Edit Profile (opens in new tab) Xu, Junxiang Compute Distance To: Compute Author ID: xu.junxiang Published as: Xu, Junxiang; Xu, Jun Xiang; Xu, Jun-Xiang more...less Documents Indexed: 161 Publications since 1990 Co-Authors: 38 Co-Authors with 131 Joint Publications 1,086 Co-Co-Authors all top 5 Co-Authors 13 single-authored 47 Zhang, Fubao 27 Wang, Jun 24 Zhang, Dongfeng 18 Zhang, Hui 11 You, Jiangong 10 Shi, Yanling 10 Wang, Xiaocai 8 Xu, XinDong 7 Ding, Jian 7 Lu, Xuezhu 6 Cao, Xiaofei 6 Tian, Lixin 4 Zhu, Min 3 Cheng, Rong 3 Guo, Jingni 3 Jiang, Shunjun 3 Kong, Yuedong 3 Qiu, Qingjiu 2 He, Zhenggang 2 Liao, Wei 2 Liu, Xila 2 Ma, Zhichao 1 Bi, Qiaoyan 1 Chen, Xumei 1 Cheng, Chunrui 1 Du, Miao 1 Geng, Jiansheng 1 Kun, Wang 1 Liang, Jianli 1 Liu, Weihua 1 Lu, Dianchen 1 Ma, Hui 1 Min, Zhu 1 Norrlöf, Mikael 1 Wang, Kun 1 Wang, Shaoping 1 Yang, Renzi 1 Yang, Xiaomei 1 Zheng, Qin all top 5 Serials 11 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Discrete and Continuous Dynamical Systems 7 Mathematical Methods in the Applied Sciences 5 Journal of Mathematical Physics 5 Journal of Differential Equations 5 Ergodic Theory and Dynamical Systems 5 Acta Applicandae Mathematicae 5 NoDEA. Nonlinear Differential Equations and Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 Proceedings of the American Mathematical Society 4 Journal of Dynamics and Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 4 Electronic Journal of Qualitative Theory of Differential Equations 4 Qualitative Theory of Dynamical Systems 3 Applicable Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Science in China. Series A 3 Abstract and Applied Analysis 3 Advanced Nonlinear Studies 3 Scientia Sinica. Mathematica 2 International Journal of Systems Science 2 Journal of Sound and Vibration 2 Nonlinearity 2 Mathematische Zeitschrift 2 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Regular and Chaotic Dynamics 2 Acta Mathematica Sinica. English Series 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Automatica 1 Mathematische Nachrichten 1 Mathematika 1 Journal of Nanjing University. Natural Sciences 1 Chinese Annals of Mathematics. Series A 1 Journal of Nanjing University. Mathematical Biquarterly 1 Journal of Southeast University. English Edition 1 International Journal of Adaptive Control and Signal Processing 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Applied Mathematics 1 Differential Equations and Dynamical Systems 1 Journal of Applied Mechanics and Technical Physics 1 Far East Journal of Applied Mathematics 1 RAIRO. Operations Research 1 Annales Henri Poincaré 1 Dynamical Systems 1 Central European Journal of Mathematics 1 Analysis in Theory and Applications 1 1 Journal of Industrial and Management Optimization 1 Journal of Shanghai Jiaotong University (Science) 1 Journal of Zhejiang University. Science A 1 Frontiers of Mathematics in China 1 Acta Mathematica Sinica. Chinese Series 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 83 Dynamical systems and ergodic theory (37-XX) 58 Partial differential equations (35-XX) 41 Ordinary differential equations (34-XX) 30 Mechanics of particles and systems (70-XX) 13 Global analysis, analysis on manifolds (58-XX) 9 Operator theory (47-XX) 5 Systems theory; control (93-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Real functions (26-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 1,067 times in 636 Documents Cited by ▼ Year ▼ Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth. Zbl 1402.35119Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 208 2012 Invariant tori for nearly integrable Hamiltonian systems with degeneracy. Zbl 0899.34030Xu, Junxiang; You, Jiangong; Qiu, Qingjiu 79 1997 Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35074Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 49 2013 Persistence of lower-dimensional tori under the first Melnikov’s non-resonance condition. Zbl 1031.37053Xu, Junxiang; You, Jiangong 36 2001 Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems. Zbl 1204.37067Wang, Jun; Zhang, Fubao; Xu, Junxiang 26 2010 Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033Wang, Jun; Xu, Junxiang; Zhang, Fubao 22 2011 Normal form of reversible systems and persistence of lower dimensional tori under weaker nonresonance conditions. Zbl 1075.37020Xu, Junxiang 22 2004 On the persistence of degenerate lower-dimensional tori in reversible systems. Zbl 1351.37231Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 21 2015 Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation. Zbl 1218.34050Xu, Junxiang; Jiang, Shunjun 18 2011 On the reducibility of a class of linear differential equations with quasiperiodic coefficients. Zbl 1043.34036Xu, Junxiang 18 1999 Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1112.37045Xu, Junxiang; You, Jiangong 16 2007 Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Zbl 1202.37080Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 16 2010 On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076Xu, Junxiang 16 2011 Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann’s non-degeneracy condition. Zbl 1175.37065Wang, Xiaocai; Xu, Junxiang 15 2009 On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate. Zbl 0897.34011Xu, Junxiang; Zheng, Qin 15 1998 Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 15 2012 On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121Zhu, Min; Xu, Junxiang 15 2012 A KAM theorem of degenerate infinite dimensional Hamiltonian systems. II. Zbl 0855.58030Xu, Junxiang; Qiu, Qingjiu; You, Jiangong 14 1996 Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079Xu, Junxiang; You, Jiangong 14 2010 On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1112.37046Zhang, Dongfeng; Xu, Junxiang 13 2006 A KAM theorem of degenerate infinite dimensional Hamiltonian systems. I. Zbl 0855.58029Xu, Junxiang; Qiu, Qingjiu; You, Jiangong 12 1996 On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point. Zbl 1151.34030Wang, Xiaocai; Xu, Junxiang 12 2008 Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei 12 2013 Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth. Zbl 1329.35144Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 12 2015 Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1102.37040Zhang, Dongfeng; Xu, Junxiang 11 2006 Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225Zhang, Hui; Xu, Junxiang; Zhang, Fubao 11 2015 Existence and multiplicity of solutions for a generalized Choquard equation. Zbl 1375.35134Zhang, Hui; Xu, Junxiang; Zhang, Fubao 11 2017 On quasi-periodic solutions for a generalized Boussinesq equation. Zbl 1339.37078Shi, Yanling; Xu, Junxiang; Xu, Xindong 11 2014 On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045Xu, Junxiang 10 2013 Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang 10 2011 Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems. Zbl 1183.35115Wang, Jun; Xu, Junxiang; Zhang, Fubao 9 2010 Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022Zhang, Hui; Xu, Junxiang; Zhang, Fubao 9 2013 On the reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070Xu, Junxiang; Lu, Xuezhu 9 2015 Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\). Zbl 1187.35055Wang, Jun; Xu, Junxiang; Zhang, Fubao 8 2010 On invariant tori of vector field under weaker non-degeneracy condition. Zbl 1358.37101Zhang, Dongfeng; Xu, Junxiang 8 2015 On a class of semilinear Schrödinger equations with indefinite linear part. Zbl 1312.35105Zhang, Hui; Xu, Junxiang; Zhang, Fubao 8 2014 On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039Xu, Junxiang; Kun, Wang; Min, Zhu 7 2016 A note on the extension of the Dinaburg-Sinai theorem to higher dimension. Zbl 1087.34023Liang, Jianli; Xu, Junxiang 7 2005 Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition. Zbl 1203.37103Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2010 General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070Xu, Junxiang; Lu, Xuezhu 7 2016 On reducibility of linear differential equations with almost-periodic coefficients. Zbl 0922.34040Xu, Junxiang; You, Jiangong 7 1996 Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part. Zbl 1317.35024Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 2015 Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009Zhang, Dongfeng; Xu, Junxiang 7 2014 On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Zbl 1333.37091Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 7 2016 Persistence of elliptic lower dimensional invariant tori for small perturbation of degenerate integrable Hamiltonian systems. Zbl 0889.58045Xu, Junxiang 6 1997 Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141Wang, Jun; Xu, Junxiang; Zhang, Fubao 6 2012 Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138Shi, Yanling; Xu, Junxiang; Xu, Xindong 6 2017 On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034Zhang, Dongfeng; Xu, Junxiang; Wu, Hao 5 2016 On the Cauchy problem for the two-component \(b\)-family system. Zbl 1277.35136Zhu, Min; Xu, Junxiang 5 2013 Persistence of invariant torus in Hamiltonian systems with two-degree of freedom. Zbl 1134.37025Zhang, Li; Xu, Junxiang 5 2008 Double crises in two-parameter forced oscillators by generalized cell mapping digraph method. Zbl 1098.70538Hong, L.; Xu, J. X. 5 2003 Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055Wang, Jun; Zhang, Hui; Xu, Junxiang; Zhang, Fubao 5 2012 Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao 5 2014 Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044Bi, Qiaoyan; Xu, Junxiang 5 2014 Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Zbl 1430.34052Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong 5 2018 Homoclinic orbits for an unbounded superquadratic Hamiltonian systems. (Homoclinic orbits for an unbounded superquadratic.) Zbl 1202.58015Wang, Jun; Xu, Junxiang; Zhang, Fubao; Wang, Lei 4 2010 Periodic solutions for a class of non-autonomous differential delay equations. Zbl 1186.34091Cheng, Rong; Xu, Junxiang 4 2009 Erratum to: Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35073Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 4 2013 On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter. Zbl 1222.37049Li, Jia; Xu, Junxiang 4 2011 On reference governor in iterative learning control for dynamic systems with input saturation. Zbl 1228.93066Tan, Y.; Xu, J. X.; Norrlöf, M.; Freeman, C. 4 2011 Corrigendum for the paper “Invariant tori for nearly integrable Hamiltonian systems with degeneracy”. Zbl 1129.34314Xu, Junxiang; You, Jiangong 4 2007 On the quasi-periodic solutions for generalized Boussinesq equation with higher order nonlinearity. Zbl 1331.35176Shi, Yanling; Xu, Junxiang; Xu, Xindong; Jiang, Shunjun 4 2015 Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. Zbl 1433.35065Zhang, Hui; Xu, Junxiang; Zhang, Fubao 4 2020 Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026Wang, Jun; Xu, Junxiang; Zhang, Fubao 4 2012 Existence and nonexistence of the ground state solutions for nonlinear Schrödinger equations with nonperiodic nonlinearities. Zbl 1256.35143Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 4 2012 On the effective reducibility of a class of quasi-periodic Hamiltonian systems. Zbl 1332.34077Li, Jia; Xu, Junxiang 4 2015 A KAM theorem for a class of nearly integrable symplectic mappings. Zbl 1370.37117Lu, Xuezhu; Li, Jia; Xu, Junxiang 4 2017 Bound and ground states for a concave-convex generalized Choquard equation. Zbl 06737056Zhang, Hui; Xu, Junxiang; Zhang, Fubao 4 2017 An iterative method of point mapping under cell reference for the global analysis of non-linear dynamical systems. Zbl 1232.70041Jiang, J.; Xu, J.-X 4 1996 On small perturbations of a nonlinear periodic system with degenerate equilibrium. Zbl 1315.37038Lu, Xuezhu; Xu, Junxiang 4 2014 Persistence of Floquet invariant tori for a class of non-conservative dynamical systems. Zbl 1189.37066Xu, Junxiang 3 2007 Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s nondegeneracy condition. Zbl 1121.37046Zhang, Dongfeng; Xu, Junxiang 3 2007 Infinitely many solutions for diffusion equations without symmetry. Zbl 1231.35095Wang, Jun; Xu, Junxiang; Zhang, Fubao 3 2011 Distributed adaptive iterative learning control for nonlinear multiagent systems with state constraints. Zbl 1383.93004Shen, D.; Xu, J.-X. 3 2017 A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. Zbl 1338.37075Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 3 2016 Persistence of lower dimensional hyperbolic tori for reversible system. Zbl 1334.37068Kong, Yuedong; Xu, Junxiang 3 2014 Existence and concentration of positive ground state solutions for Schrödinger-Poisson systems. Zbl 1295.35219Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 3 2013 Existence of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363Zhang, Hui; Xu, Junxiang; Zhang, Fubao 3 2013 Multiple positive solutions for Kirchhoff type problems involving concave and convex nonlinearities in \(\mathbb R^3\). Zbl 1353.35005Cao, Xiaofei; Xu, Junxiang; Wang, Jun 2 2016 A symplectic map and its application to the persistence of lower dimensional invariant tori. Zbl 1099.37045Xu, Junxiang; You, Jiangong 2 2002 Analysis of structural response under blast loads using the coupled SPH-FEM approach. Zbl 1152.74052Xu, Junxiang; Liu, Xila 2 2008 Even homoclinic orbits for super quadratic Hamiltonian systems. Zbl 1201.37096Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2010 On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann’s non-degeneracy condition. Zbl 1114.37033Wang, Shaoping; Zhang, Dongfeng; Xu, Junxiang 2 2007 Solutions of super linear Dirac equations with general potentials. Zbl 1242.47055Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2009 The existence of solutions for superquadratic Hamiltonian elliptic systems on \(\mathbb R^N\). Zbl 1204.35084Wang, Jun; Xu, Junxiang; Zhang, Fubao 2 2011 Boundedness of solutions for a class of second-order differential equations. Zbl 1139.34033Cheng, Chunrui; Xu, Junxiang 2 2008 KAM tori for defocusing modified KDV equation. Zbl 1375.37164Shi, Yanling; Xu, Junxiang 2 2015 A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Zbl 1392.37048Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 2 2018 Recovering strange attractors from noisy interspike intervals of neuronal firings. Zbl 0934.92005Gong, Y. F.; Ren, W.; Shi, X. Z.; Xu, J. X.; Hu, S. J. 2 1999 Existence and multiplicity of semiclassical solutions for a Schrödinger equation. Zbl 1173.35695Wang, Jun; Xu, Junxiang; Zhang, Fubao 2 2009 Quasi-periodic solutions for Schrödinger equation with derivative nonlinearity \((|u|^{2p}u)_x\). Zbl 1314.37055Shi, Yanling; Lu, Xuezhu; Xu, Junxiang; Xu, Xindong 2 2015 Existence of positive and sign-changing solutions to a coupled elliptic system with mixed nonlinearity growth. Zbl 1448.35210Wang, Jun; Xu, Junxiang 2 2020 On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues. Zbl 1475.70016Zhang, Dongfeng; Xu, Junxiang; Wu, Hao; Xu, Xindong 2 2020 A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. Zbl 1364.37131Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 2 2017 Invariant tori with prescribed frequency for nearly integrable Hamiltonian systems. Zbl 1345.70027Lu, Xuezhu; Xu, Junxiang 2 2014 Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048Zhang, Dongfeng; Xu, Junxiang 2 2021 On the existence of periodic solutions for a class of non-autonomous differential delay equations. Zbl 1209.34084Cheng, Rong; Xu, Junxiang; Zhang, Dongfeng 1 2010 A model-based adaptive sliding controller. Zbl 0854.93025Lee, T. H.; Xu, J. X.; Wang, M. 1 1996 Lagrangian stability of a class of second-order periodic systems. Zbl 1222.34047Jiang, Shunjun; Xu, Junxiang; Zhang, Fubao 1 2011 Homoclinic orbits of nonperiodic super quadratic Hamiltonian system. Zbl 1192.37088Ding, Jian; Xu, Junxiang; Zhang, Fubao 1 2010 Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies. Zbl 1469.37048Zhang, Dongfeng; Xu, Junxiang 2 2021 Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. Zbl 1433.35065Zhang, Hui; Xu, Junxiang; Zhang, Fubao 4 2020 Existence of positive and sign-changing solutions to a coupled elliptic system with mixed nonlinearity growth. Zbl 1448.35210Wang, Jun; Xu, Junxiang 2 2020 On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues. Zbl 1475.70016Zhang, Dongfeng; Xu, Junxiang; Wu, Hao; Xu, Xindong 2 2020 Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067Xu, Junxiang; You, Jiangong 1 2020 Quasi-periodic solutions for a class of higher dimensional beam equation with quasi-periodic forcing. Zbl 1411.37062Shi, Yanling; Xu, Junxiang; Xu, Xindong 1 2019 Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Zbl 1430.34052Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong 5 2018 A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Zbl 1392.37048Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 2 2018 Normalized solutions for a coupled Schrödinger system with saturable nonlinearities. Zbl 1382.35262Cao, Xiaofei; Xu, Junxiang; Wang, Jun; Zhang, Fubao 1 2018 Existence and multiplicity of solutions for a generalized Choquard equation. Zbl 1375.35134Zhang, Hui; Xu, Junxiang; Zhang, Fubao 11 2017 Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138Shi, Yanling; Xu, Junxiang; Xu, Xindong 6 2017 A KAM theorem for a class of nearly integrable symplectic mappings. Zbl 1370.37117Lu, Xuezhu; Li, Jia; Xu, Junxiang 4 2017 Bound and ground states for a concave-convex generalized Choquard equation. Zbl 06737056Zhang, Hui; Xu, Junxiang; Zhang, Fubao 4 2017 Distributed adaptive iterative learning control for nonlinear multiagent systems with state constraints. Zbl 1383.93004Shen, D.; Xu, J.-X. 3 2017 A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. Zbl 1364.37131Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 2 2017 Semiclassical ground states for a class of nonlinear Kirchhoff-type problems. Zbl 1379.35127Zhang, Hui; Xu, Junxiang; Zhang, Fubao 1 2017 The existence of solutions with prescribed \(L^{2}\)-norm for Kirchhoff type system. Zbl 1371.35056Cao, Xiaofei; Xu, Junxiang; Wang, Jun 1 2017 On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039Xu, Junxiang; Kun, Wang; Min, Zhu 7 2016 General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070Xu, Junxiang; Lu, Xuezhu 7 2016 On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Zbl 1333.37091Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 7 2016 On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034Zhang, Dongfeng; Xu, Junxiang; Wu, Hao 5 2016 A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. Zbl 1338.37075Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 3 2016 Multiple positive solutions for Kirchhoff type problems involving concave and convex nonlinearities in \(\mathbb R^3\). Zbl 1353.35005Cao, Xiaofei; Xu, Junxiang; Wang, Jun 2 2016 Existence and nonexistence of ground states for a class of quasilinear Schrödinger equations. Zbl 1357.35109Zhang, Hui; Zhang, Fubao; Xu, Junxiang 1 2016 On the persistence of degenerate lower-dimensional tori in reversible systems. Zbl 1351.37231Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 21 2015 Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth. Zbl 1329.35144Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 12 2015 Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225Zhang, Hui; Xu, Junxiang; Zhang, Fubao 11 2015 On the reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070Xu, Junxiang; Lu, Xuezhu 9 2015 On invariant tori of vector field under weaker non-degeneracy condition. Zbl 1358.37101Zhang, Dongfeng; Xu, Junxiang 8 2015 Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part. Zbl 1317.35024Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 2015 On the quasi-periodic solutions for generalized Boussinesq equation with higher order nonlinearity. Zbl 1331.35176Shi, Yanling; Xu, Junxiang; Xu, Xindong; Jiang, Shunjun 4 2015 On the effective reducibility of a class of quasi-periodic Hamiltonian systems. Zbl 1332.34077Li, Jia; Xu, Junxiang 4 2015 KAM tori for defocusing modified KDV equation. Zbl 1375.37164Shi, Yanling; Xu, Junxiang 2 2015 Quasi-periodic solutions for Schrödinger equation with derivative nonlinearity \((|u|^{2p}u)_x\). Zbl 1314.37055Shi, Yanling; Lu, Xuezhu; Xu, Junxiang; Xu, Xindong 2 2015 Multiple positive solutions for semilinear Schrödinger equations with critical growth in \(\mathbb{R}^{N}\). Zbl 1318.35111Wang, Jun; Lu, Dianchen; Xu, Junxiang; Zhang, Fubao 1 2015 On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. Zbl 1308.76041Shi, Yanling; Xu, Junxiang; Xu, Xindong 1 2015 On quasi-periodic solutions for a generalized Boussinesq equation. Zbl 1339.37078Shi, Yanling; Xu, Junxiang; Xu, Xindong 11 2014 On a class of semilinear Schrödinger equations with indefinite linear part. Zbl 1312.35105Zhang, Hui; Xu, Junxiang; Zhang, Fubao 8 2014 Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009Zhang, Dongfeng; Xu, Junxiang 7 2014 Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao 5 2014 Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044Bi, Qiaoyan; Xu, Junxiang 5 2014 On small perturbations of a nonlinear periodic system with degenerate equilibrium. Zbl 1315.37038Lu, Xuezhu; Xu, Junxiang 4 2014 Persistence of lower dimensional hyperbolic tori for reversible system. Zbl 1334.37068Kong, Yuedong; Xu, Junxiang 3 2014 Invariant tori with prescribed frequency for nearly integrable Hamiltonian systems. Zbl 1345.70027Lu, Xuezhu; Xu, Junxiang 2 2014 Ground states for Schrödinger-Poisson systems with three growth terms. Zbl 1315.35088Zhang, Hui; Zhang, Fubao; Xu, Junxiang 1 2014 Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35074Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 49 2013 Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei 12 2013 On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045Xu, Junxiang 10 2013 Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022Zhang, Hui; Xu, Junxiang; Zhang, Fubao 9 2013 On the Cauchy problem for the two-component \(b\)-family system. Zbl 1277.35136Zhu, Min; Xu, Junxiang 5 2013 Erratum to: Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\). Zbl 1278.35073Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 4 2013 Existence and concentration of positive ground state solutions for Schrödinger-Poisson systems. Zbl 1295.35219Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 3 2013 Existence of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363Zhang, Hui; Xu, Junxiang; Zhang, Fubao 3 2013 Positive ground states of coupled nonlinear Schrödinger equations on \(\mathbb{R}^n\). Zbl 07449112Zhang, Hui; Xu, Junxiang; Zhang, Fubao 1 2013 Wave-breaking phenomena and global solutions for periodic two-component Dullin-Gottwald-Holm systems. Zbl 1288.35125Zhu, Min; Xu, Junxiang 1 2013 Ground state solutions for asymptotically periodic Schrödinger equations with critical growth. Zbl 1291.35040Zhang, Hui; Xu, Junxiang; Zhang, Fubao 1 2013 Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth. Zbl 1402.35119Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 208 2012 Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 15 2012 On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121Zhu, Min; Xu, Junxiang 15 2012 Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141Wang, Jun; Xu, Junxiang; Zhang, Fubao 6 2012 Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055Wang, Jun; Zhang, Hui; Xu, Junxiang; Zhang, Fubao 5 2012 Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026Wang, Jun; Xu, Junxiang; Zhang, Fubao 4 2012 Existence and nonexistence of the ground state solutions for nonlinear Schrödinger equations with nonperiodic nonlinearities. Zbl 1256.35143Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 4 2012 Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033Wang, Jun; Xu, Junxiang; Zhang, Fubao 22 2011 Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation. Zbl 1218.34050Xu, Junxiang; Jiang, Shunjun 18 2011 On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076Xu, Junxiang 16 2011 Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang 10 2011 On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter. Zbl 1222.37049Li, Jia; Xu, Junxiang 4 2011 On reference governor in iterative learning control for dynamic systems with input saturation. Zbl 1228.93066Tan, Y.; Xu, J. X.; Norrlöf, M.; Freeman, C. 4 2011 Infinitely many solutions for diffusion equations without symmetry. Zbl 1231.35095Wang, Jun; Xu, Junxiang; Zhang, Fubao 3 2011 The existence of solutions for superquadratic Hamiltonian elliptic systems on \(\mathbb R^N\). Zbl 1204.35084Wang, Jun; Xu, Junxiang; Zhang, Fubao 2 2011 Lagrangian stability of a class of second-order periodic systems. Zbl 1222.34047Jiang, Shunjun; Xu, Junxiang; Zhang, Fubao 1 2011 Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems. Zbl 1204.37067Wang, Jun; Zhang, Fubao; Xu, Junxiang 26 2010 Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Zbl 1202.37080Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 16 2010 Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079Xu, Junxiang; You, Jiangong 14 2010 Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems. Zbl 1183.35115Wang, Jun; Xu, Junxiang; Zhang, Fubao 9 2010 Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\). Zbl 1187.35055Wang, Jun; Xu, Junxiang; Zhang, Fubao 8 2010 Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition. Zbl 1203.37103Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2010 Homoclinic orbits for an unbounded superquadratic Hamiltonian systems. (Homoclinic orbits for an unbounded superquadratic.) Zbl 1202.58015Wang, Jun; Xu, Junxiang; Zhang, Fubao; Wang, Lei 4 2010 Even homoclinic orbits for super quadratic Hamiltonian systems. Zbl 1201.37096Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2010 On the existence of periodic solutions for a class of non-autonomous differential delay equations. Zbl 1209.34084Cheng, Rong; Xu, Junxiang; Zhang, Dongfeng 1 2010 Homoclinic orbits of nonperiodic super quadratic Hamiltonian system. Zbl 1192.37088Ding, Jian; Xu, Junxiang; Zhang, Fubao 1 2010 Solutions of non-periodic super-quadratic Dirac equations. Zbl 1186.35171Ding, Jian; Xu, Junxiang; Zhang, Fubao 1 2010 Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann’s non-degeneracy condition. Zbl 1175.37065Wang, Xiaocai; Xu, Junxiang 15 2009 Periodic solutions for a class of non-autonomous differential delay equations. Zbl 1186.34091Cheng, Rong; Xu, Junxiang 4 2009 Solutions of super linear Dirac equations with general potentials. Zbl 1242.47055Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2009 Existence and multiplicity of semiclassical solutions for a Schrödinger equation. Zbl 1173.35695Wang, Jun; Xu, Junxiang; Zhang, Fubao 2 2009 On invariant curves of analytic reversible mappings with degeneracy. Zbl 1180.37084Zhang, Dongfeng; Xu, Junxiang 1 2009 Existence of homoclinic orbits for Hamiltonian systems with superquadratic potentials. Zbl 1187.37086Ding, Jian; Xu, Junxiang; Zhang, Fubao 1 2009 On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point. Zbl 1151.34030Wang, Xiaocai; Xu, Junxiang 12 2008 Persistence of invariant torus in Hamiltonian systems with two-degree of freedom. Zbl 1134.37025Zhang, Li; Xu, Junxiang 5 2008 Analysis of structural response under blast loads using the coupled SPH-FEM approach. Zbl 1152.74052Xu, Junxiang; Liu, Xila 2 2008 Boundedness of solutions for a class of second-order differential equations. Zbl 1139.34033Cheng, Chunrui; Xu, Junxiang 2 2008 Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1112.37045Xu, Junxiang; You, Jiangong 16 2007 Corrigendum for the paper “Invariant tori for nearly integrable Hamiltonian systems with degeneracy”. Zbl 1129.34314Xu, Junxiang; You, Jiangong 4 2007 Persistence of Floquet invariant tori for a class of non-conservative dynamical systems. Zbl 1189.37066Xu, Junxiang 3 2007 Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s nondegeneracy condition. Zbl 1121.37046Zhang, Dongfeng; Xu, Junxiang 3 2007 On the persistence of elliptic lower-dimensional tori in Hamiltonian systems under the first Melnikov condition and Rüssmann’s non-degeneracy condition. Zbl 1114.37033Wang, Shaoping; Zhang, Dongfeng; Xu, Junxiang 2 2007 Invariant curves of smooth quasi-periodic reversible mappings. Zbl 1142.37342Zhang, Dongfeng; Xu, Junxiang 1 2007 On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1112.37046Zhang, Dongfeng; Xu, Junxiang 13 2006 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 565 Authors 70 Xu, Junxiang 31 Tang, Xianhua 28 Zhang, Fubao 25 Zhang, Dongfeng 24 Wang, Jun 16 Li, Yong 13 Geng, Jiansheng 13 Shi, Yanling 13 Zhang, Hui 13 Zhang, Wen 12 Ma, Shiwang 12 Xu, XinDong 11 Liu, Zhisu 11 Si, Jianguo 11 Xie, Qilin 11 You, Jiangong 10 Wang, Xiaocai 10 Zhang, Jian 10 Zhang, Ziheng 9 Ambrosio, Vincenzo 9 Chen, Guanwei 9 Chen, Haibo 9 Li, Gongbao 9 Zhang, Jianjun 8 Chen, Sitong 8 Yi, Yingfei 8 Zhao, Fukun 7 Guo, Shangjiang 7 Jiang, Shunjun 7 Li, Quanqing 7 Si, Wen 7 Sun, Juntao 7 Teng, Kaimin 7 Wang, Dabin 7 Xiao, Lu 7 Ye, Hongyu 6 Alves, Claudianor Oliveira 6 Chen, Jianqing 6 Cheng, Bitao 6 Cong, Fuzhong 6 Figueiredo, Giovany Malcher 6 Guan, Wen 6 Huang, Yisheng 6 Lei, Chunyu 6 Lü, Dengfeng 6 Lu, Xuezhu 6 Shi, Junping 6 Shuai, Wei 6 Suo, Hong-Min 6 Wang, Wenbo 6 Yuan, Rong 5 Du, Miao 5 Li, Fuyi 5 Liu, Zeng 5 Peng, Shuangjie 5 Qin, Dongdong 5 Santos, João R. jun. 5 Sevryuk, Mikhail Borisovich 5 Tian, Lixin 5 Wu, Tsungfang 5 Wu, Xian 4 Chen, Peng 4 Chu, Changmu 4 Hanßmann, Heinz 4 He, Xiaoming 4 Li, Yuhua 4 Liao, Jiafeng 4 Qian, Weichao 4 Wu, Yuanze 4 Yang, Xue 4 Ye, Yiwei 4 Yu, Jian-She 4 Yu, Yuanyang 4 Zhu, Chunpeng 3 Cao, Xiaofei 3 Chen, Shaowei 3 Cheng, Rong 3 Do Ó, João M. Bezerra 3 Gao, Meina 3 Germano, Geilson F. 3 Grigoryan, Gevorg Avagovich 3 Guo, Zhengguang 3 Han, Yuecai 3 Han, Zhiqing 3 He, Yi 3 Hu, Tingxi 3 Jia, HuiFang 3 Kong, Yuedong 3 Li, Lin 3 Li, Xinfu 3 Liao, Fangfang 3 Liu, Chungen 3 Liu, Gaosheng 3 Liu, Jiu 3 Liu, Shujuan 3 Liu, Weiming 3 Lu, Lu 3 Mao, Anmin 3 Minhós, Feliz Manuel 3 Nieto Roig, Juan Jose ...and 465 more Authors all top 5 Cited in 121 Serials 46 Journal of Differential Equations 43 Journal of Mathematical Analysis and Applications 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Journal of Mathematical Physics 25 Communications on Pure and Applied Analysis 21 Boundary Value Problems 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Discrete and Continuous Dynamical Systems 18 Computers & Mathematics with Applications 18 Mathematical Methods in the Applied Sciences 16 Journal of Dynamics and Differential Equations 15 Applicable Analysis 13 Nonlinear Analysis. 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Mathematics 3 Journal of Applied Analysis and Computation 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Asymptotic Analysis 2 Science in China. Series A 2 Indagationes Mathematicae. New Series 2 Potential Analysis 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Milan Journal of Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Advances in Mathematical Physics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Analysis and Mathematical Physics 2 AIMS Mathematics 2 SN Partial Differential Equations and Applications 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Ukrainian Mathematical Journal 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Glasgow Mathematical Journal 1 Manuscripta Mathematica 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Studies in Applied Mathematics 1 Physica D 1 Journal of the Ramanujan Mathematical Society 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Differential Equations and Dynamical Systems ...and 21 more Serials all top 5 Cited in 24 Fields 420 Partial differential equations (35-XX) 222 Dynamical systems and ergodic theory (37-XX) 96 Ordinary differential equations (34-XX) 93 Mechanics of particles and systems (70-XX) 48 Global analysis, analysis on manifolds (58-XX) 28 Operator theory (47-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 14 Quantum theory (81-XX) 9 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 4 Integral equations (45-XX) 4 Differential geometry (53-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year