Edit Profile Xu, Junxiang Compute Distance To: Compute Author ID: xu.junxiang Published as: Xu, Junxiang; Xu, J. X.; Xu, J.; Xu, J.-X.; Xu, Jun Xiang; Xu, Jun-Xiang Documents Indexed: 148 Publications since 1990 all top 5 Co-Authors 11 single-authored 44 Zhang, Fubao 26 Wang, Jun 23 Zhang, Dongfeng 15 Zhang, Hui 10 Shi, Yanling 10 Wang, Xiaocai 9 You, Jiangong 8 Xu, XinDong 7 Lu, Xuezhu 6 Cao, Xiaofei 6 Ding, Jian 6 Tian, Lixin 4 Zhu, Min 3 Cheng, Rong 3 Jiang, Shunjun 3 Kong, Yuedong 3 Qiu, Qingjiu 2 Guo, Jingni 2 Liu, Xila 1 Bi, Qiaoyan 1 Chen, Xumei 1 Cheng, Chunrui 1 Du, Miao 1 He, Zhenggang 1 Kun, Wang 1 Liang, Jianli 1 Liao, Wei 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 7 Discrete and Continuous Dynamical Systems 6 Mathematical Methods in the Applied Sciences 5 Journal of Mathematical Physics 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 Journal of Differential Equations 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 Science in China. Series A 3 Abstract and Applied Analysis 3 Advanced Nonlinear Studies 2 Applicable Analysis 2 International Journal of Systems Science 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematische Zeitschrift 2 SIAM Journal on Matrix Analysis and Applications 2 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Acta Mathematica Sinica. English Series 2 Boundary Value Problems 1 Computers & Mathematics with Applications 1 Journal of Sound and Vibration 1 Nonlinearity 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 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 Regular and Chaotic Dynamics 1 RAIRO. Operations Research 1 Annales Henri Poincaré 1 Dynamical Systems 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Analysis in Theory and Applications 1 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 75 Dynamical systems and ergodic theory (37-XX) 55 Partial differential equations (35-XX) 40 Ordinary differential equations (34-XX) 23 Mechanics of particles and systems (70-XX) 12 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) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 915 times in 556 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 180 2012 Invariant tori for nearly integrable Hamiltonian systems with degeneracy. Zbl 0899.34030Xu, Junxiang; You, Jiangong; Qiu, Qingjiu 72 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 41 2013 Persistence of lower-dimensional tori under the first Melnikov’s non-resonance condition. Zbl 1031.37053Xu, Junxiang; You, Jiangong 31 2001 Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems. Zbl 1204.37067Wang, Jun; Zhang, Fubao; Xu, Junxiang 22 2010 Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033Wang, Jun; Xu, Junxiang; Zhang, Fubao 21 2011 Normal form of reversible systems and persistence of lower dimensional tori under weaker nonresonance conditions. Zbl 1075.37020Xu, Junxiang 17 2004 Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation. Zbl 1218.34050Xu, Junxiang; Jiang, Shunjun 17 2011 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 On the persistence of degenerate lower-dimensional tori in reversible systems. Zbl 1351.37231Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 16 2015 On the reducibility of a class of linear differential equations with quasiperiodic coefficients. Zbl 1043.34036Xu, Junxiang 15 1999 Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Zbl 1202.37080Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 14 2010 On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076Xu, Junxiang 14 2011 On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121Zhu, Min; Xu, Junxiang 14 2012 On the reducibility of linear differential equations with quasiperiodic coefficients which are degenerate. Zbl 0897.34011Xu, Junxiang; Zheng, Qin 13 1998 Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann’s non-degeneracy condition. Zbl 1175.37065Wang, Xiaocai; Xu, Junxiang 13 2009 Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 13 2012 A KAM theorem of degenerate infinite dimensional Hamiltonian systems. II. Zbl 0855.58030Xu, Junxiang; Qiu, Qingjiu; You, Jiangong 12 1996 Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079Xu, Junxiang; You, Jiangong 12 2010 On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s non-degeneracy condition. Zbl 1112.37046Zhang, Dongfeng; Xu, Junxiang 12 2006 A KAM theorem of degenerate infinite dimensional Hamiltonian systems. I. Zbl 0855.58029Xu, Junxiang; Qiu, Qingjiu; You, Jiangong 11 1996 Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei 11 2013 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 On quasi-periodic solutions for a generalized Boussinesq equation. Zbl 1339.37078Shi, Yanling; Xu, Junxiang; Xu, Xindong 10 2014 Existence and multiplicity of solutions for a generalized Choquard equation. Zbl 1375.35134Zhang, Hui; Xu, Junxiang; Zhang, Fubao 10 2017 Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth. Zbl 1329.35144Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 10 2015 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 10 2008 Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems. Zbl 1183.35115Wang, Jun; Xu, Junxiang; Zhang, Fubao 9 2010 Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang 8 2011 Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225Zhang, Hui; Xu, Junxiang; Zhang, Fubao 8 2015 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 7 2014 On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045Xu, Junxiang 7 2013 Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 2013 Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition. Zbl 1203.37103Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2010 Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\). Zbl 1187.35055Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2010 Ground state solutions for asymptotically periodic Schrödinger equations with indefinite linear part. Zbl 1317.35024Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 2015 On the reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070Xu, Junxiang; Lu, Xuezhu 7 2015 Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009Zhang, Dongfeng; Xu, Junxiang 6 2014 Persistence of elliptic lower dimensional invariant tori for small perturbation of degenerate integrable Hamiltonian systems. Zbl 0889.58045Xu, Junxiang 5 1997 On reducibility of linear differential equations with almost-periodic coefficients. Zbl 0922.34040Xu, Junxiang; You, Jiangong 5 1996 A note on the extension of the Dinaburg-Sinai theorem to higher dimension. Zbl 1087.34023Liang, Jianli; Xu, Junxiang 5 2005 On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Zbl 1333.37091Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 5 2016 Persistence of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings. Zbl 1339.37044Bi, Qiaoyan; Xu, Junxiang 5 2014 General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070Xu, Junxiang; Lu, Xuezhu 5 2016 Persistence of invariant torus in Hamiltonian systems with two-degree of freedom. Zbl 1134.37025Zhang, Li; Xu, Junxiang 5 2008 Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141Wang, Jun; Xu, Junxiang; Zhang, Fubao 5 2012 Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055Wang, Jun; Zhang, Hui; Xu, Junxiang; Zhang, Fubao 4 2012 Convexity and elasticity of the growth rate in size-classified population models. Zbl 1068.92039Kirkland, S. J.; Neumann, M.; Xu, J. 4 2004 On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039Xu, Junxiang; Kun, Wang; Min, Zhu 4 2016 On the effective reducibility of a class of quasi-periodic Hamiltonian systems. Zbl 1332.34077Li, Jia; Xu, Junxiang 4 2015 Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138Shi, Yanling; Xu, Junxiang; Xu, Xindong 4 2017 A KAM theorem for a class of nearly integrable symplectic mappings. Zbl 1370.37117Lu, Xuezhu; Li, Jia; Xu, Junxiang 4 2017 On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034Zhang, Dongfeng; Xu, Junxiang; Wu, Hao 4 2016 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 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 Corrigendum for the paper “Invariant tori for nearly integrable Hamiltonian systems with degeneracy”. Zbl 1129.34314Xu, Junxiang; You, Jiangong 4 2007 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 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 On small perturbations of a nonlinear periodic system with degenerate equilibrium. Zbl 1315.37038Lu, Xuezhu; Xu, Junxiang 4 2014 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 Persistence of lower dimensional hyperbolic tori for reversible system. Zbl 1334.37068Kong, Yuedong; Xu, Junxiang 3 2014 Infinitely many solutions for diffusion equations without symmetry. Zbl 1231.35095Wang, Jun; Xu, Junxiang; Zhang, Fubao 3 2011 Persistence of Floquet invariant tori for a class of non-conservative dynamical systems. Zbl 1189.37066Xu, Junxiang 3 2007 Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026Wang, Jun; Xu, Junxiang; Zhang, Fubao 3 2012 Existence of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363Zhang, Hui; Xu, Junxiang; Zhang, Fubao 3 2013 On the Cauchy problem for the two-component \(b\)-family system. Zbl 1277.35136Zhu, Min; Xu, Junxiang 3 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 Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao 3 2014 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 On the elasticity of the Perron root of a nonnegative matrix. Zbl 1020.15022Kirkland, S. J.; Neumann, M.; Ormes, N.; Xu, J. 2 2002 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 Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies. Zbl 1430.34052Zhang, Dongfeng; Xu, Junxiang; Xu, Xindong 2 2018 Distributed adaptive iterative learning control for nonlinear multiagent systems with state constraints. Zbl 1383.93004Shen, D.; Xu, J.-X. 2 2017 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 new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. Zbl 1338.37075Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 2 2016 The existence of solutions for superquadratic Hamiltonian elliptic systems on \(\mathbb R^N\). Zbl 1204.35084Wang, Jun; Xu, Junxiang; Zhang, Fubao 2 2011 Even homoclinic orbits for super quadratic Hamiltonian systems. Zbl 1201.37096Ding, Jian; Xu, Junxiang; Zhang, Fubao 2 2010 Boundedness of solutions for a class of second-order differential equations. Zbl 1139.34033Cheng, Chunrui; Xu, Junxiang 2 2008 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 tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s nondegeneracy condition. Zbl 1121.37046Zhang, Dongfeng; Xu, Junxiang 2 2007 Analysis of structural response under blast loads using the coupled SPH-FEM approach. Zbl 1152.74052Xu, Junxiang; Liu, Xila 2 2008 A symplectic map and its application to the persistence of lower dimensional invariant tori. Zbl 1099.37045Xu, Junxiang; You, Jiangong 2 2002 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 Invariant tori with prescribed frequency for nearly integrable Hamiltonian systems. Zbl 1345.70027Lu, Xuezhu; Xu, Junxiang 2 2014 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 A model-based adaptive sliding controller. Zbl 0854.93025Lee, T. H.; Xu, J. X.; Wang, M. 1 1996 A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Zbl 1392.37048Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 1 2018 KAM tori for defocusing modified KDV equation. Zbl 1375.37164Shi, Yanling; Xu, Junxiang 1 2015 Semiclassical ground states for a class of nonlinear Kirchhoff-type problems. Zbl 1379.35127Zhang, Hui; Xu, Junxiang; Zhang, Fubao 1 2017 Normalized solutions for a coupled Schrödinger system with saturable nonlinearities. Zbl 1382.35262Cao, Xiaofei; Xu, Junxiang; Wang, Jun; Zhang, Fubao 1 2018 On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. Zbl 1308.76041Shi, Yanling; Xu, Junxiang; Xu, Xindong 1 2015 Ground states for Schrödinger-Poisson systems with three growth terms. Zbl 1315.35088Zhang, Hui; Zhang, Fubao; Xu, Junxiang 1 2014 A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems. Zbl 1364.37131Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 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 Existence and nonexistence of ground states for a class of quasilinear Schrödinger equations. Zbl 1357.35109Zhang, Hui; Zhang, Fubao; Xu, Junxiang 1 2016 Multiplicity of semiclassical states for Schrödinger-Poisson systems with critical frequency. Zbl 1433.35065Zhang, Hui; Xu, Junxiang; Zhang, Fubao 4 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 2 2018 A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character. Zbl 1392.37048Zhang, Dongfeng; Xu, Junxiang; Wang, Xiaocai 1 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 10 2017 Quasi-periodic solutions of generalized Boussinesq equation with quasi-periodic forcing. Zbl 1366.37138Shi, Yanling; Xu, Junxiang; Xu, Xindong 4 2017 A KAM theorem for a class of nearly integrable symplectic mappings. Zbl 1370.37117Lu, Xuezhu; Li, Jia; Xu, Junxiang 4 2017 Distributed adaptive iterative learning control for nonlinear multiagent systems with state constraints. Zbl 1383.93004Shen, D.; Xu, J.-X. 2 2017 Semiclassical ground states for a class of nonlinear Kirchhoff-type problems. Zbl 1379.35127Zhang, Hui; Xu, Junxiang; Zhang, Fubao 1 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 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 persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems. Zbl 1333.37091Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 5 2016 General KAM theorems and their applications to invariant tori with prescribed frequencies. Zbl 1344.37070Xu, Junxiang; Lu, Xuezhu 5 2016 On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters. Zbl 1350.34039Xu, Junxiang; Kun, Wang; Min, Zhu 4 2016 On invariant tori with prescribed frequency in Hamiltonian systems. Zbl 1364.70034Zhang, Dongfeng; Xu, Junxiang; Wu, Hao 4 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 A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems. Zbl 1338.37075Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 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 16 2015 Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth. Zbl 1329.35144Wang, Jun; Tian, Lixin; Xu, Junxiang; Zhang, Fubao 10 2015 Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in \(\mathbb{R}^{N}\). Zbl 1328.35225Zhang, Hui; Xu, Junxiang; Zhang, Fubao 8 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 reducibility of two-dimensional linear quasi-periodic systems with small parameter. Zbl 1352.37070Xu, Junxiang; Lu, Xuezhu 7 2015 On the effective reducibility of a class of quasi-periodic Hamiltonian systems. Zbl 1332.34077Li, Jia; Xu, Junxiang 4 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 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 KAM tori for defocusing modified KDV equation. Zbl 1375.37164Shi, Yanling; Xu, Junxiang 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 10 2014 On a class of semilinear Schrödinger equations with indefinite linear part. Zbl 1312.35105Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 2014 Invariant curves of analytic reversible mappings under Brjuno-Rüssmann’s non-resonant condition. Zbl 1320.47009Zhang, Dongfeng; Xu, Junxiang 6 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 Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Zbl 1300.35033Zhang, Hui; Xu, Junxiang; Zhang, Fubao; Du, Miao 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 41 2013 Existence of multi-bump solutions for a semilinear Schrödinger-Poisson system. Zbl 1301.35159Wang, Jun; Xu, Junxiang; Zhang, Fubao; Chen, Xumei 11 2013 On quasi-periodic perturbations of hyperbolic-type degenerate equilibrium point of a class of planar systems. Zbl 1278.34045Xu, Junxiang 7 2013 Positive ground states for asymptotically periodic Schrödinger-Poisson systems. Zbl 1271.35022Zhang, Hui; Xu, Junxiang; Zhang, Fubao 7 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 of positive ground states for some nonlinear Schrödinger systems. Zbl 1282.35363Zhang, Hui; Xu, Junxiang; Zhang, Fubao 3 2013 On the Cauchy problem for the two-component \(b\)-family system. Zbl 1277.35136Zhu, Min; Xu, Junxiang 3 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 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 180 2012 On the wave-breaking phenomena for the periodic two-component Dullin-Gottwald-Holm system. Zbl 1298.35121Zhu, Min; Xu, Junxiang 14 2012 Degenerate lower dimensional tori in reversible systems. Zbl 1260.37029Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 13 2012 Existence of semiclassical ground-state solutions for semilinear elliptic systems. Zbl 1329.35141Wang, Jun; Xu, Junxiang; Zhang, Fubao 5 2012 Existence of infinitely many homoclinic orbits for nonperiodic superquadratic Hamiltonian systems. Zbl 1248.34055Wang, Jun; Zhang, Hui; 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 Infinitely many homoclinic orbits for superlinear Hamiltonian systems. Zbl 1261.37026Wang, Jun; Xu, Junxiang; Zhang, Fubao 3 2012 Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic potentials. Zbl 1231.37033Wang, Jun; Xu, Junxiang; Zhang, Fubao 21 2011 Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation. Zbl 1218.34050Xu, Junxiang; Jiang, Shunjun 17 2011 On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point. Zbl 1217.34076Xu, Junxiang 14 2011 Persistence of lower dimensional tori for a class of nearly integrable reversible systems. Zbl 1223.37075Wang, Xiaocai; Zhang, Dongfeng; Xu, Junxiang 8 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 22 2010 Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems. Zbl 1202.37080Wang, Xiaocai; Xu, Junxiang; Zhang, Dongfeng 14 2010 Persistence of the non-twist torus in nearly integrable Hamiltonian systems. Zbl 1202.37079Xu, Junxiang; You, Jiangong 12 2010 Existence of solutions for nonperiodic superquadratic Hamiltonian elliptic systems. Zbl 1183.35115Wang, Jun; Xu, Junxiang; Zhang, Fubao 9 2010 Homoclinic orbits for superlinear Hamiltonian systems without Ambrosetti-Rabinowitz growth condition. Zbl 1203.37103Wang, Jun; Xu, Junxiang; Zhang, Fubao 7 2010 Existence and multiplicity of solutions for asymptotically Hamiltonian elliptic systems in \(\mathbb R^N\). Zbl 1187.35055Wang, 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 Solutions of non-periodic super-quadratic Dirac equations. Zbl 1186.35171Ding, Jian; Xu, Junxiang; Zhang, Fubao 1 2010 Homoclinic orbits of nonperiodic super quadratic Hamiltonian system. Zbl 1192.37088Ding, Jian; Xu, Junxiang; Zhang, Fubao 1 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 Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann’s non-degeneracy condition. Zbl 1175.37065Wang, Xiaocai; Xu, Junxiang 13 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 10 2008 Persistence of invariant torus in Hamiltonian systems with two-degree of freedom. Zbl 1134.37025Zhang, Li; Xu, Junxiang 5 2008 Boundedness of solutions for a class of second-order differential equations. Zbl 1139.34033Cheng, Chunrui; Xu, Junxiang 2 2008 Analysis of structural response under blast loads using the coupled SPH-FEM approach. Zbl 1152.74052Xu, Junxiang; Liu, Xila 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 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 tori for Gevrey-smooth Hamiltonian systems under Rüssmann’s nondegeneracy condition. Zbl 1121.37046Zhang, 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 12 2006 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 A note on the extension of the Dinaburg-Sinai theorem to higher dimension. Zbl 1087.34023Liang, Jianli; Xu, Junxiang 5 2005 Normal form of reversible systems and persistence of lower dimensional tori under weaker nonresonance conditions. Zbl 1075.37020Xu, Junxiang 17 2004 Convexity and elasticity of the growth rate in size-classified population models. Zbl 1068.92039Kirkland, S. J.; Neumann, M.; Xu, J. 4 2004 On the elasticity of the Perron root of a nonnegative matrix. Zbl 1020.15022Kirkland, S. J.; Neumann, M.; Ormes, N.; Xu, J. 2 2002 A symplectic map and its application to the persistence of lower dimensional invariant tori. Zbl 1099.37045Xu, Junxiang; You, Jiangong 2 2002 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 498 Authors 63 Xu, Junxiang 29 Tang, Xianhua 27 Zhang, Fubao 23 Zhang, Dongfeng 22 Wang, Jun 16 Li, Yong 12 Geng, Jiansheng 12 Ma, Shiwang 12 Shi, Yanling 12 Xu, XinDong 12 Zhang, Hui 12 Zhang, Wen 11 Si, Jianguo 10 You, Jiangong 9 Liu, Zhisu 9 Wang, Xiaocai 9 Xie, Qilin 9 Zhang, Jian 8 Chen, Guanwei 8 Chen, Haibo 8 Li, Gongbao 8 Yi, Yingfei 8 Zhao, Fukun 7 Ambrosio, Vincenzo 7 Chen, Sitong 7 Guo, Shangjiang 7 Jiang, Shunjun 7 Sun, Juntao 7 Xiao, Lu 7 Ye, Hongyu 7 Zhang, Jianjun 7 Zhang, Ziheng 6 Alves, Claudianor Oliveira 6 Chen, Jianqing 6 Cheng, Bitao 6 Cong, Fuzhong 6 Figueiredo, Giovany Malcher 6 Lei, Chunyu 6 Lü, Dengfeng 6 Lu, Xuezhu 6 Shi, Junping 6 Shuai, Wei 5 Du, Miao 5 Huang, Yisheng 5 Li, Fuyi 5 Li, Quanqing 5 Liu, Zeng 5 Peng, Shuangjie 5 Santos, João R. jun. 5 Sevryuk, Mikhail Borisovich 5 Si, Wen 5 Suo, Hong-Min 5 Teng, Kaimin 5 Tian, Lixin 5 Wang, Dabin 5 Wu, Tsung-fang 5 Yuan, Rong 4 Chen, Peng 4 Chu, Changmu 4 Guan, Wen 4 Hanßmann, Heinz 4 He, Xiaoming 4 Li, Yuhua 4 Liao, Jiafeng 4 Qian, Weichao 4 Qin, Dongdong 4 Wang, Wenbo 4 Wu, Yuanze 4 Yang, Xue 4 Ye, Yiwei 4 Yu, Jian-She 3 Chen, Shaowei 3 Cheng, Rong 3 Do Ó, João M. Bezerra 3 Gao, Meina 3 Germano, Geilson F. 3 Guo, Zhengguang 3 Han, Yuecai 3 Han, Zhiqing 3 He, Yi 3 Hu, Tingxi 3 Jia, HuiFang 3 Li, Lin 3 Li, Xinfu 3 Liu, Gao-Sheng 3 Liu, Jiu 3 Lu, Lu 3 Minhós, Feliz Manuel 3 Nieto Roig, Juan Jose 3 Ren, Xiufang 3 Severo, Uberlandio Batista 3 Shen, Zupei 3 Sun, Dongdong 3 Sun, Jijiang 3 Tang, Chun-Lei 3 Wang, Weiming 3 Wu, Dong-Lun 3 Wu, Xian 3 Xiang, Changlin 3 Xu, Liping ...and 398 more Authors all top 5 Cited in 112 Serials 43 Journal of Mathematical Analysis and Applications 41 Journal of Differential Equations 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Mathematical Physics 21 Communications on Pure and Applied Analysis 18 Computers & Mathematics with Applications 18 Mathematical Methods in the Applied Sciences 18 Discrete and Continuous Dynamical Systems 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Journal of Dynamics and Differential Equations 13 Applicable Analysis 13 Nonlinear Analysis. Real World Applications 12 Advances in Difference Equations 9 Abstract and Applied Analysis 9 Qualitative Theory of Dynamical Systems 9 Boundary Value Problems 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Applied Mathematics and Computation 7 Applied Mathematics Letters 7 Topological Methods in Nonlinear Analysis 7 Calculus of Variations and Partial Differential Equations 7 Acta Mathematica Sinica. English Series 6 Dynamical Systems 6 Discrete and Continuous Dynamical Systems. Series B 6 Advanced Nonlinear Studies 6 Complex Variables and Elliptic Equations 5 Mathematische Nachrichten 5 Monatshefte für Mathematik 5 Proceedings of the American Mathematical Society 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Communications in Contemporary Mathematics 5 Journal of Applied Mathematics and Computing 5 Mediterranean Journal of Mathematics 5 Journal of Function Spaces 4 Chaos, Solitons and Fractals 4 Electronic Journal of Differential Equations (EJDE) 4 NoDEA. Nonlinear Differential Equations and Applications 4 Regular and Chaotic Dynamics 4 Annales Henri Poincaré 3 Rocky Mountain Journal of Mathematics 3 Ergodic Theory and Dynamical Systems 3 Acta Applicandae Mathematicae 3 Journal of Nonlinear Science 3 Frontiers of Mathematics in China 3 Journal of Nonlinear Science and Applications 3 Science China. Mathematics 3 Journal of Applied Analysis and Computation 3 Advances in Nonlinear Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Nonlinearity 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 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 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 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 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 Results in Mathematics 1 Studies in Applied Mathematics 1 Physica D 1 Asymptotic Analysis 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 Nonlinear Dynamics 1 Positivity 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Journal of Dynamical and Control Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Central European Journal of Mathematics ...and 12 more Serials all top 5 Cited in 24 Fields 363 Partial differential equations (35-XX) 199 Dynamical systems and ergodic theory (37-XX) 90 Ordinary differential equations (34-XX) 81 Mechanics of particles and systems (70-XX) 42 Global analysis, analysis on manifolds (58-XX) 24 Operator theory (47-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 13 Quantum theory (81-XX) 8 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 4 Differential geometry (53-XX) 3 Integral equations (45-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-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