Edit Profile Lakshmikantham, Vangipuram Compute Distance To: Compute Author ID: lakshmikantham.vangipuram Published as: Lakshmikantham, V.; Lakshmikantham, Vangipuram External Links: MGP · GND Documents Indexed: 461 Publications since 1959, including 47 Books Reviewing Activity: 251 Reviews Biographic References: 10 Publications all top 5 Co-Authors 71 single-authored 78 Leela, Srinivasa G. 30 Vatsala, Aghalaya S. 25 Ladde, Gangaram S. 22 Agarwal, Ravi P. 21 O’Regan, Donal 19 Bernfeld, Stephen R. 19 Bhaskar, Tenali Gnana 16 Vasundhara Devi, Jonnalagadda 13 Sivasundaram, Seenith 12 Heikkilä, Seppo V. 12 Ladas, Gerasimos E. 11 Hu, Shouchuan 11 Liu, Xinzhi 10 Eisenfeld, Jerome 10 Koksal, Semen 8 Martynyuk, Anatoliĭ Andriĭovych 8 Nieto Roig, Juan Jose 8 Sen, Syamal Kumar 8 Shahzad, Naseer 7 Chandra, Jagdish 7 Mitchell, Alfred Richard 7 Papageorgiou, Nikolaos S. 6 Deimling, Klaus 6 Kannan, Rangachary 5 Carl, Siegfried 5 Guo, Dajun 5 Rao, M. Rama Mohana 5 Sun, Yong 5 Zhang, Binggen 4 Deo, Sadashiv G. 4 Drici, Zahia 4 Kiguradze, Tariel I. 4 Mohapatra, Ram Narayan 4 Wiener, Joseph 3 Hallam, Thomas G. 3 Kayande, A. A. 3 Khavanin, Mohammad 3 Liu, Pan-Tai 3 McRae, Farzana A. 3 Mitchell, Roger W. 3 Murty, Kanuri Narasimha 3 Oguztöreli, Mehmet Namik 3 Reddy, Y. M. 3 Tsokos, Christos P. 3 Zhang, Yi 2 Appell, Jürgen M. 2 Bainov, Drumi Dimitrov 2 Byszewski, Ludwik 2 Ćirić, Ljubomir B. 2 Corduneanu, Constantin 2 Dhage, Bapurao C. 2 Escultura, Edgar E. 2 Galanis, George N. 2 Howell, Gary W. 2 Kaul, Saroop K. 2 Kaymakçalan, Billur 2 Kovach, Danny 2 Moauro, Vinicio 2 Nguyen Van Minh 2 Pachpatte, Baburao Govindrao 2 Pandit, Sudhakar G. 2 Sambandham, Masilamani 2 Stephens, Sonya A. F. 2 Trigiante, Donato 2 Vaughn, Randy 2 Walter, Wolfgang 2 Zabreĭko, Pëtr Petrovich 1 Aftabizadeh, A. R. 1 Bede, Barnabás 1 Bhatia, Nam Parshad 1 Bohner, Martin J. 1 Cramer, Evin J. 1 D’Ambrosio, Ubiratan 1 De Blasi, Francesco Saverio 1 Driver, Rodney D. 1 Dshalalow, Jewgeni H. 1 Du, Shengwang 1 Dzhalalov, E. E. 1 Frigon, Marlène 1 Gupta, Chaitan P. 1 Jain, Mukesh Kumar 1 Jankowski, Tadeusz 1 Kamala, P. S. 1 Kannan, Balakrishnan 1 Kannan, Devika 1 Khristova, Snezhana G. 1 Kishore, M. P. K. 1 Kumpulainen, Martti 1 Ledyaev, Yuri Semenovich 1 Lord, M. E. 1 Malek, Sabrine 1 Matrosov, Vladimir Mefod’evich 1 Maulloo, A. K. 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Mohanty, Atanu K 1 Onuchic, Nelson 1 Palamides, Panos K. 1 Papadakis, John S. 1 Ramful, A. 1 Rao, A. N. V. ...and 19 more Co-Authors all top 5 Serials 49 Nonlinear Analysis. Theory, Methods & Applications 43 Journal of Mathematical Analysis and Applications 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Applicable Analysis 20 Applied Mathematics and Computation 16 Nonlinear Studies 10 Journal of Mathematical and Physical Sciences 8 Nonlinear Analysis. Hybrid Systems 6 Communications in Applied Analysis 6 Proceedings of the Cambridge Philosophical Society 5 Computers & Mathematics with Applications 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Proceedings of the National Academy of Sciences, India. Section A 5 Stochastic Analysis and Applications 5 Dynamic Systems and Applications 5 Mathematics in Science and Engineering 5 Pure and Applied Mathematics, Marcel Dekker 4 Archive for Rational Mechanics and Analysis 4 Annales Polonici Mathematici 4 Journal of Computational and Applied Mathematics 4 Journal of Optimization Theory and Applications 4 Journal of Integral Equations 4 Journal of Applied Mathematics and Stochastic Analysis 4 Neural, Parallel & Scientific Computations 4 Nonlinear Dynamics and Systems Theory 3 Michigan Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Differential and Integral Equations 3 Nonlinear World 3 Mathematical Problems in Engineering 3 Mathematical Inequalities & Applications 3 Nonlinear Analysis. Real World Applications 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Rocky Mountain Journal of Mathematics 2 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série 2 Mathematical Systems Theory 2 Transactions of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Journal of Applied Analysis 2 Journal of Inequalities and Applications 2 Lecture Notes in Pure and Applied Mathematics 2 Atlantis Studies in Mathematics for Engineering and Science 1 Avtomatika i Telemekhanika 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea Ia. Matematică-Informatică 1 Analele Universităţii din Timişoara. Ştiinţe Matematice 1 Bulletin of the Calcutta Mathematical Society 1 Bulletin of the London Mathematical Society 1 Conferenze del Seminario di Matematica dell’Università di Bari 1 Control and Cybernetics 1 Fuzzy Sets and Systems 1 IEEE Transactions on Automatic Control 1 Journal of Differential Equations 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 The Mathematics Student 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Yokohama Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Gaṇita-Bhāratī 1 Journal of Applied Mathematics and Simulation 1 Applied Mathematics Letters 1 Panamerican Mathematical Journal 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Prikladnaya Mekhanika 1 SIAM Journal on Applied Mathematics 1 Systems Analysis, Modelling Simulation 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Facta Universitatis. Series Mechanics, Automatic Control and Robotics 1 International Applied Mechanics 1 Nonlinear Times and Digest 1 Memoirs on Differential Equations and Mathematical Physics 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Differential Equations and Dynamical Systems 1 Neliniĭni Kolyvannya 1 Nonlinear Functional Analysis and Applications 1 Archives of Inequalities and Applications 1 Bollettino della Unione Matematica Italiana. Series IV 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Buletinul Institutului Politehnic din Iaşi, New Series 1 North-Holland Mathematics Studies 1 Series in Real Analysis 1 Statistics: Textbooks and Monographs 1 Systems & Control: Foundations & Applications 1 European Journal of Pure and Applied Mathematics 1 Anais da Academia Brasileira de Ciências all top 5 Fields 301 Ordinary differential equations (34-XX) 54 Partial differential equations (35-XX) 45 Operator theory (47-XX) 33 Integral equations (45-XX) 26 Systems theory; control (93-XX) 23 Numerical analysis (65-XX) 18 General and overarching topics; collections (00-XX) 18 Real functions (26-XX) 13 Difference and functional equations (39-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Probability theory and stochastic processes (60-XX) 10 History and biography (01-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Functional analysis (46-XX) 6 Biology and other natural sciences (92-XX) 5 General topology (54-XX) 4 Mathematical logic and foundations (03-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 390 Publications have been cited 14,549 times in 9,271 Documents Cited by ▼ Year ▼ Theory of impulsive differential equations. Zbl 0719.34002Lakshmikantham, V.; Bajnov, D. D.; Simeonov, P. S. 1,683 1989 Nonlinear problems in abstract cones. Zbl 0661.47045Guo, Dajun; Lakshmikantham, V. 1,380 1988 Differential and integral inequalities. Theory and applications. Vol. I: Ordinary differential equations (Mathematics in Science and Engineering. Vol. 55). Zbl 0177.12403Lakshmikantham, V.; Leela, S. 799 1969 Theory of fractional dynamic systems. Zbl 1188.37002Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 569 2009 Fixed point theorems in partially ordered metric spaces and applications. Zbl 1106.47047Bhaskar, T. Gnana; Lakshmikantham, V. 565 2006 Trends in the theory of impulsive differential equations. Zbl 0718.34011Lakshmikantham, V. 500 1989 Monotone iterative techniques for nonlinear differential equations. Zbl 0658.35003Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S. 456 1985 Basic theory of fractional differential equations. Zbl 1161.34001Lakshmikantham, V.; Vatsala, A. S. 421 2008 Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54032Lakshmikantham, V.; Ćirić, Ljubomir 393 2009 Dynamic systems on measure chains. Zbl 0869.34039Lakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B. 277 1996 Theory of fractional functional differential equations. Zbl 1162.34344Lakshmikantham, V. 251 2008 Nonlinear differential equations in abstract spaces. Zbl 0456.34002Lakshmikantham, V.; Leela, S. 236 1981 Oscillation theory of differential equations with deviating arguments. Zbl 0832.34071Ladde, G. S.; Lakshmikantham, V.; Zhang, B. G. 235 1987 Stability analysis of nonlinear systems. Zbl 0676.34003Lakshmikantham, V.; Leela, S.; Martynyuk, A. A. 230 1989 Theory of difference equations: Numerical methods and applications. Zbl 0683.39001Lakshmikantham, V.; Trigiante, D. 230 1988 Nonlinear integral equations in abstract spaces. Zbl 0866.45004Guo, Dajun; Lakshmikantham, V.; Liu, Xinzhi 227 1996 Coupled fixed points of nonlinear operators with applications. Zbl 0635.47045Guo, Dajun; Lakshmikantham, V. 224 1987 Monotone iterative techniques for discontinuous nonlinear differential equations. Zbl 0804.34001Heikkilä, Seppo; Lakshmikantham, V. 215 1994 An introduction to nonlinear boundary value problems. Zbl 0286.34018Bernfeld, Stephen R.; Lakshmikantham, V. 208 1974 On the concept of solution for fractional differential equations with uncertainty. Zbl 1188.34005Agarwal, Ravi P.; Lakshmikantham, V.; Nieto, Juan J. 199 2010 Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space. Zbl 0694.34001Byszewski, Ludwik; Lakshmikantham, V. 188 1991 General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031Lakshmikantham, V.; Vatsala, A. S. 154 2008 Theory of fuzzy differential equations and inclusions. Zbl 1072.34001Lakshmikantham, V.; Mohapatra, Ram N. 148 2003 Oscillation theory of differential equations with deviating arguments. Zbl 0622.34071Ladde, G. S.; Lakshmikantham, V.; Zhang, B. G. 146 1987 Generalized quasilinearization for nonlinear problems. Zbl 0997.34501Lakshmikantham, V.; Vatsala, A. S. 115 1998 Differential equation s in abstract spaces. Zbl 0257.34002Ladas, G. E.; Lakshmikantham, V. 114 1972 Theory of set differential equations in metric spaces. Zbl 1156.34003Lakshmikantham, V.; Gnana Bhaskar, T.; Vasundhara Devi, J. 110 2006 Random differential inequalities. Zbl 0466.60002Ladde, G. S.; Lakshmikantham, V. 108 1980 Theory of fractional differential inequalities and applications. Zbl 1159.34006Lakshmikantham, V.; Vatsala, A. S. 104 2007 Vector Lyapunov functions and stability analysis of nonlinear systems. Zbl 0721.34054Lakshmikantham, V.; Matrosov, V. M.; Sivasundaram, S. 104 1991 Practical stability of nonlinear systems. Zbl 0753.34037Lakshmikantham, V.; Leela, S.; Martynyuk, A. A. 89 1990 Theory of integro-differential equations. Zbl 0849.45004Lakshmikantham, V.; Rao, M. Rama Mohana 77 1995 Equations with unbounded delay: A survey. Zbl 0449.34048Corduneanu, C.; Lakshmikantham, V. 77 1980 Stability analysis in terms of two measures. Zbl 0797.34056Lakshmikantham, V.; Liu, X. Z. 76 1993 Uniqueness and nonuniqueness criteria for ordinary differential equations. Zbl 0785.34003Agarwal, R. P.; Lakshmikantham, V. 75 1993 Theory of fractional differential equations in a Banach space. Zbl 1146.34042Lakshmikantham, V.; Vasundhara Devi, J. 68 2008 Existence and monotone method for periodic solutions of first-order differential equations. Zbl 0525.34031Lakshmikantham, V.; Leela, S. 66 1983 Oscillations of higher-order retarded differential equations generated by the retarded argument. Zbl 0273.34052Ladas, G.; Lakshmikantham, V.; Papadakis, J. S. 62 1972 Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54030Ćirić, Ljubomir; Lakshmikantham, V. 56 2009 Theory of differential equations with unbounded delay. Zbl 0823.34069Lakshmikantham, V.; Wen, Lizhi; Zhang, Binggen 54 1994 Nagumo-type uniqueness result for fractional differential equations. Zbl 1177.34003Lakshmikantham, V.; Leela, S. 50 2009 Theory of difference equations: numerical methods and applications. 2nd ed. Zbl 1014.39001Lakshmikantham, V.; Trigiante, Donato 50 2002 A Krasnoselskii-Krein-type uniqueness result for fractional differential equations. Zbl 1177.34004Lakshmikantham, V.; Leela, S. 46 2009 Remarks on first and second order periodic boundary value problems. Zbl 0532.34029Lakshmikantham, V.; Leela, S. 45 1984 Existence and interrelation between set and fuzzy differential equations. Zbl 1035.34064Lakshmikantham, V.; Tolstonogov, A. A. 43 2003 Monotone iterative technique for differential equations in a Banach space. Zbl 0523.34057Du, S. W.; Lakshmikantham, V. 42 1982 Revisiting fuzzy differential equations. Zbl 1095.34511Bhaskar, T. Gnana; Lakshmikantham, V.; Devi, Vasundhara 41 2004 Initial and boundary value problems for fuzzy differential equations. Zbl 1048.34015O’Regan, Donal; Lakshmikantham, V.; Nieto, Juan J. 40 2003 Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces. Zbl 0645.34014Guo, Dajun; Lakshmikantham, V. 39 1988 Periodic boundary value problems of first and second order differential equations. Zbl 0712.34058Lakshmikantham, V. 38 1989 Stability criteria for impulsive differential equations in terms of two measures. Zbl 0688.34031Lakshmikantham, V.; Liu, Xinzhi 38 1989 Basic results on hybrid differential equations. Zbl 1206.34020Dhage, Bapurao C.; Lakshmikantham, V. 36 2010 On the existence of weak solutions of differential equations in nonreflexive Banach spaces. Zbl 0379.34041Cramer, Evin; Lakshmikantham, V.; Mitchell, A. R. 36 1978 Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times. Zbl 0807.34064Kaul, S.; Lakshmikantham, V.; Leela, S. 35 1994 Periodic boundary value problems for systems of first order impulsive differential equations. Zbl 0732.34040Bajnov, D. D.; Khristova, S. G.; Hu, Shouchuan; Lakshmikantham, V. 33 1989 On quasi stability for impulse differential systems. Zbl 0688.34032Lakshmikantham, V.; Liu, Xinzhi 33 1989 Method of variation of parameters for dynamic systems. Zbl 0920.34001Lakshmikantham, V.; Deo, S. G. 31 1998 Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations. Zbl 1190.49025Galanis, G. N.; Bhaskar, T. Gnana; Lakshmikantham, V.; Palamides, P. K. 30 2005 Hybrid systems on time scales. Zbl 1032.34050Lakshmikantham, V.; Vatsala, A. S. 30 2002 Periodic boundary value problems for second order impulsive differential systems. Zbl 0712.34033Hu, Shouchuan; Lakshmikantham, V. 30 1989 Cone-valued Lyapunov functions. Zbl 0357.34051Lakshmikantham, V.; Leela, S. 30 1977 Nonsmooth analysis and fractional differential equations. Zbl 1237.49022Vasundhara Devi, J.; Lakshmikantham, V. 29 2009 Comparison principle for impulsive differential equations with variable times and stability theory. Zbl 0797.34058Lakshmikantham, V.; Leela, S.; Kaul, S. 29 1994 Lyapunov theory for fractional differential equations. Zbl 1191.34007Lakshmikantham, V.; Leela, S.; Sambandham, M. 28 2008 Fixed point theorems of operators with PPF dependence in Banach spaces. Zbl 0375.47027Bernfeld, Stephen R.; Lakshmikantham, V.; Reddy, Y. M. 28 1977 Set differential equations and flow invariance. Zbl 1047.34010Bhaskar, T. Gnana; Lakshmikantham, V. 27 2003 A stacking theorem approach for fuzzy differential equations. Zbl 1042.34027Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 26 2003 On perturbing Lyapunov functions. Zbl 0354.34050Lakshmikantham, V.; Leela, S. 26 1976 Theory of causal differential equations. Zbl 1219.34002Lakshmikantham, V.; Leela, S.; Drici, Zahia; McRae, F. A. 25 2009 Further improvement of generalized quasilinearization method. Zbl 0855.34012Lakshmikantham, V. 25 1996 Viability theory and fuzzy differential equations. Zbl 1074.34009Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 24 2005 Improved generalized quasilinearization (GQL) method. Zbl 0830.65068Lakshmikantham, V.; Leela, S.; McRae, Farzana A. 24 1995 Nonlinear variation of parameters formula for set differential equations in a metric space. Zbl 1153.34313Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 23 2005 An extension of the method of quasilinearization. Zbl 0806.34013Lakshmikantham, V. 23 1994 Monotone flows and rapid convergence for nonlinear partial differential equations. Zbl 1017.35001Lakshmikantham, V.; Köksal, S. 22 2003 Methods of generalized quasilinearization for periodic boundary value problems. Zbl 0855.34011Lakshmikantham, V.; Shahzad, N.; Nieto, Juan J. 22 1996 Global existence and asymptotic equilibrium in Banach spaces. Zbl 0273.34040Ladas, G.; Lakshmikantham, V. 22 1972 Positive solutions of nonlinear integral equations arising in infectious diseases. Zbl 0658.45012Guo, Dajun; Lakshmikantham, V. 21 1988 Monotone iterative technique for functional differential equations with retardation and anticipation. Zbl 1121.34065Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 20 2007 Impulsive hybrid systems and stability theory. Zbl 0901.34018Lakshmikantham, V.; Liu, X. 20 1998 The method of upper, lower solutions and hyperbolic partial differential equations. Zbl 0569.35056Lakshmikantham, V.; Pandit, S. G. 20 1985 Existence of solutions of boundary value problems for nonlinear second order systems in a Banach space. Zbl 0385.34035Chandra, Jahdish; Lakshmikantham, V.; Mitchell, A. R. 20 1978 Fractional differential equations with a Krasnoselskii-Krein type condition. Zbl 1181.34008Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S. 19 2009 Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach. Zbl 1010.34011Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 19 2002 Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems. Zbl 0977.34017Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 19 2000 Stability of motion: the comparison method. Stability: theory, methods and applications. Zbl 0852.34057Lakshmikantham, V.; Leela, S.; Martynyuk, A. A. 19 1991 Comparison principle and nonlinear contractions in abstract spaces. Zbl 0296.47037Eisenfeld, J.; Lakshmikantham, V. 19 1975 Differential equations in metric spaces: An introduction and an application to fuzzy differential equations. Zbl 1057.34061Lakshmikantham, V.; Nieto, Juan J. 18 2003 Two-point boundary value problems associated with nonlinear fuzzy differential equations. Zbl 1022.34051Lakshmikantham, V.; Murty, K. N.; Turner, J. 18 2001 Extensions of the method of quasilinearization. Zbl 0837.65068Lakshmikantham, V.; Leela, S.; Sivasundaram, S. 18 1995 Generalized quasilinearization for nonlinear first order ordinary differential equations. Zbl 0855.34013Lakshmikantham, V.; Nieto, J. J. 18 1995 Further generalization of generalized quasilinearization method. Zbl 0817.34005Lakshmikantham, V.; Shahzad, N. 18 1994 Generalized quasilinearization. Zbl 0799.34012Lakshmikantham, V.; Malek, S. 18 1994 Periodic boundary value problems for integro-differential equations of Volterra type. Zbl 0622.45007Hu, Shouchuan; Lakshmikantham, V. 18 1986 Existence and uniqueness of solutions of delay differential equations on a closed subset of a Banach space. Zbl 0384.34040Lakshmikantham, V.; Leela, S.; Moauro, V. 18 1978 Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions. Zbl 1010.65041Carl, S.; Lakshmikantham, V. 17 2002 A damped oscillator with piecewise constant time delay. Zbl 1016.34069Wiener, Joseph; Lakshmikantham, V. 17 2000 Impulsive differential systems and the pulse phenomena. Zbl 0684.34003Hu, Shouchuan; Lakshmikantham, V.; Leela, S. 17 1989 A monotone method for infinite systems of nonlinear boundary value problems. Zbl 0397.35023Chandra, Jagdish; Lakshmikantham, V.; Leela, S. 17 1978 An upper and lower solution theory for singular Emden-Fowler equations. Zbl 1011.34013Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 16 2002 Stability analysis of nonlinear systems. 2nd edition. Zbl 1405.93006Lakshmikantham, Vangipuram; Leela, Srinivasa; Martynyuk, Anatoly A. 7 2015 On the concept of solution for fractional differential equations with uncertainty. Zbl 1188.34005Agarwal, Ravi P.; Lakshmikantham, V.; Nieto, Juan J. 199 2010 Basic results on hybrid differential equations. Zbl 1206.34020Dhage, Bapurao C.; Lakshmikantham, V. 36 2010 On global existence and attractivity results for nonlinear functional integral equations. Zbl 1197.45005Dhage, Bapurao C.; Lakshmikantham, V. 12 2010 Theory of fractional dynamic systems. Zbl 1188.37002Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 569 2009 Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54032Lakshmikantham, V.; Ćirić, Ljubomir 393 2009 Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54030Ćirić, Ljubomir; Lakshmikantham, V. 56 2009 Nagumo-type uniqueness result for fractional differential equations. Zbl 1177.34003Lakshmikantham, V.; Leela, S. 50 2009 A Krasnoselskii-Krein-type uniqueness result for fractional differential equations. Zbl 1177.34004Lakshmikantham, V.; Leela, S. 46 2009 Nonsmooth analysis and fractional differential equations. Zbl 1237.49022Vasundhara Devi, J.; Lakshmikantham, V. 29 2009 Theory of causal differential equations. Zbl 1219.34002Lakshmikantham, V.; Leela, S.; Drici, Zahia; McRae, F. A. 25 2009 Fractional differential equations with a Krasnoselskii-Krein type condition. Zbl 1181.34008Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S. 19 2009 Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045Lakshmikantham, V.; Carl, S.; Heikkilä, S. 7 2009 The hybrid grand unified theory. Zbl 1188.81003Lakshmikantham, V.; Escultura, E.; Leela, S. 1 2009 Revisiting the hybrid real number system. Zbl 1167.03311Escultura, E.; Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S. 1 2009 Basic theory of fractional differential equations. Zbl 1161.34001Lakshmikantham, V.; Vatsala, A. S. 421 2008 Theory of fractional functional differential equations. Zbl 1162.34344Lakshmikantham, V. 251 2008 General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031Lakshmikantham, V.; Vatsala, A. S. 154 2008 Theory of fractional differential equations in a Banach space. Zbl 1146.34042Lakshmikantham, V.; Vasundhara Devi, J. 68 2008 Lyapunov theory for fractional differential equations. Zbl 1191.34007Lakshmikantham, V.; Leela, S.; Sambandham, M. 28 2008 Set differential equations in Fréchet spaces. Zbl 1147.58007Galanis, George N.; Bhaskar, Tenali Gnana; Lakshmikantham, Vangipuram 6 2008 Stability theory for multi-order fractional differential equations. Zbl 1185.34007Lakshmikantham, V.; Leela, S. 1 2008 Theory of fractional differential inequalities and applications. Zbl 1159.34006Lakshmikantham, V.; Vatsala, A. S. 104 2007 Monotone iterative technique for functional differential equations with retardation and anticipation. Zbl 1121.34065Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 20 2007 An existence theorem for set differential inclusions in a semilinear metric space. Zbl 1166.49019de Blasi, F.; Lakshmikantham, V.; Bhaskar, T. Gnana 14 2007 Perspectives of fuzzy initial value problems. Zbl 1152.34041Bede, Barnabás; Bhaskar, T. Gnana; Lakshmikantham, V. 13 2007 Functional differential systems with retardation and anticipation. Zbl 1138.34029Bhaskar, T. Gnana; Lakshmikantham, V. 6 2007 The hybrid real number system. Zbl 1122.03312Lakshmikantham, V.; Kovach, Danny 5 2007 The hybrid set theory. Zbl 1122.03309Bhaskar, T. Gnana; Kovach, Danny; Lakshmikantham, V. 4 2007 Functional differential equations with anticipation. Zbl 1151.34325Lakshmikantham, V.; Vasundhara Devi, J. 2 2007 Hybrid physics of the mind. Zbl 1197.00020Lakshmikantham, V. 2 2007 Fixed point theorems in partially ordered metric spaces and applications. Zbl 1106.47047Bhaskar, T. Gnana; Lakshmikantham, V. 565 2006 Theory of set differential equations in metric spaces. Zbl 1156.34003Lakshmikantham, V.; Gnana Bhaskar, T.; Vasundhara Devi, J. 110 2006 Hybrid systems with time scales and impulses. Zbl 1109.34003Lakshmikantham, V.; Vasundhara Devi, J. 10 2006 On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order. Zbl 1106.35036Kiguradze, Tariel; Lakshmikantham, V. 7 2006 Ancient and medieval astronomers and mathematicians of India. Zbl 1208.01001Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 1 2006 Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations. Zbl 1190.49025Galanis, G. N.; Bhaskar, T. Gnana; Lakshmikantham, V.; Palamides, P. K. 30 2005 Viability theory and fuzzy differential equations. Zbl 1074.34009Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 24 2005 Nonlinear variation of parameters formula for set differential equations in a metric space. Zbl 1153.34313Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 23 2005 Computational error and complexity in science and engineering. Zbl 1076.65045Lakshmikantham, Vangipuram; Sen, Syamal K. 13 2005 Generalized quasilinearization versus Newton method. Zbl 1078.65037Lakshmikantham, V.; Vatsala, A. S. 11 2005 The origin and history of mathematics. Zbl 1141.01003Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 5 2005 Maximal solutions and existence theory for fuzzy differential and integral equations. Zbl 1106.47067Agarwal, R. P.; O’Regan, D.; Lakshmikantham, V. 3 2005 Nonresonant singular boundary value problems with sign changing nonlinearities. Zbl 1086.34020Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 3 2005 Monotone approximations and rapid convergence. Zbl 1079.65066Lakshmikantham, V. 1 2005 A note on upper and lower solutions for first order inclusions of upper semicontinuous or lower semicontinuous type. Zbl 1084.34010Agarwal, R. P.; Frigon, M.; Lakshmikantham, V.; O’Regan, D. 1 2005 Revisiting fuzzy differential equations. Zbl 1095.34511Bhaskar, T. Gnana; Lakshmikantham, V.; Devi, Vasundhara 41 2004 Stability theory for set differential equations. Zbl 1068.34047Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 15 2004 Lyapunov stability for set differential equations. Zbl 1078.34032Gnana Bhaskar, T.; Lakshmikantham, V. 8 2004 A generalized upper and lower solution method for singular initial value problems. Zbl 1098.34004Agarwal, R. P.; O’Regan, D.; Lakshmikantham, V.; Leela, S. 4 2004 Error in error-free computation for linear system. Zbl 1165.65328Lakshmikantham, V.; Sen, S. K.; Mohanty, A. 3 2004 Fuzzy Volterra integral equations: a stacking theorem approach. Zbl 1069.45001Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 3 2004 Lyapunov functions in metric spaces. Zbl 1089.34539Lakshmikantham, V.; Vasundhara Devi, J. 1 2004 Formulas of Bendixson and Alekseev for difference equations. Zbl 1043.39007Bohner, M.; Lakshmikantham, V. 1 2004 Theory of fuzzy differential equations and inclusions. Zbl 1072.34001Lakshmikantham, V.; Mohapatra, Ram N. 148 2003 Existence and interrelation between set and fuzzy differential equations. Zbl 1035.34064Lakshmikantham, V.; Tolstonogov, A. A. 43 2003 Initial and boundary value problems for fuzzy differential equations. Zbl 1048.34015O’Regan, Donal; Lakshmikantham, V.; Nieto, Juan J. 40 2003 Set differential equations and flow invariance. Zbl 1047.34010Bhaskar, T. Gnana; Lakshmikantham, V. 27 2003 A stacking theorem approach for fuzzy differential equations. Zbl 1042.34027Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 26 2003 Monotone flows and rapid convergence for nonlinear partial differential equations. Zbl 1017.35001Lakshmikantham, V.; Köksal, S. 22 2003 Differential equations in metric spaces: An introduction and an application to fuzzy differential equations. Zbl 1057.34061Lakshmikantham, V.; Nieto, Juan J. 18 2003 Set differential equations and monotone flows. Zbl 1090.34064Lakshmikantham, V.; Vatsala, A. S. 10 2003 Discrete second order inclusions. Zbl 1047.39013Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 7 2003 An upper and lower solution approach for nonlinear singular boundary value problems with \(y\prime\) dependence. Zbl 1046.34033Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 7 2003 Existence criteria for singular boundary value problems modelling the membrane response of a spherical cap. Zbl 1028.34016Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 5 2003 Unified approach to monotone iterative technique for semilinear parabolic problems. Zbl 1024.35048Köksal, S.; Lakshmikantham, V. 4 2003 Generalized proximal normals and flow invariance for differential inclusions. Zbl 1035.34009Gnana Bhaskar, T.; Lakshmikantham, V. 3 2003 Generalized quasilinearization method for semilinear hyperbolic problems. Zbl 1026.35082Gnana Bhaskar, T.; Köksal, S.; Lakshmikantham, V. 1 2003 Theory of difference equations: numerical methods and applications. 2nd ed. Zbl 1014.39001Lakshmikantham, V.; Trigiante, Donato 50 2002 Hybrid systems on time scales. Zbl 1032.34050Lakshmikantham, V.; Vatsala, A. S. 30 2002 Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach. Zbl 1010.34011Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 19 2002 Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions. Zbl 1010.65041Carl, S.; Lakshmikantham, V. 17 2002 An upper and lower solution theory for singular Emden-Fowler equations. Zbl 1011.34013Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 16 2002 Basic theory of fuzzy difference equations. Zbl 1023.39008Lakshmikantham, V.; Vatsala, A. S. 12 2002 On the Dirichlet problem for fourth-order linear hyperbolic equations. Zbl 1004.35082Kiguradze, T.; Lakshmikantham, V. 7 2002 Generalized quasilinearization and semilinear parabolic problems. Zbl 1011.35079Carl, S.; Lakshmikantham, V. 5 2002 On doubly periodic solutions of fourth-order linear hyperbolic equations. Zbl 1004.35080Kiguradze, T.; Lakshmikantham, V. 4 2002 Nonuniform nonresonance at the first eigenvalue for singular boundary value problems with sign changing nonlinearities. Zbl 1021.34016Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V. 3 2002 A unified monotone iterative technique for semilinear elliptic boundary value problems. Zbl 1140.35419Köksal, S.; Lakshmikantham, V. 3 2002 On the Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations. Zbl 1004.35083Kiguradze, T.; Lakshmikantham, V. 3 2002 A new concept unifying Lyapunov and orbital stabilities. Zbl 1085.34532Lakshmikantham, V.; Leela, S. 2 2002 A unified monotone iterative technique for nonlinear elliptic problems via nonvariational method. Zbl 1009.35036Köksal, Semen; Lakshmikantham, V. 1 2002 Two-point boundary value problems associated with nonlinear fuzzy differential equations. Zbl 1022.34051Lakshmikantham, V.; Murty, K. N.; Turner, J. 18 2001 Strict stability of differential equations. Zbl 1008.34041Lakshmikantham, V.; Mohapatra, R. N. 10 2001 Strict practical stability of delay differential equation. Zbl 1035.34082Lakshmikantham, V.; Zhang, Y. 7 2001 Strict practical stability of delay differential equation. Zbl 1037.34070Lakshmikantham, V.; Zhang, Y. 6 2001 Fuzzy differential systems and the new concept of stability. Zbl 1007.34055Lakshmikantham, V.; Leela, S. 6 2001 Basic properties of solutions of fuzzy differential equations. Zbl 0997.34051Lakshmikantham, V.; Mohapatra, R. N. 6 2001 Basic results for fuzzy impulsive differential equations. Zbl 0993.34008Lakshmikantham, V.; McRae, Farzana A. 6 2001 Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type. Zbl 0986.34014Agarwal, R. P.; O’Regan, D.; Lakshmikantham, V. 4 2001 Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type. Zbl 0984.35087Carl, S.; Lakshmikantham, V. 4 2001 Generalized quasilinearization and semilinear degenerate elliptic problems. Zbl 1172.35406Lakshmikantham, V.; Leela, S. 3 2001 Existence criteria for singular initial value problems with sign changing nonlinearities. Zbl 1023.34001Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 2 2001 Generalized quasilinearization and quasilinear elliptic problems. Zbl 1075.35523Lakshmikantham, V.; Leela, S. 2 2001 Handbook of stochastic analysis and applications. Zbl 0979.00017Kannan, D. (ed.); Lakshmikantham, V. (ed.) 2 2001 An overview of integro-differential equations and variational Lyapunov method. Zbl 0983.45004Stephens, Sonya A. F.; Lakshmikantham, V. 1 2001 Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems. Zbl 0977.34017Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 19 2000 A damped oscillator with piecewise constant time delay. Zbl 1016.34069Wiener, Joseph; Lakshmikantham, V. 17 2000 Differential equations with piecewise constant argument and impulsive equations. Zbl 0997.34076Wiener, Joseph; Lakshmikantham, V. 12 2000 Uncertain systems and fuzzy differential equations. Zbl 0966.34055Lakshmikantham, V. 6 2000 ...and 290 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,106 Authors 224 Agarwal, Ravi P. 189 Lakshmikantham, Vangipuram 164 O’Regan, Donal 138 Nieto Roig, Juan Jose 120 Chen, Lansun 116 Liu, Lishan 94 Benchohra, Mouffak 92 Wu, Yonghong 86 Ntouyas, Sotiris K. 80 Liu, Xinzhi 79 Ge, Weigao 78 Ahmad, Bashir 73 Wang, Jinrong 72 Henderson, Johnny Lee 69 Shen, Jianhua 59 Bainov, Drumi Dimitrov 59 Băleanu, Dumitru I. 59 Cabada, Alberto 59 Heikkilä, Seppo V. 59 Sun, Ji Tao 55 Li, Yongxiang 55 Zhou, Yong 54 Ladde, Gangaram S. 52 Jankowski, Tadeusz 52 Karapınar, Erdal 49 Leela, Srinivasa G. 49 Vatsala, Aghalaya S. 45 Feng, Meiqiang 43 Jiao, Jianjun 43 Martynyuk, Anatoliĭ Andriĭovych 40 Graef, John R. 40 Wang, Guotao 39 Al-saedi, Ahmed Eid Salem 39 Samet, Bessem 39 Stamova, Ivanka Milkova 39 Tariboon, Jessada 38 Cui, Yujun 38 Li, Wan-Tong 38 Wang, Peiguang 37 Khristova, Snezhana G. 36 Wei, Zhongli 36 Yan, Jurang 35 Kumam, Poom 35 Zhang, Xuemei 34 Džurina, Jozef 34 Ouahab, Abdelghani 34 Wong, Patricia J. Y. 33 Guo, Dajun 33 Khan, Rahmat Ali 33 Meng, Xinzhu 33 Song, Xinyu 33 Zhang, Xinguang 32 Balachandran, Krishnan 32 Li, Xiaodi 32 Rodríguez-López, Rosana 32 Sun, Jianping 31 Akhmet, Marat Ubaydulla 31 Chen, Haibo 31 Gumel, Abba B. 31 Jiang, Daqing 31 Zhai, Chengbo 30 Abbas, Said 30 Choudhury, Binayak Samadder 30 Luca, Rodica 30 Teng, Zhi-dong 30 Xu, Daoyi 30 Xu, Jiafa 29 Aydi, Hassen 29 Luo, Zhiguo 29 Sivasundaram, Seenith 29 Zhang, Lihong 28 Carl, Siegfried 28 Radenovic, Stojan 28 Slyn’ko, Vitalii Ivanovich 28 Su, Hua 27 Erbe, Lynn Harry 27 He, Zhimin 27 Liu, Yuji 26 Cao, Jinde 26 Li, Yongkun 26 Mao, Xuerong 26 Pandey, Dwijendra Narain 26 Shah, Kamal 26 Shatanawi, Wasfi A. 26 Sun, Jingxian 25 Cai, Shaohong 25 Liu, Zhenhai 25 Philos, Christos G. 25 Sintunavarat, Wutiphol 25 Stamov, Gani Trendafilov 25 Zhang, Binggen 24 Baculíková, Blanka 24 Dai, Binxiang 24 Liang, Jin 24 Papageorgiou, Nikolaos S. 24 Sadarangani, Kishin B. 24 Wang, Weibing 24 Yan, Baoqiang 24 Zhang, Xingqiu 22 Ezzinbi, Khalil ...and 7,006 more Authors all top 5 Cited in 497 Serials 690 Journal of Mathematical Analysis and Applications 662 Nonlinear Analysis. 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Serie II 18 Acta Mathematica Hungarica 17 Bulletin of Mathematical Biology 17 Applied Numerical Mathematics 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Journal of Theoretical Biology 17 Mathematical Sciences 16 Demonstratio Mathematica 16 International Journal of Mathematics and Mathematical Sciences 16 International Journal of Computer Mathematics 16 Journal of the Egyptian Mathematical Society 16 Vietnam Journal of Mathematics 16 Nonlinear Oscillations 16 Journal of Applied Analysis and Computation 15 Asian-European Journal of Mathematics 14 Mathematical Notes 14 Automation and Remote Control 14 Linear Algebra and its Applications 14 Georgian Mathematical Journal 14 Journal of Dynamical and Control Systems 14 The ANZIAM Journal ...and 397 more Serials all top 5 Cited in 55 Fields 6,006 Ordinary differential equations (34-XX) 2,040 Operator theory (47-XX) 954 Biology and other natural sciences (92-XX) 936 Partial differential equations (35-XX) 851 Systems theory; control (93-XX) 761 Integral equations (45-XX) 659 Difference and functional equations (39-XX) 594 General topology (54-XX) 559 Real functions (26-XX) 529 Numerical analysis (65-XX) 364 Dynamical systems and ergodic theory (37-XX) 319 Probability theory and stochastic processes (60-XX) 211 Calculus of variations and optimal control; optimization (49-XX) 123 Functional analysis (46-XX) 103 Global analysis, analysis on manifolds (58-XX) 80 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 53 Mechanics of particles and systems (70-XX) 52 Mechanics of deformable solids (74-XX) 47 Fluid mechanics (76-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 45 Operations research, mathematical programming (90-XX) 43 Computer science (68-XX) 36 Approximations and expansions (41-XX) 33 Measure and integration (28-XX) 32 Special functions (33-XX) 26 Statistical mechanics, structure of matter (82-XX) 23 Mathematical logic and foundations (03-XX) 22 Combinatorics (05-XX) 15 Order, lattices, ordered algebraic structures (06-XX) 15 Integral transforms, operational calculus (44-XX) 14 Functions of a complex variable (30-XX) 14 Quantum theory (81-XX) 14 Information and communication theory, circuits (94-XX) 11 General and overarching topics; collections (00-XX) 11 History and biography (01-XX) 10 Abstract harmonic analysis (43-XX) 10 Statistics (62-XX) 9 Number theory (11-XX) 9 Sequences, series, summability (40-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Convex and discrete geometry (52-XX) 9 Algebraic topology (55-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Optics, electromagnetic theory (78-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 3 Topological groups, Lie groups (22-XX) 3 Potential theory (31-XX) 2 Geometry (51-XX) 2 Geophysics (86-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year