Evtukhov, V. M.; Sharay, N. V. Asymptotic behavior of the solutions of third-order differential equations with rapidly varying nonlinearity. (English. Ukrainian original) Zbl 07626271 Ukr. Math. J. 74, No. 6, 916-935 (2022); translation from Ukr. Mat. Zh. 74, No. 6, 800-816 (2022). Reviewer: Olga Chepok (Odessa) MSC: 34D05 PDF BibTeX XML Cite \textit{V. M. Evtukhov} and \textit{N. V. Sharay}, Ukr. Math. J. 74, No. 6, 916--935 (2022; Zbl 07626271); translation from Ukr. Mat. Zh. 74, No. 6, 800--816 (2022) Full Text: DOI OpenURL
Evtukhov, V. M.; Chernikova, A. G. On the asymptotics of solutions of the second-order differential equations with rapidly varying nonlinearities. (English. Ukrainian original) Zbl 1490.34054 Ukr. Math. J. 73, No. 4, 572-591 (2021); translation from Ukr. Mat. Zh. 73, No. 4, 488-505 (2021). Reviewer: Olga Chepok (Odessa) MSC: 34D05 37C60 26A12 PDF BibTeX XML Cite \textit{V. M. Evtukhov} and \textit{A. G. Chernikova}, Ukr. Math. J. 73, No. 4, 572--591 (2021; Zbl 1490.34054); translation from Ukr. Mat. Zh. 73, No. 4, 488--505 (2021) Full Text: DOI OpenURL
Evtukhov, V. M.; Chernikova, A. G. On the asymptotics of solutions of second-order differential equations with rapidly varying nonlinearities. (English. Russian original) Zbl 1445.34081 Ukr. Math. J. 71, No. 1, 81-101 (2019); translation from Ukr. Mat. Zh. 71, No. 1, 73-91 (2019). Reviewer: Olga Chepok (Odessa) MSC: 34D05 26A12 PDF BibTeX XML Cite \textit{V. M. Evtukhov} and \textit{A. G. Chernikova}, Ukr. Math. J. 71, No. 1, 81--101 (2019; Zbl 1445.34081); translation from Ukr. Mat. Zh. 71, No. 1, 73--91 (2019) Full Text: DOI OpenURL
Buldygin, Valeriĭ V.; Indlekofer, Karl-Heinz; Klesov, Oleg I.; Steinebach, Josef G. Pseudo-regularly varying functions and generalized renewal processes. (English) Zbl 1422.60003 Probability Theory and Stochastic Modelling 91. Cham: Springer (ISBN 978-3-319-99536-6/hbk; 978-3-319-99537-3/ebook). xxii, 482 p. (2018). Reviewer: René L. Schilling (Dresden) MSC: 60-02 60K05 26A12 60F15 60H10 60E07 PDF BibTeX XML Cite \textit{V. V. Buldygin} et al., Pseudo-regularly varying functions and generalized renewal processes. Cham: Springer (2018; Zbl 1422.60003) Full Text: DOI OpenURL
Nikolić, Aleksandar Karamata functions and differential equations: achievements from the 20th century. (English) Zbl 1429.34003 Hist. Math. 45, No. 3, 277-299 (2018). Reviewer: Stefan Neuwirth (Besançon) MSC: 34-03 01A60 34E05 34C11 PDF BibTeX XML Cite \textit{A. Nikolić}, Hist. Math. 45, No. 3, 277--299 (2018; Zbl 1429.34003) Full Text: DOI OpenURL
Lindskog, Filip; Resnick, Sidney I.; Roy, Joyjit Regularly varying measures on metric spaces: hidden regular variation and hidden jumps. (English) Zbl 1317.60007 Probab. Surv. 11, 270-314 (2014). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60B05 28A33 60G17 60G51 60G70 PDF BibTeX XML Cite \textit{F. Lindskog} et al., Probab. Surv. 11, 270--314 (2014; Zbl 1317.60007) Full Text: DOI arXiv Euclid OpenURL
Jaroš, Jaroslav; Kusano, Takaŝi; Tanigawa, Tomoyuki Asymptotic analysis of positive solutions of third order nonlinear differential equations. (English) Zbl 1300.34124 Hiroshima Math. J. 44, No. 1, 1-34 (2014). Reviewer: Vojislav Marić (Novi Sad) MSC: 34D05 34C11 26A12 47N20 PDF BibTeX XML Cite \textit{J. Jaroš} et al., Hiroshima Math. J. 44, No. 1, 1--34 (2014; Zbl 1300.34124) Full Text: Euclid OpenURL
Kusano, Takaŝi; Manojlović, Jelena Precise asymptotic behavior of intermediate solutions of even order nonlinear differential equation in the framework of regular variation. (English) Zbl 1321.34073 Mosc. Math. J. 13, No. 4, 649-666 (2013). Reviewer: Vojislav Marić (Novi Sad) MSC: 34D05 34C11 26A12 PDF BibTeX XML Cite \textit{T. Kusano} and \textit{J. Manojlović}, Mosc. Math. J. 13, No. 4, 649--666 (2013; Zbl 1321.34073) Full Text: Link OpenURL
Buldygin, V. V.; Indlekofer, K.-H.; Klesov, O. I.; Steinebach, J. G. Pseudo-regularly varying functions and generalized renewal processes. (Псевдорегулярні функції та узагальнені процеси відновлення.) (Ukrainian) Zbl 1318.60004 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka. Kiev: TBiMC (ISBN 978-966-8725-06-9/hbk). 440 p. (2012). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60-02 60F99 60E15 60G42 60H10 60G50 60G55 PDF BibTeX XML Cite \textit{V. V. Buldygin} et al., Псевдорегулярні функції та узагальнені процеси відновлення (Ukrainian). Kiev: TBiMC (2012; Zbl 1318.60004) OpenURL
Kusano, Takaŝi; Manojlović, Jelena Positive solutions of fourth order Thomas-Fermi type differential equations in the framework of regular variation. (English) Zbl 1263.34042 Acta Appl. Math. 121, No. 1, 81-103 (2012). Reviewer: Vojislav Marić (Novi Sad) MSC: 34C11 26A12 PDF BibTeX XML Cite \textit{T. Kusano} and \textit{J. Manojlović}, Acta Appl. Math. 121, No. 1, 81--103 (2012; Zbl 1263.34042) Full Text: DOI OpenURL
Kusano, Takaši; Manojlović, Jelena V. Positive solutions of fourth order Emden-Fowler type differential equations in the framework of regular variation. (English) Zbl 1254.34050 Appl. Math. Comput. 218, No. 12, 6684-6701 (2012). Reviewer: Vojislav Marić (Novi Sad) MSC: 34C10 34D05 PDF BibTeX XML Cite \textit{T. Kusano} and \textit{J. V. Manojlović}, Appl. Math. Comput. 218, No. 12, 6684--6701 (2012; Zbl 1254.34050) Full Text: DOI OpenURL
Takaši, Kusano; Manojlović, Jelena V. Asymptotic analysis of Emden-Fowler differential equations in the framework of regular variation. (English) Zbl 1245.34039 Ann. Mat. Pura Appl. (4) 190, No. 4, 619-644 (2011). Reviewer: Vojislav Marić (Novi Sad) MSC: 34C11 26A12 34D05 47N20 PDF BibTeX XML Cite \textit{K. Takaši} and \textit{J. V. Manojlović}, Ann. Mat. Pura Appl. (4) 190, No. 4, 619--644 (2011; Zbl 1245.34039) Full Text: DOI OpenURL
Takaŝi, Kusano; Manojlović, Jelena Precise asymptotic behavior of solutions of the sublinear Emden-Fowler differential equation. (English) Zbl 1228.34074 Appl. Math. Comput. 217, No. 9, 4382-4396 (2011). Reviewer: Vojislav Marić (Novi Sad) MSC: 34D05 26A12 PDF BibTeX XML Cite \textit{K. Takaŝi} and \textit{J. Manojlović}, Appl. Math. Comput. 217, No. 9, 4382--4396 (2011; Zbl 1228.34074) Full Text: DOI OpenURL
Omey, Edward; Segers, Johan Generalised regular variation of arbitrary order. (English) Zbl 1243.26002 Misiewicz, Jolanta K. (ed.), Stability in probability. Selected papers based on the presentations at the 28th international seminar on stability problems for stochastic models, Zakopane, Poland, May 31 – June 5, 2009. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-09-6/pbk). Banach Center Publications 90, 111-137 (2010). Reviewer: Vojislav Marić (Novi Sad) MSC: 26A12 60G70 PDF BibTeX XML Cite \textit{E. Omey} and \textit{J. Segers}, Banach Cent. Publ. 90, 111--137 (2010; Zbl 1243.26002) Full Text: DOI arXiv OpenURL
Buldygin, V. V.; Pavlenkov, V. V. A generalization of Karamata’s theorem on the asymptotic behavior of integrals. (Ukrainian, English) Zbl 1224.26007 Teor. Jmovirn. Mat. Stat. 81, 13-24 (2009); translation in Theory Probab. Math. Stat. 81, 15-26 (2010). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 26A12 26A48 34C41 PDF BibTeX XML Cite \textit{V. V. Buldygin} and \textit{V. V. Pavlenkov}, Teor. Ĭmovirn. Mat. Stat. 81, 13--24 (2009; Zbl 1224.26007); translation in Theory Probab. Math. Stat. 81, 15--26 (2010) Full Text: DOI OpenURL
Bingham, N. H.; Ostaszewski, A. J. Infinite combinatorics and the foundations of regular variation. (English) Zbl 1188.26004 J. Math. Anal. Appl. 360, No. 2, 518-529 (2009). Reviewer: Petr Holický (Praha) MSC: 26A12 PDF BibTeX XML Cite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, J. Math. Anal. Appl. 360, No. 2, 518--529 (2009; Zbl 1188.26004) Full Text: DOI OpenURL
Řehák, Pavel; Vítovec, Jiří \(q\)-regular variation and \(q\)-difference equations. (English) Zbl 1171.39006 J. Phys. A, Math. Theor. 41, No. 49, Article ID 495203, 10 p. (2008). Reviewer: Vojislav Marić (Novi Sad) MSC: 39A13 05A30 39A12 26A12 PDF BibTeX XML Cite \textit{P. Řehák} and \textit{J. Vítovec}, J. Phys. A, Math. Theor. 41, No. 49, Article ID 495203, 10 p. (2008; Zbl 1171.39006) Full Text: DOI OpenURL
Evtukhov, V. M.; Kharkov, V. M. Asymptotic representations of solutions of essentially nonlinear second-order differential equations. (English. Russian original) Zbl 1161.34024 Differ. Equ. 43, No. 10, 1340-1352 (2007); translation from Differ. Uravn. 43, No. 10, 1311-1323 (2007). Reviewer: Vojislav Marić (Novi Sad) MSC: 34D05 47N20 PDF BibTeX XML Cite \textit{V. M. Evtukhov} and \textit{V. M. Kharkov}, Differ. Equ. 43, No. 10, 1340--1352 (2007; Zbl 1161.34024); translation from Differ. Uravn. 43, No. 10, 1311--1323 (2007) Full Text: DOI OpenURL
Djurčić, D.; Kočinac, Lj. D. R.; Žižović, M. R. Some properties of rapidly varying sequences. (English) Zbl 1116.26002 J. Math. Anal. Appl. 327, No. 2, 1297-1306 (2007). Reviewer: Vojislav Marić (Novi Sad) MSC: 26A12 PDF BibTeX XML Cite \textit{D. Djurčić} et al., J. Math. Anal. Appl. 327, No. 2, 1297--1306 (2007; Zbl 1116.26002) Full Text: DOI OpenURL
Simic, Slavko On a new class of rapidly varying functions. (English) Zbl 1099.26001 Mathematica 47(70), No. 2, 217-222 (2005). Reviewer: Vojislav Maric (Novi Sad) MSC: 26A12 PDF BibTeX XML Cite \textit{S. Simic}, Mathematica 47(70), No. 2, 217--222 (2005; Zbl 1099.26001) OpenURL
Freiman, Gregory A.; Granovsky, Boris L. Clustering in coagulation-fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formulae and limiting laws. (English) Zbl 1062.60097 Trans. Am. Math. Soc. 357, No. 6, 2483-2507 (2005). Reviewer: David B. Penman (Colchester) MSC: 60K35 05A15 05A16 05C80 40E05 PDF BibTeX XML Cite \textit{G. A. Freiman} and \textit{B. L. Granovsky}, Trans. Am. Math. Soc. 357, No. 6, 2483--2507 (2005; Zbl 1062.60097) Full Text: DOI arXiv OpenURL
Đurčić, Dragan; Žižović, Mališa Note on rapidly varying sequences. (English) Zbl 1105.26001 Math. Morav. 8, No. 2, 1-3 (2004). Reviewer: Vojislav Marić (Novi Sad) MSC: 26A12 PDF BibTeX XML Cite \textit{D. Đurčić} and \textit{M. Žižović}, Math. Morav. 8, No. 2, 1--3 (2004; Zbl 1105.26001) OpenURL
Bingham, Nicholas H.; Inoue, Akihiko Extension of the Drasin-Shea-Jordan theorem. (English) Zbl 0964.44002 J. Math. Soc. Japan 52, No. 3, 545-559 (2000). Reviewer: Ulrich Stadtmüller (Ulm) MSC: 44A15 40E05 PDF BibTeX XML Cite \textit{N. H. Bingham} and \textit{A. Inoue}, J. Math. Soc. Japan 52, No. 3, 545--559 (2000; Zbl 0964.44002) Full Text: DOI OpenURL
Tsybakov, Boris; Georganas, Nicolas D. Self-similar processes in communications networks. (English) Zbl 0988.90003 IEEE Trans. Inf. Theory 44, No. 5, 1713-1725 (1998). MSC: 90B18 94A05 90B20 PDF BibTeX XML Cite \textit{B. Tsybakov} and \textit{N. D. Georganas}, IEEE Trans. Inf. Theory 44, No. 5, 1713--1725 (1998; Zbl 0988.90003) Full Text: DOI OpenURL
Fehér, L.; Laczkovich, M.; Tardos, G. Croftian sequences. (English) Zbl 0737.26002 Acta Math. Hung. 56, No. 3-4, 353-359 (1990). Reviewer: U.Stadtmüller (Ulm) MSC: 26A12 PDF BibTeX XML Cite \textit{L. Fehér} et al., Acta Math. Hung. 56, No. 3--4, 353--359 (1990; Zbl 0737.26002) Full Text: DOI OpenURL
Bingham, N. H.; Goldie, C. M.; Teugels, J. L. Regular variation. Paperback ed. (English) Zbl 0667.26003 Encyclopedia of Mathematics and its Applications, 27. Cambridge etc.: Cambridge University Press. 512 p. £20.00/pbk (1989). MSC: 26A12 26A48 26-02 PDF BibTeX XML Cite \textit{N. H. Bingham} et al., Regular variation. Paperback ed. Cambridge etc.: Cambridge University Press (1989; Zbl 0667.26003) Backlinks: MO OpenURL
Geluk, J. L. On conjugate \(\Pi\)-variation and the coefficients of power series. (English) Zbl 0704.30037 Publ. Inst. Math., Nouv. Sér. 46(60), 91-96 (1989). Reviewer: U.Stadtmüller MSC: 30D15 40E05 PDF BibTeX XML Cite \textit{J. L. Geluk}, Publ. Inst. Math., Nouv. Sér. 46(60), 91--96 (1989; Zbl 0704.30037) Full Text: EuDML OpenURL
Geluk, J. L. On an application of regular variation in probability theory. (English) Zbl 0702.60015 Mathematical analysis and its applications, Proc. Int. Conf., Safat/Kuwait 1985, KFAS Proc. Ser. 3, 403-410 (1988). Reviewer: J.L.Teugels MSC: 60E05 26A12 30D15 PDF BibTeX XML OpenURL
Geluk, J. L.; de Haan, L. Regular variation, extensions and Tauberian theorems. (English) Zbl 0624.26003 CWI Tracts, 40. Centrum voor Wiskunde en Informatica. Amsterdam: Stichting Mathematisch Centrum. V, 132 p.; Dfl. 20.30 (1987). Reviewer: U.Stadtmüller MSC: 26A12 40E05 44A10 PDF BibTeX XML OpenURL