Edit Profile (opens in new tab) LaSalle, Joseph Pierre Compute Distance To: Compute Author ID: lasalle.joseph-p Published as: LaSalle, J. P.; LaSalle, Joseph P.; La Salle, J. P.; La Salle, J.; LaSalle, J.; Lasalle, J. P.; La Salle, Joseph more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 43 Publications since 1941, including 9 Books 8 Contributions as Editor Biographic References: 3 Publications Co-Authors: 11 Co-Authors with 21 Joint Publications 198 Co-Co-Authors all top 5 Co-Authors 29 single-authored 7 Lefschetz, Solomon 5 Hale, Jack Kenneth 3 Diaz, Joaquin Basilio 2 Cesari, Lamberto 2 Haaser, Norman B. 2 Sullivan, Joseph A. 1 Artstein, Zvi 1 Billotti, J. E. 1 Hermes, Henry 1 Onwuchekwa, E. N. 1 Slemrod, Marshall 1 Wan, San all top 5 Serials 5 Proceedings of the National Academy of Sciences of the United States of America 3 Annals of Mathematics. Second Series 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 SIAM Review 2 Annals of Mathematics Studies 2 Mathematics in Science and Engineering 1 Acta Mexicana de Ciencia y Tecnologia 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 IEEE Transactions on Automatic Control 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 Bulletin of the American Mathematical Society 1 Revista de Ciencias, Lima 1 Applied Mathematical Sciences 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Proceedings of Symposia in Applied Mathematics 1 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 18 Ordinary differential equations (34-XX) 7 General and overarching topics; collections (00-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-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 43 Publications have been cited 1,938 times in 1,793 Documents Cited by ▼ Year ▼ The stability of dynamical systems. Zvi Artstein: appendix A, limiting equations and stability of nonautonomous ordinary differential equations. Zbl 0364.93002LaSalle, J. P. 660 1976 Stability by Liapunov’s direct method. With applications. Zbl 0098.06102La Salle, Joseph; Lefschetz, Solomon 300 1961 Stability theory for ordinary differential equations. Zbl 0159.12002LaSalle, J. P. 204 1968 Functional analysis and time optimal control. Zbl 0203.47504Hermes, H.; LaSalle, J. P. 162 1969 The stability and control of discrete processes. Zbl 0606.93001LaSalle, J. P. 84 1986 The time optimal control problem. Zbl 0095.29503LaSalle, J. P. 67 1960 Stability theory and the asymptotic behavior of dynamical systems. Zbl 0153.40602LaSalle, J. P. 57 1967 Dissipative periodic processes. Zbl 0274.34061Billotti, J. E.; Lasalle, J. P. 50 1971 The extent of asymptotic stability. Zbl 0094.28602LaSalle, J. P. 46 1960 Stability of nonautonomous systems. Zbl 0355.34037LaSalle, J. P. 38 1976 An invariance principle in the theory of stability. Zbl 0183.09401LaSalle, J. P. 31 1967 Time optimal control systems. Zbl 0085.34403LaSalle, J. P. 27 1959 Theory of a general class of dissipative processes. Zbl 0238.34098Hale, J. K.; LaSalle, J. P.; Slemrod, Marshall 24 1972 Uniqueness theorems and successive approximations. Zbl 0045.36602LaSalle, J. 20 1949 Asymptotic stability criteria. Zbl 0107.29303LaSalle, J. P. 19 1962 Recent advances in Liapunov stability theory. Zbl 0126.29809LaSalle, J. P. 17 1964 Stability theory for difference equations. Zbl 0397.39009LaSalle, J. P. 13 1977 Relaxation oscillations. Zbl 0032.31703La Salle, J. 12 1949 A study of synchronous asymptotic stability. Zbl 0080.07301LaSalle, J. P. 12 1957 Stability by Liapunov’s direct method. With applications. Translation from the English by N.H.Rozof. Zbl 0116.06504La Salle, J.; Lefshetz, S. 9 1964 Invariance principles and stability theory for nonautonomous systems. Zbl 0364.34024La Salle, J. P. 8 1974 Generalized invariance principles and the theory of stability. Zbl 0277.34051LaSalle, J. P. 7 1971 Stability theory and invariance principles. Zbl 0356.34047LaSalle, Joseph P. 7 1976 Differential equations: linearity vs. nonlinearity. Zbl 0133.35104Hale, Jack K.; LaSalle, Joseph P. 6 1963 Pseudo-normed linear spaces. Zbl 0025.06303La Salle, J. P. 6 1941 Topology based upon the concept of a pseudo-norm. Zbl 0063.03455Lasalle, J. P. 6 1941 Recent Soviet contributions to ordinary differential equations and nonlinear mechanics. Zbl 0104.05602LaSalle, Joseph P.; Lefschetz, Solomon 6 1961 Pseudo-normed linear spaces. JFM 67.0399.02LaSalle, J. P. 6 1941 New stability results for nonautonomous systems. Zbl 0538.34033LaSalle, J. P. 5 1977 Differential equations: Linearity vs. nonlinearity. Zbl 0211.39602Hale, J. K.; LaSalle, J. P. 5 1967 Vector Liapunov functions. Zbl 0317.34038LaSalle, J. P. 4 1975 Uniqueness theorems and successive approximations. Zbl 0041.42308La Salle, J. 4 1949 Recent Soviet contributions to mathematics. Zbl 0127.24101LaSalle, J.; Lefschetz, S. 4 1962 Complete stability of a nonlinear control system. Zbl 0106.29502LaSalle, J. P. 3 1962 International symposium on nonlinear differential equations and nonlinear mechanics. Zbl 0129.00102 1 1963 Stability and control. Zbl 0143.12504LaSalle, J. P. 1 1962 Die Stabilitätstheorie von Ljapunow. Die direkte Methode mit Anwendungen. Zbl 0162.12003La Salle, J.; Lefschetz, S. 1 1967 Application of the pseudo-norm to the study of linear topological spaces. Zbl 0060.26107La Salle, J. P. 1 1945 Introduction to analysis. Zbl 0088.04101Haaser, Norman B.; LaSalle, Joseph P.; Sullivan, Joseph A. 1 1959 Contributions to the theory of nonlinear oscillations. Vol. V. Zbl 0095.28902 1 1960 Time optimal control. Zbl 0103.07401LaSalle, J. P. 1 1960 Contributions to differential equations. Zbl 0121.24304 1 1963 Optimality and strong stability of control systems. Zbl 0207.14902LaSalle, J. P.; Wan, San 1 1968 The stability and control of discrete processes. Zbl 0606.93001LaSalle, J. P. 84 1986 Stability theory for difference equations. Zbl 0397.39009LaSalle, J. P. 13 1977 New stability results for nonautonomous systems. Zbl 0538.34033LaSalle, J. P. 5 1977 The stability of dynamical systems. Zvi Artstein: appendix A, limiting equations and stability of nonautonomous ordinary differential equations. Zbl 0364.93002LaSalle, J. P. 660 1976 Stability of nonautonomous systems. Zbl 0355.34037LaSalle, J. P. 38 1976 Stability theory and invariance principles. Zbl 0356.34047LaSalle, Joseph P. 7 1976 Vector Liapunov functions. Zbl 0317.34038LaSalle, J. P. 4 1975 Invariance principles and stability theory for nonautonomous systems. Zbl 0364.34024La Salle, J. P. 8 1974 Theory of a general class of dissipative processes. Zbl 0238.34098Hale, J. K.; LaSalle, J. P.; Slemrod, Marshall 24 1972 Dissipative periodic processes. Zbl 0274.34061Billotti, J. E.; Lasalle, J. P. 50 1971 Generalized invariance principles and the theory of stability. Zbl 0277.34051LaSalle, J. P. 7 1971 Functional analysis and time optimal control. Zbl 0203.47504Hermes, H.; LaSalle, J. P. 162 1969 Stability theory for ordinary differential equations. Zbl 0159.12002LaSalle, J. P. 204 1968 Optimality and strong stability of control systems. Zbl 0207.14902LaSalle, J. P.; Wan, San 1 1968 Stability theory and the asymptotic behavior of dynamical systems. Zbl 0153.40602LaSalle, J. P. 57 1967 An invariance principle in the theory of stability. Zbl 0183.09401LaSalle, J. P. 31 1967 Differential equations: Linearity vs. nonlinearity. Zbl 0211.39602Hale, J. K.; LaSalle, J. P. 5 1967 Die Stabilitätstheorie von Ljapunow. Die direkte Methode mit Anwendungen. Zbl 0162.12003La Salle, J.; Lefschetz, S. 1 1967 Recent advances in Liapunov stability theory. Zbl 0126.29809LaSalle, J. P. 17 1964 Stability by Liapunov’s direct method. With applications. Translation from the English by N.H.Rozof. Zbl 0116.06504La Salle, J.; Lefshetz, S. 9 1964 Differential equations: linearity vs. nonlinearity. Zbl 0133.35104Hale, Jack K.; LaSalle, Joseph P. 6 1963 International symposium on nonlinear differential equations and nonlinear mechanics. Zbl 0129.00102 1 1963 Contributions to differential equations. Zbl 0121.24304 1 1963 Asymptotic stability criteria. Zbl 0107.29303LaSalle, J. P. 19 1962 Recent Soviet contributions to mathematics. Zbl 0127.24101LaSalle, J.; Lefschetz, S. 4 1962 Complete stability of a nonlinear control system. Zbl 0106.29502LaSalle, J. P. 3 1962 Stability and control. Zbl 0143.12504LaSalle, J. P. 1 1962 Stability by Liapunov’s direct method. With applications. Zbl 0098.06102La Salle, Joseph; Lefschetz, Solomon 300 1961 Recent Soviet contributions to ordinary differential equations and nonlinear mechanics. Zbl 0104.05602LaSalle, Joseph P.; Lefschetz, Solomon 6 1961 The time optimal control problem. Zbl 0095.29503LaSalle, J. P. 67 1960 The extent of asymptotic stability. Zbl 0094.28602LaSalle, J. P. 46 1960 Contributions to the theory of nonlinear oscillations. Vol. V. Zbl 0095.28902 1 1960 Time optimal control. Zbl 0103.07401LaSalle, J. P. 1 1960 Time optimal control systems. Zbl 0085.34403LaSalle, J. P. 27 1959 Introduction to analysis. Zbl 0088.04101Haaser, Norman B.; LaSalle, Joseph P.; Sullivan, Joseph A. 1 1959 A study of synchronous asymptotic stability. Zbl 0080.07301LaSalle, J. P. 12 1957 Uniqueness theorems and successive approximations. Zbl 0045.36602LaSalle, J. 20 1949 Relaxation oscillations. Zbl 0032.31703La Salle, J. 12 1949 Uniqueness theorems and successive approximations. Zbl 0041.42308La Salle, J. 4 1949 Application of the pseudo-norm to the study of linear topological spaces. Zbl 0060.26107La Salle, J. P. 1 1945 Pseudo-normed linear spaces. Zbl 0025.06303La Salle, J. P. 6 1941 Topology based upon the concept of a pseudo-norm. Zbl 0063.03455Lasalle, J. P. 6 1941 Pseudo-normed linear spaces. JFM 67.0399.02LaSalle, J. P. 6 1941 all cited Publications top 5 cited Publications all top 5 Cited by 2,473 Authors 21 Huo, Hai-Feng 16 Huang, Lihong 14 Jin, Zhen 14 Li, Michael Yi 13 Chukwu, Ethelbert Nwakuche 13 Li, Jianquan 12 Barreira, Luis Manuel 12 Bowong, Samuel 12 Elaiw, Ahmed M. 12 Goh, Bean San 12 Hale, Jack Kenneth 12 Hattaf, Khalid 12 Mushayabasa, Steady 12 Valls Anglés, Cláudia 11 Sun, Guiquan 10 Gumel, Abba B. 10 Lubuma, Jean Mbaro-Saman 10 Shuai, Zhisheng 10 Tewa, Jean-Jules 10 Xu, Daoyi 9 Martynyuk, Anatoliĭ Andriĭovych 9 Sallet, Gauthier 9 Sell, George Roger 9 Slemrod, Marshall 9 Wang, Jin 9 Xiang, Hong 9 Yousfi, Noura 8 Cao, Jinde 8 Li, Xuezhi 8 Ma, Zhien 8 Mao, Xuerong 8 Nyabadza, Farai 8 Wu, Jianhong 8 Xia, Yonghui 7 Dauer, Jerald P. 7 Hájek, Otomar 7 Khan, Muhammad Altaf 7 Liu, Bingwen 7 Makinde, Oluwole Daniel 7 Ryan, Eugene P. 7 Teng, Zhi-dong 7 van den Driessche, Pauline 7 Wang, Jinliang 7 Zaman, Gul 6 Artstein, Zvi 6 Bürger, Reinhard 6 Burton, Theodore Allen 6 Cai, Liming 6 Chen, Guanrong 6 Chen, Yuming 6 Grujić, Ljubomir T. 6 Iggidr, Abderrahman 6 Kloeden, Peter Eris 6 Kuniya, Toshikazu 6 Li, Mingtao 6 Ozair, Muhammad 6 Ramos, Anderson J. A. 6 Robinson, James Cooper 6 Samanta, Guru Prasad 6 Teel, Andrew Richard 6 Teo, Kok Lay 6 Zhang, Fengqin 6 Zhou, Yicang 5 Ahmed, Nasir Uddin 5 Alshaikh, Matuka A. 5 Asamoah, Joshua Kiddy K. 5 Dubey, Balram 5 Fisher, Michael E. 5 Freitas, Mirelson M. 5 Hermes, Henry 5 Hoang, Manh Tuan 5 Jiang, Haijun 5 Jiang, Zhong-Ping 5 Kamgang, Jean-Claude 5 Liu, Xianning 5 Mukandavire, Zindoga 5 Okuonghae, Daniel 5 Shah, Nita H. 5 Shukla, Jang Bahadur 5 Sinha, Prawal 5 Vaidyanathan, Sundarapandian 5 Wang, Lin 5 Wang, Wendi 5 Wang, Yan 5 Wu, Jinnwen 5 Yang, Chayu 5 Yuan, Zhaohui 5 Zanolin, Fabio 5 Zhao, Hongyong 5 Zhao, Xiao-Qiang 4 Aleksandrov, Aleksandr Yur’evich 4 Alshamrani, Noura H. 4 Alt, Walter 4 Bernoussi, Amine 4 Burgat, Christian 4 Cantrell, Robert Stephen 4 Cosner, Chris 4 Fan, Meng 4 Feng, Lixiang 4 Foiaș, Ciprian ...and 2,373 more Authors all top 5 Cited in 318 Serials 112 Journal of Mathematical Analysis and Applications 88 Journal of Differential Equations 66 Journal of Optimization Theory and Applications 55 Applied Mathematics and Computation 50 Automatica 44 Mathematical Biosciences 38 Chaos, Solitons and Fractals 38 Advances in Difference Equations 36 Mathematical Biosciences and Engineering 33 International Journal of Biomathematics 32 Journal of Biological Dynamics 30 Journal of the Franklin Institute 30 Systems & Control Letters 28 Nonlinear Analysis. Theory, Methods & Applications 27 Discrete and Continuous Dynamical Systems. Series B 26 Computers & Mathematics with Applications 26 International Journal of Control 23 Discrete Dynamics in Nature and Society 23 Nonlinear Analysis. Real World Applications 22 Bulletin of Mathematical Biology 21 Abstract and Applied Analysis 19 Journal of Mathematical Biology 19 Applied Mathematics Letters 19 Applied Mathematical Modelling 17 International Journal of Systems Science 17 Physica A 17 Proceedings of the American Mathematical Society 17 Journal of Applied Mathematics and Computing 16 Annali di Matematica Pura ed Applicata. Serie Quarta 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Journal of Applied Mathematics 13 Mathematical Systems Theory 13 Theoretical Population Biology 13 Journal of Dynamics and Differential Equations 13 Journal of Difference Equations and Applications 12 Physics Letters. A 11 Archive for Rational Mechanics and Analysis 11 Mathematical and Computer Modelling 11 Mathematical Problems in Engineering 11 Communications in Nonlinear Science and Numerical Simulation 11 Journal of Biological Systems 10 Journal of Computational and Applied Mathematics 10 Nonlinear Dynamics 9 Mathematics and Computers in Simulation 8 Applied Mathematics and Mechanics. (English Edition) 8 Acta Applicandae Mathematicae 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 International Journal of Control, I. Series 8 Computational & Mathematical Methods in Medicine 8 Journal of Theoretical Biology 7 Mathematical Methods in the Applied Sciences 7 Rocky Mountain Journal of Mathematics 7 Applied Mathematics and Optimization 7 SIAM Journal on Control and Optimization 7 Neural Networks 7 International Applied Mechanics 7 European Journal of Control 7 Journal of Applied Analysis and Computation 6 Kybernetika 6 Tôhoku Mathematical Journal. Second Series 6 Transactions of the American Mathematical Society 6 MCSS. Mathematics of Control, Signals, and Systems 6 Differential Equations 5 Applicable Analysis 5 Monatshefte für Mathematik 5 Stochastic Analysis and Applications 5 Journal of Mathematical Sciences (New York) 5 Differential Equations and Dynamical Systems 5 Journal of Dynamical and Control Systems 5 Nonlinear Analysis. Hybrid Systems 5 Discrete and Continuous Dynamical Systems. Series S 5 Journal of Applied Nonlinear Dynamics 5 International Journal of Applied and Computational Mathematics 4 Acta Mechanica 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Ukrainian Mathematical Journal 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Rendiconti del Seminario Matematico della Università di Padova 4 Ricerche di Matematica 4 Physica D 4 Acta Mathematicae Applicatae Sinica. English Series 4 Japan Journal of Industrial and Applied Mathematics 4 Dynamics and Control 4 Celestial Mechanics 4 Linear Algebra and its Applications 4 Computational and Applied Mathematics 4 Discrete and Continuous Dynamical Systems 4 Chaos 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 SIAM Journal on Applied Dynamical Systems 4 Bulletin of the American Mathematical Society 4 Mathematical Modelling of Natural Phenomena 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Biological Cybernetics 3 Journal of Applied Mathematics and Mechanics 3 Soviet Applied Mechanics 3 Information Sciences 3 Proceedings of the Japan Academy. Series A ...and 218 more Serials all top 5 Cited in 48 Fields 748 Ordinary differential equations (34-XX) 683 Biology and other natural sciences (92-XX) 445 Systems theory; control (93-XX) 267 Dynamical systems and ergodic theory (37-XX) 186 Calculus of variations and optimal control; optimization (49-XX) 147 Partial differential equations (35-XX) 90 Difference and functional equations (39-XX) 80 Numerical analysis (65-XX) 64 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Mechanics of particles and systems (70-XX) 60 Operations research, mathematical programming (90-XX) 47 Probability theory and stochastic processes (60-XX) 37 Computer science (68-XX) 33 Operator theory (47-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Mechanics of deformable solids (74-XX) 24 Real functions (26-XX) 23 General topology (54-XX) 21 Functional analysis (46-XX) 15 History and biography (01-XX) 15 Integral equations (45-XX) 12 Fluid mechanics (76-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Measure and integration (28-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 8 Quantum theory (81-XX) 7 Statistics (62-XX) 6 Geophysics (86-XX) 5 Mathematical logic and foundations (03-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Differential geometry (53-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.