Chen, Mingming; Geng, Xianguo; Wang, Kedong; Xue, Bo Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system. (English) Zbl 1501.35367 Commun. Pure Appl. Anal. 21, No. 9, 3171-3191 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDFBibTeX XMLCite \textit{M. Chen} et al., Commun. Pure Appl. Anal. 21, No. 9, 3171--3191 (2022; Zbl 1501.35367) Full Text: DOI
Chang, Yuan; Bai, Yuzhen Limit cycle bifurcations by perturbing piecewise Hamiltonian systems with a nonregular switching line via multiple parameters. (English) Zbl 1508.34042 Commun. Pure Appl. Anal. 21, No. 9, 3071-3088 (2022). Reviewer: Zhouchao Wei (Wuhan) MSC: 34C23 34C05 34A36 37J40 34E10 PDFBibTeX XMLCite \textit{Y. Chang} and \textit{Y. Bai}, Commun. Pure Appl. Anal. 21, No. 9, 3071--3088 (2022; Zbl 1508.34042) Full Text: DOI
Arnold, Anton; Geevers, Sjoerd; Perugia, Ilaria; Ponomarev, Dmitry On the exponential time-decay for the one-dimensional wave equation with variable coefficients. (English) Zbl 1498.35063 Commun. Pure Appl. Anal. 21, No. 10, 3389-3405 (2022). MSC: 35B40 35L15 PDFBibTeX XMLCite \textit{A. Arnold} et al., Commun. Pure Appl. Anal. 21, No. 10, 3389--3405 (2022; Zbl 1498.35063) Full Text: DOI arXiv
Zhang, Xiaolei; Xiong, Yanqin; Zhang, Yi The number of limit cycles by perturbing a piecewise linear system with three zones. (English) Zbl 1501.34021 Commun. Pure Appl. Anal. 21, No. 5, 1833-1855 (2022). Reviewer: Zhengdong Du (Chengdu) MSC: 34A36 34C05 34C07 34E10 34C23 37J40 34A30 PDFBibTeX XMLCite \textit{X. Zhang} et al., Commun. Pure Appl. Anal. 21, No. 5, 1833--1855 (2022; Zbl 1501.34021) Full Text: DOI
Ke, Ai; Han, Maoan; Geng, Wei The number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines. (English) Zbl 07524326 Commun. Pure Appl. Anal. 21, No. 5, 1793-1809 (2022). MSC: 34A36 34C05 34C07 34C23 34E10 PDFBibTeX XMLCite \textit{A. Ke} et al., Commun. Pure Appl. Anal. 21, No. 5, 1793--1809 (2022; Zbl 07524326) Full Text: DOI
Tang, Sufang; Dou, Jingbo Quantitative analysis of a system of integral equations with weight on the upper half space. (English) Zbl 1486.45004 Commun. Pure Appl. Anal. 21, No. 1, 121-140 (2022). Reviewer: Alexander N. Tynda (Penza) MSC: 45E10 45G05 45G15 45M05 45M20 PDFBibTeX XMLCite \textit{S. Tang} and \textit{J. Dou}, Commun. Pure Appl. Anal. 21, No. 1, 121--140 (2022; Zbl 1486.45004) Full Text: DOI
Li, Tao; Llibre, Jaume Limit cycles of piecewise polynomial differential systems with the discontinuity line \(xy = 0\). (English) Zbl 1490.34038 Commun. Pure Appl. Anal. 20, No. 11, 3887-3909 (2021). Reviewer: Armengol Gasull (Barcelona) MSC: 34C07 34E10 34A36 34C05 34C23 34C14 34C29 37J40 PDFBibTeX XMLCite \textit{T. Li} and \textit{J. Llibre}, Commun. Pure Appl. Anal. 20, No. 11, 3887--3909 (2021; Zbl 1490.34038) Full Text: DOI
Naumkin, Pavel I.; Sánchez-Suárez, Isahi Asymptotics for the higher-order derivative nonlinear Schrödinger equation. (English) Zbl 1476.35245 Commun. Pure Appl. Anal. 20, No. 4, 1447-1478 (2021). Reviewer: Xiaoming He (Beijing) MSC: 35Q55 35B40 35Q35 35A01 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. Sánchez-Suárez}, Commun. Pure Appl. Anal. 20, No. 4, 1447--1478 (2021; Zbl 1476.35245) Full Text: DOI
Jiao, Jinjing; Shi, Guanghua Quasi-periodic solutions for the two-dimensional systems with an elliptic-type degenerate equilibrium point under small perturbations. (English) Zbl 1464.34064 Commun. Pure Appl. Anal. 19, No. 11, 5157-5180 (2020). MSC: 34C27 34C46 34E10 37C60 34C05 34D10 PDFBibTeX XMLCite \textit{J. Jiao} and \textit{G. Shi}, Commun. Pure Appl. Anal. 19, No. 11, 5157--5180 (2020; Zbl 1464.34064) Full Text: DOI
Cai, Ziyi; He, Haiyang Asymptotic behavior of solutions for nonlinear integral equations with Hénon type on the unit ball. (English) Zbl 1474.45083 Commun. Pure Appl. Anal. 19, No. 9, 4349-4362 (2020). MSC: 45M05 45J05 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{H. He}, Commun. Pure Appl. Anal. 19, No. 9, 4349--4362 (2020; Zbl 1474.45083) Full Text: DOI
Si, Wen; Wang, Fenfen; Si, Jianguo Almost-periodic perturbations of non-hyperbolic equilibrium points via Pöschel-Rüssmann KAM method. (English) Zbl 1435.34045 Commun. Pure Appl. Anal. 19, No. 1, 541-585 (2020). Reviewer: Gonzalo Robledo (Santiago de Chile) MSC: 34C27 37J40 34E10 PDFBibTeX XMLCite \textit{W. Si} et al., Commun. Pure Appl. Anal. 19, No. 1, 541--585 (2020; Zbl 1435.34045) Full Text: DOI
Gao, Peng Averaging principles for the Swift-Hohenberg equation. (English) Zbl 1426.35137 Commun. Pure Appl. Anal. 19, No. 1, 293-310 (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 35K55 35B40 58J37 35K35 PDFBibTeX XMLCite \textit{P. Gao}, Commun. Pure Appl. Anal. 19, No. 1, 293--310 (2020; Zbl 1426.35137) Full Text: DOI
Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Suárez, Isahi Asymptotics for the modified Whitham equation. (English) Zbl 1397.35210 Commun. Pure Appl. Anal. 17, No. 4, 1407-1448 (2018). MSC: 35Q35 35Q55 35B40 35Q53 76B55 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Commun. Pure Appl. Anal. 17, No. 4, 1407--1448 (2018; Zbl 1397.35210) Full Text: DOI
Brändle, Cristina; De Pablo, Arturo Nonlocal heat equations: regularizing effect, decay estimates and Nash inequalities. (English) Zbl 1395.45018 Commun. Pure Appl. Anal. 17, No. 3, 1161-1178 (2018). MSC: 45K05 45P05 45M05 35S10 PDFBibTeX XMLCite \textit{C. Brändle} and \textit{A. De Pablo}, Commun. Pure Appl. Anal. 17, No. 3, 1161--1178 (2018; Zbl 1395.45018) Full Text: DOI
Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations. (English) Zbl 1372.35284 Commun. Pure Appl. Anal. 16, No. 6, 2089-2104 (2017). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Hayashi} et al., Commun. Pure Appl. Anal. 16, No. 6, 2089--2104 (2017; Zbl 1372.35284) Full Text: DOI
Li, Kun; Huang, Jianhua; Li, Xiong Asymptotic behavior and uniqueness of traveling wave fronts in a delayed nonlocal dispersal competitive system. (English) Zbl 1354.45005 Commun. Pure Appl. Anal. 16, No. 1, 131-150 (2017). MSC: 45K05 45M05 45G15 92D25 PDFBibTeX XMLCite \textit{K. Li} et al., Commun. Pure Appl. Anal. 16, No. 1, 131--150 (2017; Zbl 1354.45005) Full Text: DOI
Xu, Jiankai; Jiang, Song; Wu, Huoxiong Some properties of positive solutions for an integral system with the double weighted Riesz potentials. (English) Zbl 1352.45014 Commun. Pure Appl. Anal. 15, No. 6, 2117-2134 (2016). MSC: 45M20 45M05 45G15 PDFBibTeX XMLCite \textit{J. Xu} et al., Commun. Pure Appl. Anal. 15, No. 6, 2117--2134 (2016; Zbl 1352.45014) Full Text: DOI
Strichartz, Robert S. Average error for spectral asymptotics on surfaces. (English) Zbl 1330.47012 Commun. Pure Appl. Anal. 15, No. 1, 9-39 (2016). MSC: 47A10 58C40 58J50 PDFBibTeX XMLCite \textit{R. S. Strichartz}, Commun. Pure Appl. Anal. 15, No. 1, 9--39 (2016; Zbl 1330.47012) Full Text: arXiv
Jayakar, Sujay; Strichartz, Robert S. Average number of lattice points in a disk. (English) Zbl 1333.52020 Commun. Pure Appl. Anal. 15, No. 1, 1-8 (2016). MSC: 52C05 33C10 PDFBibTeX XMLCite \textit{S. Jayakar} and \textit{R. S. Strichartz}, Commun. Pure Appl. Anal. 15, No. 1, 1--8 (2016; Zbl 1333.52020) Full Text: arXiv
Obrecht, Caroline; Saut, Jean-Claude Remarks on the full dispersion Davey-Stewartson systems. (English) Zbl 1318.35085 Commun. Pure Appl. Anal. 14, No. 4, 1547-1561 (2015). MSC: 35Q35 76B15 76B45 PDFBibTeX XMLCite \textit{C. Obrecht} and \textit{J.-C. Saut}, Commun. Pure Appl. Anal. 14, No. 4, 1547--1561 (2015; Zbl 1318.35085) Full Text: DOI
Dauge, Monique; Ourmières-Bonafos, Thomas; Raymond, Nicolas Spectral asymptotics of the Dirichlet Laplacian in a conical layer. (English) Zbl 1422.35015 Commun. Pure Appl. Anal. 14, No. 3, 1239-1258 (2015). MSC: 35J05 35P15 PDFBibTeX XMLCite \textit{M. Dauge} et al., Commun. Pure Appl. Anal. 14, No. 3, 1239--1258 (2015; Zbl 1422.35015) Full Text: DOI arXiv
Thizy, Pierre-Damien Klein-Gordon-Maxwell equations in high dimensions. (English) Zbl 1325.35240 Commun. Pure Appl. Anal. 14, No. 3, 1097-1125 (2015). Reviewer: Rainer Picard (Dresden) MSC: 35R01 58J05 58J37 81Q35 35B45 PDFBibTeX XMLCite \textit{P.-D. Thizy}, Commun. Pure Appl. Anal. 14, No. 3, 1097--1125 (2015; Zbl 1325.35240) Full Text: DOI arXiv
Buică, Adriana; Giné, Jaume; Grau, Maite Essential perturbations of polynomial vector fields with a period annulus. (English) Zbl 1318.34054 Commun. Pure Appl. Anal. 14, No. 3, 1073-1095 (2015). MSC: 34C23 37G15 34C05 34C25 34C07 34E10 PDFBibTeX XMLCite \textit{A. Buică} et al., Commun. Pure Appl. Anal. 14, No. 3, 1073--1095 (2015; Zbl 1318.34054) Full Text: DOI arXiv
Brunner, Hermann; Ou, Chunhua On the asymptotic stability of Volterra functional equations with vanishing delays. (English) Zbl 1312.45012 Commun. Pure Appl. Anal. 14, No. 2, 397-406 (2015). MSC: 45M10 45M05 45A05 45D05 PDFBibTeX XMLCite \textit{H. Brunner} and \textit{C. Ou}, Commun. Pure Appl. Anal. 14, No. 2, 397--406 (2015; Zbl 1312.45012) Full Text: DOI
Chen, Huan-Zhen; Lü, Zhongxue Positive solutions to involving Wolff potentials. (English) Zbl 1277.45002 Commun. Pure Appl. Anal. 13, No. 2, 773-788 (2014). MSC: 45E10 45G05 45M05 45M20 PDFBibTeX XMLCite \textit{H.-Z. Chen} and \textit{Z. Lü}, Commun. Pure Appl. Anal. 13, No. 2, 773--788 (2014; Zbl 1277.45002) Full Text: DOI
Nieto, Sofía; Reyes, Guillermo Asymptotic behavior of the solutions of the inhomogeneous porous medium equation with critical vanishing density. (English) Zbl 1267.35037 Commun. Pure Appl. Anal. 12, No. 2, 1123-1139 (2013). MSC: 35B40 35K15 35K65 35K59 35C06 PDFBibTeX XMLCite \textit{S. Nieto} and \textit{G. Reyes}, Commun. Pure Appl. Anal. 12, No. 2, 1123--1139 (2013; Zbl 1267.35037) Full Text: DOI
Lei, Yutian; Ma, Chao Asymptotic behavior for solutions of some integral equations. (English) Zbl 1237.45007 Commun. Pure Appl. Anal. 10, No. 1, 193-207 (2011). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 45G15 45G05 45M05 PDFBibTeX XMLCite \textit{Y. Lei} and \textit{C. Ma}, Commun. Pure Appl. Anal. 10, No. 1, 193--207 (2011; Zbl 1237.45007) Full Text: DOI
Amar, Micol; Andreucci, Daniele; Bisegna, Paolo; Gianni, Roberto Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range. (English) Zbl 1206.35026 Commun. Pure Appl. Anal. 9, No. 5, 1131-1160 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 78A70 45K05 35Q92 PDFBibTeX XMLCite \textit{M. Amar} et al., Commun. Pure Appl. Anal. 9, No. 5, 1131--1160 (2010; Zbl 1206.35026) Full Text: DOI
García-Melián, J.; Rossi, Julio D. A logistic equation with refuge and nonlocal diffusion. (English) Zbl 1180.45002 Commun. Pure Appl. Anal. 8, No. 6, 2037-2053 (2009). Reviewer: Ulrich Kosel (Freiberg) MSC: 45G05 45C05 45M20 45M05 PDFBibTeX XMLCite \textit{J. García-Melián} and \textit{J. D. Rossi}, Commun. Pure Appl. Anal. 8, No. 6, 2037--2053 (2009; Zbl 1180.45002) Full Text: DOI
Reyes, Guillermo; Vázquez, Juan-Luis Long time behavior for the inhomogeneous PME in a medium with slowly decaying density. (English) Zbl 1169.35313 Commun. Pure Appl. Anal. 8, No. 2, 493-508 (2009). MSC: 35B40 35K15 35K65 35K55 PDFBibTeX XMLCite \textit{G. Reyes} and \textit{J.-L. Vázquez}, Commun. Pure Appl. Anal. 8, No. 2, 493--508 (2009; Zbl 1169.35313) Full Text: DOI
Makarenkov, Oleg; Nistri, Paolo On the rate of convergence of periodic solutions in perturbed autonomous systems as the perturbation vanishes. (English) Zbl 1360.34094 Commun. Pure Appl. Anal. 7, No. 1, 49-61 (2008). MSC: 34C25 34E10 34D10 34C23 PDFBibTeX XMLCite \textit{O. Makarenkov} and \textit{P. Nistri}, Commun. Pure Appl. Anal. 7, No. 1, 49--61 (2008; Zbl 1360.34094) Full Text: DOI arXiv
Caubergh, Magdalena; Dumortier, Freddy; Roussarie, Robert Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle. (English) Zbl 1138.34020 Commun. Pure Appl. Anal. 6, No. 1, 1-21 (2007). Reviewer: Eugene Ershov (St. Petersburg) MSC: 34C07 34C08 34C37 34E10 34C23 34E05 PDFBibTeX XMLCite \textit{M. Caubergh} et al., Commun. Pure Appl. Anal. 6, No. 1, 1--21 (2007; Zbl 1138.34020) Full Text: DOI
Li, Congming; Lim, Jisun The singularity analysis of solutions to some integral equations. (English) Zbl 1137.45002 Commun. Pure Appl. Anal. 6, No. 2, 453-464 (2007). Reviewer: Cornelis van der Mee (Cagliari) MSC: 45G15 45G05 45M20 45M05 PDFBibTeX XMLCite \textit{C. Li} and \textit{J. Lim}, Commun. Pure Appl. Anal. 6, No. 2, 453--464 (2007; Zbl 1137.45002) Full Text: DOI
Bonetti, Elena; Rocca, Elisabetta Global existence and long-time behaviour for a singular integro-differential phase-field system. (English) Zbl 1140.45010 Commun. Pure Appl. Anal. 6, No. 2, 367-387 (2007). Reviewer: Iulian Stoleriu (Iasi) MSC: 45K05 80A22 45G15 45M05 82C26 PDFBibTeX XMLCite \textit{E. Bonetti} and \textit{E. Rocca}, Commun. Pure Appl. Anal. 6, No. 2, 367--387 (2007; Zbl 1140.45010) Full Text: DOI
Lai, Shaoyong; Wu, Yong Hong; Yang, Xu The global solution of an initial boundary value problem for the damped Boussinesq equation. (English) Zbl 1069.35055 Commun. Pure Appl. Anal. 3, No. 2, 319-328 (2004). MSC: 35Q35 76B15 35B40 PDFBibTeX XMLCite \textit{S. Lai} et al., Commun. Pure Appl. Anal. 3, No. 2, 319--328 (2004; Zbl 1069.35055) Full Text: DOI