Liu, Chang Jian; Wang, Shao Qing On the center problem for generalized Abel equations. (English) Zbl 07785727 Acta Math. Sin., Engl. Ser. 39, No. 12, 2329-2337 (2023). MSC: 34A34 34C20 34C25 PDFBibTeX XMLCite \textit{C. J. Liu} and \textit{S. Q. Wang}, Acta Math. Sin., Engl. Ser. 39, No. 12, 2329--2337 (2023; Zbl 07785727) Full Text: DOI
Mahdi, Adam; Pessoa, Claudio; Ribeiro, Jarne D. Rigid centres on the center manifold of tridimensional differential systems. (English) Zbl 1505.34048 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 1058-1080 (2022). Reviewer: Valery A. Gaiko (Minsk) MSC: 34C05 34C25 34C45 34A05 70E40 PDFBibTeX XMLCite \textit{A. Mahdi} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 1058--1080 (2022; Zbl 1505.34048) Full Text: DOI
Zhou, Zhengxin Research on the weak center problem of a class of \(\varLambda - \varOmega\) differential systems. (English) Zbl 1520.34028 Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1863-1875 (2022). Reviewer: Hongwei Shi (Zhuhai) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Zhou}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1863--1875 (2022; Zbl 1520.34028) Full Text: DOI
Álvarez, A.; Bravo, J. L.; Christopher, C.; Mardešić, P. Infinitesimal center problem on zero cycles and the composition conjecture. (English. Russian original) Zbl 1500.34023 Funct. Anal. Appl. 55, No. 4, 257-271 (2021); translation from Funkts. Anal. Prilozh. 55, No. 4, 3-21 (2021). Reviewer: Xiuli Cen (Zhuhai) MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{A. Álvarez} et al., Funct. Anal. Appl. 55, No. 4, 257--271 (2021; Zbl 1500.34023); translation from Funkts. Anal. Prilozh. 55, No. 4, 3--21 (2021) Full Text: DOI arXiv
Yan, Yuexin; Zhou, Zhengxin Research on the composition center of a class of rigid differential systems. (English) Zbl 1473.34026 J. Appl. Anal. Comput. 10, No. 6, 2506-2520 (2020). MSC: 34C07 34C05 34C25 37G15 PDFBibTeX XMLCite \textit{Y. Yan} and \textit{Z. Zhou}, J. Appl. Anal. Comput. 10, No. 6, 2506--2520 (2020; Zbl 1473.34026) Full Text: DOI
Zhou, Zhengxin; Yan, Yuexin On the composition center for a class of rigid system. (English) Zbl 1437.34037 Bull. Braz. Math. Soc. (N.S.) 51, No. 1, 139-155 (2020). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Zhou} and \textit{Y. Yan}, Bull. Braz. Math. Soc. (N.S.) 51, No. 1, 139--155 (2020; Zbl 1437.34037) Full Text: DOI
Alves, Alexandre M.; Lemos, Abílio; de Araujo, Anderson L. A. A partial positive answer to a Lijun-Yun conjecture. (English) Zbl 1478.34032 Boll. Unione Mat. Ital. 13, No. 1, 49-59 (2020). Reviewer: Armengol Gasull (Barcelona) MSC: 34C05 34A34 44A60 37C60 PDFBibTeX XMLCite \textit{A. M. Alves} et al., Boll. Unione Mat. Ital. 13, No. 1, 49--59 (2020; Zbl 1478.34032) Full Text: DOI
Zhou, Zhengxin On the center-focus problem for a family of high-order polynomial differential systems. (English) Zbl 1511.34043 J. Dyn. Differ. Equations 32, No. 1, 393-418 (2020). MSC: 34C05 34C25 PDFBibTeX XMLCite \textit{Z. Zhou}, J. Dyn. Differ. Equations 32, No. 1, 393--418 (2020; Zbl 1511.34043) Full Text: DOI
Giné, Jaume; Grau, Maite; Santallusia, Xavier A counterexample to the composition condition conjecture for polynomial Abel differential equations. (English) Zbl 1439.34035 Ergodic Theory Dyn. Syst. 39, No. 12, 3347-3352 (2019). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34A34 34A05 34C25 PDFBibTeX XMLCite \textit{J. Giné} et al., Ergodic Theory Dyn. Syst. 39, No. 12, 3347--3352 (2019; Zbl 1439.34035) Full Text: DOI arXiv Link
Álvarez, M. J.; Bravo, J. L.; Fernández, M.; Prohens, R. Centers and limit cycles for a family of Abel equations. (English) Zbl 1369.34059 J. Math. Anal. Appl. 453, No. 1, 485-501 (2017). Reviewer: Marco Spadini (Firenze) MSC: 34C25 34C05 34A34 37C60 PDFBibTeX XMLCite \textit{M. J. Álvarez} et al., J. Math. Anal. Appl. 453, No. 1, 485--501 (2017; Zbl 1369.34059) Full Text: DOI
Brudnyi, Alexander Universal curves in the center problem for Abel differential equations. (English) Zbl 1361.34039 Ergodic Theory Dyn. Syst. 36, No. 5, 1379-1395 (2016). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C25 34C05 34A34 PDFBibTeX XMLCite \textit{A. Brudnyi}, Ergodic Theory Dyn. Syst. 36, No. 5, 1379--1395 (2016; Zbl 1361.34039) Full Text: DOI arXiv
Brudnyi, Alexander Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations. (English) Zbl 1362.34046 Bull. Sci. Math. 140, No. 7, 830-863 (2016). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C05 34C07 16T05 34C25 PDFBibTeX XMLCite \textit{A. Brudnyi}, Bull. Sci. Math. 140, No. 7, 830--863 (2016; Zbl 1362.34046) Full Text: DOI arXiv
Giné, Jaume; Grau, Maite; Santallusia, Xavier The center problem and composition condition for Abel differential equations. (English) Zbl 1351.34030 Expo. Math. 34, No. 2, 210-222 (2016). Reviewer: A. P. Sadovskii (Minsk) MSC: 34C05 34C25 34C07 PDFBibTeX XMLCite \textit{J. Giné} et al., Expo. Math. 34, No. 2, 210--222 (2016; Zbl 1351.34030) Full Text: DOI
Briskin, M.; Pakovich, F.; Yomdin, Y. Algebraic geometry of the center-focus problem for Abel differential equations. (English) Zbl 1362.37055 Ergodic Theory Dyn. Syst. 36, No. 3, 714-744 (2016). Reviewer: Marco Spadini (Firenze) MSC: 37C25 37C10 34C05 34A26 34C07 PDFBibTeX XMLCite \textit{M. Briskin} et al., Ergodic Theory Dyn. Syst. 36, No. 3, 714--744 (2016; Zbl 1362.37055) Full Text: DOI arXiv
Briskin, M.; Pakovich, F.; Yomdin, Y. Parametric center-focus problem for Abel equation. (English) Zbl 1318.34046 Qual. Theory Dyn. Syst. 13, No. 2, 289-303 (2014). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34C25 34C08 PDFBibTeX XMLCite \textit{M. Briskin} et al., Qual. Theory Dyn. Syst. 13, No. 2, 289--303 (2014; Zbl 1318.34046) Full Text: DOI arXiv
Pakovich, F. Weak and strong composition conditions for the Abel differential equation. (English) Zbl 1315.34040 Bull. Sci. Math. 138, No. 8, 993-998 (2014). Reviewer: Gheorghe Tigan (Timisoara) MSC: 34C05 34C07 PDFBibTeX XMLCite \textit{F. Pakovich}, Bull. Sci. Math. 138, No. 8, 993--998 (2014; Zbl 1315.34040) Full Text: DOI arXiv
Giat, Sh.; Shelah, Y.; Shikhelman, C.; Yomdin, Y. Algebraic geometry of Abel differential equation. (English) Zbl 1308.34037 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 193-210 (2014). Reviewer: Jaume Giné (Lleida) MSC: 34C05 34A34 34C07 14H70 PDFBibTeX XMLCite \textit{Sh. Giat} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 193--210 (2014; Zbl 1308.34037) Full Text: DOI
Cima, Anna; Gasull, Armengol; Mañosas, Francesc An explicit bound of the number of vanishing double moments forcing composition. (English) Zbl 1290.34015 J. Differ. Equations 255, No. 3, 339-350 (2013). Reviewer: M. A. M. Alwash (Culver City) MSC: 34A34 34C05 34C07 PDFBibTeX XMLCite \textit{A. Cima} et al., J. Differ. Equations 255, No. 3, 339--350 (2013; Zbl 1290.34015) Full Text: DOI