations
8.
Graef, John R. & Paul W. Spikes. (1994). Boundedness and asymptotic behavior of solutions of a forced difference equation. International Journal of Mathematics and Mathematical Sciences. 17(2). 397–400. 5 indexed citations
9.
Graef, John R. & Paul W. Spikes. (1992). On the oscillation of an nth-order nonlinear neutral delay differential equation. Journal of Computational and Applied Mathematics. 41(1-2). 35–40. 10 indexed citations
10.
Graef, John R., et al.. (1991). On the asymptotic behavior of solutions of a second order nonlinear neutral delay differential equation. Journal of Mathematical Analysis and Applications. 156(1). 23–39. 21 indexed citations
11.
Graef, John R., et al.. (1991). Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations. Journal of Mathematical Analysis and Applications. 155(2). 562–571. 12 indexed citations
12.
Graef, John R., et al.. (1991). On the behavior of solutions of a first order nonlinear neutral delay differential equation. Applicable Analysis. 40(2-3). 111–121. 8 indexed citations
13.
Graef, John R. & Paul W. Spikes. (1987). On the Nonoscillation, Convergence to Zero, and Integrability of Solutions of a Second Order Nonlinear Differential Equation. Mathematische Nachrichten. 130(1). 139–149. 4 indexed citations
14.
Graef, John R. & Paul W. Spikes. (1983). On the nonlinear limit-point/limit-circle problem. Nonlinear Analysis. 7(8). 851–871. 19 indexed citations
15.
Graef, John R., et al.. (1980). Asymptotic and oscillatory behavior of superlinear differential equations with deviating arguments. Journal of Mathematical Analysis and Applications. 75(1). 134–148. 4 indexed citations
16.
Graef, John R. & Paul W. Spikes. (1978). Boundedness and convergence to zero of solutions of a forced second-order nonlinear differential equation. Journal of Mathematical Analysis and Applications. 62(2). 295–309. 16 indexed citations
17.
Graef, John R. & Paul W. Spikes. (1977). Nonoscillation criteria for differential equations of the second order. Hiroshima Mathematical Journal. 7(3). 1 indexed citations
18.
Graef, John R. & Paul W. Spikes. (1977). Asymptotic properties of solutions of functional differential equations of arbitrary order. Journal of Mathematical Analysis and Applications. 60(2). 339–348. 5 indexed citations
19.
Graef, John R. & Paul W. Spikes. (1975). Sufficient conditions for nonoscillation of a second order nonlinear differential equation. Proceedings of the American Mathematical Society. 50(1). 289–289. 11 indexed citations
20.
Graef, John R. & Paul W. Spikes. (1975). Asymptotic behavior of solutions of a second order nonlinear differential equation. Journal of Differential Equations. 17(2). 461–476. 37 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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