López-Gómez, Julián; Muñoz-Hernández, Eduardo; Zanolin, Fabio Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments. (English) Zbl 1522.92052 Open Math. 21, Article ID 20220593, 54 p. (2023). MSC: 92D25 35Q92 37E40 37D45 PDFBibTeX XMLCite \textit{J. López-Gómez} et al., Open Math. 21, Article ID 20220593, 54 p. (2023; Zbl 1522.92052) Full Text: DOI arXiv
Boscaggin, Alberto; Muñoz-Hernández, Eduardo Planar Hamiltonian systems: index theory and applications to the existence of subharmonics. (English) Zbl 1507.37071 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113142, 35 p. (2023). MSC: 37J12 37J51 37E45 PDFBibTeX XMLCite \textit{A. Boscaggin} and \textit{E. Muñoz-Hernández}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113142, 35 p. (2023; Zbl 1507.37071) Full Text: DOI arXiv
Fabry, Christian; Fonda, Alessandro A systematic approach to nonresonance conditions for periodically forced planar Hamiltonian systems. (English) Zbl 1501.34040 Ann. Mat. Pura Appl. (4) 201, No. 3, 1033-1074 (2022). Reviewer: Jinzhi Lei (Tianjin) MSC: 34C25 37C60 37J40 PDFBibTeX XMLCite \textit{C. Fabry} and \textit{A. Fonda}, Ann. Mat. Pura Appl. (4) 201, No. 3, 1033--1074 (2022; Zbl 1501.34040) Full Text: DOI
Wang, Shuang Periodic solutions of weakly coupled superlinear systems with indefinite terms. (English) Zbl 1498.34122 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 36, 22 p. (2022). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 PDFBibTeX XMLCite \textit{S. Wang}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 36, 22 p. (2022; Zbl 1498.34122) Full Text: DOI
Wu, Yinyin; Qian, Dingbian; Wang, Shuang Periodic bouncing solutions for sublinear impact oscillator. (English) Zbl 1484.34106 AIMS Math. 6, No. 7, 7170-7186 (2021). MSC: 34C25 34A37 37E40 PDFBibTeX XMLCite \textit{Y. Wu} et al., AIMS Math. 6, No. 7, 7170--7186 (2021; Zbl 1484.34106) Full Text: DOI
Zheng, Nannan; Wang, Zaihong Infinitely many periodic solutions of Duffing equations under integral condition. (English) Zbl 1489.34068 Topol. Methods Nonlinear Anal. 57, No. 1, 297-315 (2021). Reviewer: Eric R. Kaufmann (Little Rock) MSC: 34C25 34B30 37C60 47N20 PDFBibTeX XMLCite \textit{N. Zheng} and \textit{Z. Wang}, Topol. Methods Nonlinear Anal. 57, No. 1, 297--315 (2021; Zbl 1489.34068) Full Text: DOI
López-Gómez, Julián; Muñoz-Hernández, Eduardo; Zanolin, Fabio The Poincaré-Birkhoff theorem for a class of degenerate planar Hamiltonian systems. (English) Zbl 1479.37065 Adv. Nonlinear Stud. 21, No. 3, 489-499 (2021). MSC: 37J46 70K42 70H12 PDFBibTeX XMLCite \textit{J. López-Gómez} et al., Adv. Nonlinear Stud. 21, No. 3, 489--499 (2021; Zbl 1479.37065) Full Text: DOI
Kirillov, Alexander An extension of the Poincaré-Birkhoff fixed point theorem to noninvariant annuli. (English) Zbl 1471.54029 Fixed Point Theory 22, No. 1, 251-262 (2021). Reviewer: Zoran D. Mitrović (Banja Luka) MSC: 54H25 37E40 47H10 PDFBibTeX XMLCite \textit{A. Kirillov}, Fixed Point Theory 22, No. 1, 251--262 (2021; Zbl 1471.54029) Full Text: Link
Wang, Shuang; Qian, Dingbian Periodic solutions of \(p\)-Laplacian equations via rotation numbers. (English) Zbl 1471.34081 Commun. Pure Appl. Anal. 20, No. 5, 2117-2138 (2021). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 PDFBibTeX XMLCite \textit{S. Wang} and \textit{D. Qian}, Commun. Pure Appl. Anal. 20, No. 5, 2117--2138 (2021; Zbl 1471.34081) Full Text: DOI
Jiang, Fangfang Periodic solutions of discontinuous Duffing equations. (English) Zbl 1457.34067 Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 93, 16 p. (2020). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 34A36 37C60 PDFBibTeX XMLCite \textit{F. Jiang}, Qual. Theory Dyn. Syst. 19, No. 3, Paper No. 93, 16 p. (2020; Zbl 1457.34067) Full Text: DOI
Dondè, Tobia; Zanolin, Fabio Multiple periodic solutions for a Duffing type equation with one-sided sublinear nonlinearity: beyond the Poincaré-Birkhoff twist theorem. (English) Zbl 1456.34040 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. Selected papers based on the presentations at the fourth international conference, ICDDEA 2019, Lisbon, Portugal, July 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 333, 207-223 (2020). MSC: 34C25 34C15 37C60 34C28 37E40 47N20 37J46 PDFBibTeX XMLCite \textit{T. Dondè} and \textit{F. Zanolin}, Springer Proc. Math. Stat. 333, 207--223 (2020; Zbl 1456.34040) Full Text: DOI
Tomeček, Jan; Rachůnková, Irena; Burkotová, Jana; Stryja, Jakub Coexistence of bouncing and classical periodic solutions of generalized Lazer-Solimini equation. (English) Zbl 1441.34052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111783, 24 p. (2020). Reviewer: Guglielmo Feltrin (Spilimbergo) MSC: 34C25 34B18 37C60 37E40 PDFBibTeX XMLCite \textit{J. Tomeček} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111783, 24 p. (2020; Zbl 1441.34052) Full Text: DOI
López-Gómez, Julián; Muñoz-Hernández, Eduardo; Zanolin, Fabio On the applicability of the Poincaré-Birkhoff twist theorem to a class of planar periodic predator-prey models. (English) Zbl 1441.34060 Discrete Contin. Dyn. Syst. 40, No. 4, 2393-2419 (2020). Reviewer: Changjin Xu (Guiyang) MSC: 34C60 34C25 37E40 92D25 37C60 PDFBibTeX XMLCite \textit{J. López-Gómez} et al., Discrete Contin. Dyn. Syst. 40, No. 4, 2393--2419 (2020; Zbl 1441.34060) Full Text: DOI
López-Gómez, Julián; Muñoz-Hernández, Eduardo Global structure of subharmonics in a class of periodic predator-prey models. (English) Zbl 1431.34066 Nonlinearity 33, No. 1, 34-71 (2020). Reviewer: Zhanyuan Hou (London) MSC: 34C60 34C25 34C23 92D25 37C60 PDFBibTeX XMLCite \textit{J. López-Gómez} and \textit{E. Muñoz-Hernández}, Nonlinearity 33, No. 1, 34--71 (2020; Zbl 1431.34066) Full Text: DOI arXiv
Lakshmi, Burra S.; Zanolin, Fabio Periodically perturbed superlinear Duffing type equations with singularities: subharmonic solutions and complex dynamics. (English) Zbl 1436.34037 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 26, No. 5, 349-364 (2019). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 37C60 34C28 PDFBibTeX XMLCite \textit{B. S. Lakshmi} and \textit{F. Zanolin}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 26, No. 5, 349--364 (2019; Zbl 1436.34037) Full Text: Link Link
Fonda, Alessandro; Toader, Rodica Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth. (English) Zbl 1419.37059 Adv. Nonlinear Anal. 8, 583-602 (2019). MSC: 37J40 34C25 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{R. Toader}, Adv. Nonlinear Anal. 8, 583--602 (2019; Zbl 1419.37059) Full Text: DOI Link
Garrione, Maurizio; Margheri, Alessandro; Rebelo, Carlota Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers. (English) Zbl 1414.34027 J. Math. Anal. Appl. 473, No. 1, 490-509 (2019). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 34C25 37E45 37C60 PDFBibTeX XMLCite \textit{M. Garrione} et al., J. Math. Anal. Appl. 473, No. 1, 490--509 (2019; Zbl 1414.34027) Full Text: DOI
Qian, Dingbian; Torres, Pedro J.; Wang, Peiyu Periodic solutions of second order equations via rotation numbers. (English) Zbl 1410.34125 J. Differ. Equations 266, No. 8, 4746-4768 (2019). Reviewer: Guglielmo Feltrin (Spilimbergo) MSC: 34C25 37E45 PDFBibTeX XMLCite \textit{D. Qian} et al., J. Differ. Equations 266, No. 8, 4746--4768 (2019; Zbl 1410.34125) Full Text: DOI
Gidoni, Paolo; Margheri, Alessandro Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems. (English) Zbl 1421.37027 Discrete Contin. Dyn. Syst. 39, No. 1, 585-605 (2019). Reviewer: Chun-Lei Tang (Chongqing) MSC: 37J45 34C25 70H12 PDFBibTeX XMLCite \textit{P. Gidoni} and \textit{A. Margheri}, Discrete Contin. Dyn. Syst. 39, No. 1, 585--605 (2019; Zbl 1421.37027) Full Text: DOI arXiv
Wang, Zaihong; Ma, Tiantian Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré-Birkhoff theorem. (English) Zbl 1499.34251 Bound. Value Probl. 2018, Paper No. 102, 19 p. (2018). MSC: 34C25 34C15 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{T. Ma}, Bound. Value Probl. 2018, Paper No. 102, 19 p. (2018; Zbl 1499.34251) Full Text: DOI
Boscaggin, Alberto; Feltrin, Guglielmo Positive subharmonic solutions to nonlinear ODEs with indefinite weight. (English) Zbl 1381.34056 Commun. Contemp. Math. 20, No. 1, Article ID 1750021, 26 p. (2018). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 34B18 47H11 PDFBibTeX XMLCite \textit{A. Boscaggin} and \textit{G. Feltrin}, Commun. Contemp. Math. 20, No. 1, Article ID 1750021, 26 p. (2018; Zbl 1381.34056) Full Text: DOI arXiv
Liang, Zaitao Positive periodic and subharmonic solutions of second-order singular differential equations with impulsive effects. (English) Zbl 1383.34063 Math. Commun. 22, No. 2, 193-209 (2017). MSC: 34C25 34A37 PDFBibTeX XMLCite \textit{Z. Liang}, Math. Commun. 22, No. 2, 193--209 (2017; Zbl 1383.34063) Full Text: Link
Liang, Zaitao Periodic and subharmonic solutions with winding number for \(p\)-Laplacian equations by the Poincaré-Birkhoff theorem. (English) Zbl 1379.34037 J. Fixed Point Theory Appl. 19, No. 2, 1283-1294 (2017). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 37C25 PDFBibTeX XMLCite \textit{Z. Liang}, J. Fixed Point Theory Appl. 19, No. 2, 1283--1294 (2017; Zbl 1379.34037) Full Text: DOI
Wang, Zaihong; Ma, Tiantian Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities. (English) Zbl 1360.34079 Bound. Value Probl. 2017, Paper No. 46, 16 p. (2017). MSC: 34C11 34C15 34C25 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{T. Ma}, Bound. Value Probl. 2017, Paper No. 46, 16 p. (2017; Zbl 1360.34079) Full Text: DOI
Fonda, Alessandro; Ureña, Antonio J. A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows. (English) Zbl 1442.37076 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 3, 679-698 (2017). Reviewer: Xiang Zhang (Shanghai) MSC: 37J46 37J11 37C25 70H12 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{A. J. Ureña}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 3, 679--698 (2017; Zbl 1442.37076) Full Text: DOI
Wu, Yinyin; Qian, Dingbian Infinity of subharmonics for Duffing equations with convex and oscillatory nonlinearities. (English) Zbl 1357.34079 Bound. Value Probl. 2016, Paper No. 223, 13 p. (2016). MSC: 34C25 37E40 34C15 37C60 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{D. Qian}, Bound. Value Probl. 2016, Paper No. 223, 13 p. (2016; Zbl 1357.34079) Full Text: DOI
Boscaggin, Alberto; Torres, Pedro J. Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain. (English) Zbl 1284.70033 Physica D 261, 81-84 (2013). MSC: 70H12 PDFBibTeX XMLCite \textit{A. Boscaggin} and \textit{P. J. Torres}, Physica D 261, 81--84 (2013; Zbl 1284.70033) Full Text: DOI Link
Boscaggin, Alberto; Zanolin, Fabio Pairs of nodal solutions for a class of nonlinear problems with one-sided growth conditions. (English) Zbl 1286.34031 Adv. Nonlinear Stud. 13, No. 1, 13-53 (2013). Reviewer: Christopher Goodrich (Omaha) MSC: 34B09 34B08 34B15 PDFBibTeX XMLCite \textit{A. Boscaggin} and \textit{F. Zanolin}, Adv. Nonlinear Stud. 13, No. 1, 13--53 (2013; Zbl 1286.34031) Full Text: DOI Link
Fonda, Alessandro; Toader, Rodica Periodic solutions of pendulum-like Hamiltonian systems in the plane. (English) Zbl 1264.34078 Adv. Nonlinear Stud. 12, No. 2, 395-408 (2012). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C25 34C05 37J45 34C15 PDFBibTeX XMLCite \textit{A. Fonda} and \textit{R. Toader}, Adv. Nonlinear Stud. 12, No. 2, 395--408 (2012; Zbl 1264.34078) Full Text: DOI
Boscaggin, Alberto; Fonda, Alessandro; Garrione, Maurizio A multiplicity result for periodic solutions of second-order differential equations with a singularity. (English) Zbl 1278.34038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 12, 4457-4470 (2012). MSC: 34C25 34B16 47N20 PDFBibTeX XMLCite \textit{A. Boscaggin} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 12, 4457--4470 (2012; Zbl 1278.34038) Full Text: DOI Link
Pascoletti, Anna; Zanolin, Fabio A topological approach to bend-twist maps with applications. (English) Zbl 1246.37066 Int. J. Differ. Equ. 2011, Article ID 612041, 20 p. (2011). Reviewer: Florin Bojor (Baia Mare) MSC: 37E40 54H25 47H10 37E45 39A23 PDFBibTeX XMLCite \textit{A. Pascoletti} and \textit{F. Zanolin}, Int. J. Differ. Equ. 2011, Article ID 612041, 20 p. (2011; Zbl 1246.37066) Full Text: DOI
Boscaggin, Alberto; Garrione, Maurizio Resonance and rotation numbers for planar Hamiltonian systems: multiplicity results via the Poincaré-Birkhoff theorem. (English) Zbl 1220.37036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4166-4185 (2011). Reviewer: Alessandro Fonda (Trieste) MSC: 37E45 34C25 37J10 PDFBibTeX XMLCite \textit{A. Boscaggin} and \textit{M. Garrione}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4166--4185 (2011; Zbl 1220.37036) Full Text: DOI
Campos, J.; Margheri, A.; Martins, R.; Rebelo, C. A note on a modified version of the Poincaré-Birkhoff theorem. (English) Zbl 1052.37033 J. Differ. Equations 203, No. 1, 55-63 (2004). Reviewer: Marco Spadini (Firenze) MSC: 37E40 37C25 PDFBibTeX XMLCite \textit{J. Campos} et al., J. Differ. Equations 203, No. 1, 55--63 (2004; Zbl 1052.37033) Full Text: DOI
Zanini, Chiara Rotation numbers, eigenvalues, and the Poincaré–Birkhoff theorem. (English) Zbl 1028.34038 J. Math. Anal. Appl. 279, No. 1, 290-307 (2003). Reviewer: Alessandro Fonda (Trieste) MSC: 34C25 34C10 PDFBibTeX XMLCite \textit{C. Zanini}, J. Math. Anal. Appl. 279, No. 1, 290--307 (2003; Zbl 1028.34038) Full Text: DOI
Margheri, A.; Rebelo, C.; Zanolin, F. Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems. (English) Zbl 1119.37323 J. Differ. Equations 183, No. 2, 342-367 (2002). MSC: 37J45 34C25 70H12 PDFBibTeX XMLCite \textit{A. Margheri} et al., J. Differ. Equations 183, No. 2, 342--367 (2002; Zbl 1119.37323) Full Text: DOI