[1] Appleby, J. A. D., Patterson, D. D.: On necessary and sufficient conditions for preserving convergence rates to equilibrium in deterministically and stochastically perturbed differential equations with regularly varying nonlinearity. Recent advances in delay differential and difference equations, 1–85, 94, Springer, Cham, 2014. MR 3280185

[2] Avakumović, V. G.: Sur l’équation différentielle de Thomas–Fermi. Acad. Serbe Sci. Publ. Inst. Math. 1 (1947), 101–113. MR 0028491

[3] Bingham, N. H., Goldie, C. M., Teugels, J. L.: Regular variation. Cambridge Univ. Press, 1987. MR 0898871

[4] Bingham, N. H.: Regular variation in probability theory. Publ. Inst. Math. 48 (1990), 169–180. MR 1105151

[5] Bingham, N. H.: Regular variation and probability: the early years. J. Comput. Appl. Math. 200 (2007), 357–363. DOI 10.1016/j.cam.2005.11.034 | MR 2276837

[6] Bingham, N. H.: On scaling and regular variation. Publ. Inst. Math. 97 (2015), 161–174. DOI 10.2298/PIM140202002B | MR 3331244

[7] Bingham, N. H., Ostaszewski, A. J.: Extremes and regular variation. Progr. Probab. 78 (2021), 121–137. DOI 10.1007/978-3-030-83309-1_7 | MR 4425788

[8] Bohner, M., Peterson, A. C.: Dynamic equations on time scales: An introduction with applications. Birkhäuser, Boston, 2001. MR 1843232

[9] Bojanić, R., Seneta, E.: A unified theory of regularly varying sequences. Math. Z. 134 (1973), 91–106. DOI 10.1007/BF01214468 | MR 0333082

[10] de Bruijn, N. G., van Lint, J. H.: Incomplete sums of multiplicative functions I, II. Nederl. Akad. Wetensch. Proc. Ser. A 67, Indag. Math. 26 (1964), 339–347, 348–359. DOI 10.1016/S1385-7258(64)50040-2 | MR 0174530

[11] Delange, H.: Théoremes taubériens et applications arithmétiques. Mém. Soc. Roy. Sci. Liege 16 (1955), 87 pp. MR 0076923

[12] Evtukhov, V. M., Samoilenko, A. M.: Asymptotic representations of solutions of nonautonomous ordinary differential equations with regularly varying nonlinearities. (Russian). Differ. Uravn. 47 (2011), 628–650; translation in Differ. Equ. 47 (2011), 627–649. MR 2918280 | Zbl 1242.34092

[13] Feller, W.: An introduction to probability theory and its applications, Vol. II. Second edition, John Wiley, New York–London–Sydney, 1971. MR 0270403

[14] Galambos, J., Seneta, E.: Regularly varying sequences. Proc. Amer. Math. Soc. 41 (1973), 110–116. DOI 10.1090/S0002-9939-1973-0323963-5 | MR 0323963 | Zbl 0247.26002

[15] Geluk, J. L.: On slowly varying solutions of the linear second order differential equation. Publ. Inst. Math. 48 (1990), 52–60. MR 1105139

[16] Geluk, J. L., de Haan, L.: Regular variation, extensions and Tauberian theorems. CWI Tract 40, Amsterdam, 1987. MR 0906871

[17] de Haan, L.: On regular variation and its application to the weak convergence of sample extremes. Mathematical Centre Tracts 32, Amsterdam, 1970. MR 0286156

[18] de Haan, L., Ferreira, A.: Extreme value theory. An introduction. Springer, New York, 2006. MR 2234156

[19] Hammond, C. N. B., Omey, E.: Regular variation and Raabe. Dostupné z arXiv:1808.01898v1 (2018).

[20] Hardy, G. H.: Orders of infinity. The Infinitärcalcül of Paul du Bois-Reymond. Reprint of the 1910 edition, Cambridge Tracts in Mathematics and Mathematical Physics, No. 12. Hafner Publishing Co., New York, 1971. MR 0349922

[21] Jaroš, J., Kusano, T., Tanigawa, T.: Nonoscillatory half-linear differential equations and generalized Karamata functions. Nonlinear Anal. 64 (2006), 762–787. DOI 10.1016/j.na.2005.05.045 | MR 2197094

[22] Jessen, A. H., Mikosch, T.: Regularly varying functions. Publ. Inst. Math. 80 (2006), 171–192. DOI 10.2298/PIM0694171J | MR 2281913

[23] Karamata, J.: Über die Hardy–Littlewoodschen Umkehrungen des Abelschen Stetigkeitssatzes. Math. Z. 32 (1930), 319–320. DOI 10.1007/BF01194636 | MR 1545168

[24] Karamata, J.: Sur un mode de croissance régulière des fonctions. Mathematica (Cluj) 4 (1930), 38–53.

[25] Karamata, J.: Sur un mode de croissance régulière, Théorèmes fondamentaux. Bull. Soc. Math. France 61 (1933), 55–62. DOI 10.24033/bsmf.1196 | MR 1504998

[26] Kohlbecker, E. E.: Weak asymptotic properties of partitions. Trans. Amer. Math. Soc. 88 (1958), 346–365. DOI 10.1090/S0002-9947-1958-0095808-9 | MR 0095808

[27] Korevaar, J.: Tauberian theory. A century of developments. Springer, Berlin, 2004. MR 2073637

[28] Korevaar, J., van Aardenne-Ehrenfest, T., de Bruijn, N. G.: A note on slowly oscillating functions. Nieuw Arch. Wiskd. 23 (1949), 77–86. MR 0027812

[29] Landau, E.: Sur les valeurs moyennes de certaines fonctions arithmétiques. Bull. Acad. R. Belgique (1911), 443–472.

[30] Marić, V.: Regular variation and differential equations. Lecture Notes in Mathematics 1726, Springer, 2000. MR 1753584

[31] Marić, V.: Jovan Karamata (1902–1967). Mat. Vesnik 54 (2002), 45–51. MR 1958493

[32] Marić, V., Tomić, M.: A classification of solutions of second order linear differential equations by means of regularly varying functions. Publ. Inst. Math. 48 (1990), 199–207. MR 1105154

[33] Matucci, S., Řehák, P.: Extremal solutions to a system of $n$ nonlinear differential equations and regularly varying functions. Math. Nachr. 288 (2015), 1413–1430. DOI 10.1002/mana.201400252 | MR 3377126

[34] Mijajlović, Ž., Pejović, N., Šegan, S., Damljanović, G.: On asymptotic solutions of Friedmann equations. Appl. Math. Comput. 219 (2012), 1273–1286. MR 2981320

[35] Nair, J., Wierman, A., Zwart, B.: The fundamentals of heavy tails: Properties, emergence, and estimation. Cambridge University Press, 2022. MR 4585805

[36] Newman, M. E. J.: Power laws, Pareto distributions and Zipf’s law. Contemp. Phys. 46 (2005), 323–351. DOI 10.1080/00107510500052444

[37] Niethammer, B., Pego, R. L.: Non-self-similar behavior in the LSW theory of Ostwald ripening. J. Stat. Phys. 95 (1999), 867–902. DOI 10.1023/A:1004546215920 | MR 1712441

[38] Nikolić, A.: Karamata functions and differential equations: achievements from the 20th century. Historia Math. 45 (2018), 277–299. DOI 10.1016/j.hm.2017.12.001 | MR 3832962

[39] Pólya, G.: Über eine neue Weise, bestimmte Integrale in der analytischen Zahlentheorie zu gebrauchen. Göttinger Nachr. (1917), 149–159.

[40] Rădulescu, V.: Singular phenomena in nonlinear elliptic problems: from blow-up boundary solutions to equations with singular nonlinearities. Handbook of differential equations: stationary partial differential equations, Vol. IV, 485–593, Elsevier, North-Holland, Amsterdam, 2007. MR 2569336

[41] Resnick, S. I.: Extreme values, regular variation and point processes. Springer, 2008. MR 2364939

[42] Řehák, P.: Nonlinear differential equations in the framework of regular variation. AMathNet, 2014. Dostupné z: http://users.math.cas.cz/~rehak/ndefrv

[43] Řehák, P.: Refined discrete regular variation and its applications. Math. Meth. Appl. Sci. 42 (2019), 1–12. DOI 10.1002/mma.5670 | MR 4037886

[44] Řehák, P.: Kummer test and regular variation. Monatsh. Math. 192 (2020), 419–426. DOI 10.1007/s00605-019-01361-y | MR 4098140

[45] Řehák, P., Vítovec, J.: Regular variation on measure chains. Nonlinear Anal. 72 (2010), 439–448. DOI 10.1016/j.na.2009.06.078 | MR 2574953

[46] Saari, D. G.: Collisions, rings, and other Newtonian $N$-body problems. CBMS American Mathematical Society, Providence, RI, 2005. MR 2139425

[47] Seneta, E.: Regularly varying functions. Lecture Notes in Mathematics 508, Springer, Berlin–Heidelberg–New York, 1976. MR 0453936 | Zbl 0324.26002

[48] Shaposhnikov, E., Kengo, S.: Asymptotic scale invariance and its consequences. Phys. Rev. D 99 (2019), 103528. DOI 10.1103/PhysRevD.99.103528 | MR 4007075

[49] Tomić, M.: Jovan Karamata (1902–1967). The 100th anniversary of the birthday of Academician Jovan Karamata. Bull. Cl. Sci. Math. Nat. Sci. Math. 26 (2001), 1–30. MR 1874617

[50] Tong, J. C.: Kummer’s test gives characterizations for convergence or divergence of all positive series. Amer. Math. Monthly 101 (1994), 450–452. DOI 10.1080/00029890.1994.11996971 | MR 1272945

[51] Zygmund, A.: Trigonometric series, Vol. I, II. Cambridge University Press, Cambridge, 2002. MR 1963498