Edit Profile (opens in new tab) Lakshmikantham, Vangipuram (b. 1924 d. 2012) Co-Author Distance Author ID: lakshmikantham.vangipuram Published as: Lakshmikantham, V.; Lakshmikantham, Vangipuram External Links: MGP · GND Documents Indexed: 449 Publications since 1959, including 36 Books 12 Contributions as Editor Reviewing Activity: 253 Reviews Biographic References: 10 Publications Co-Authors: 111 Co-Authors with 387 Joint Publications 3,767 Co-Co-Authors 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 Murty, Kanuri Narasimha 3 Oguztöreli, Mehmet Namik 3 Reddy, Y. M. 3 Tsokos, Christos P. 3 Zhang, Yi 2 Appell, Jürgen 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 Mitchell, Roger W. 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 Dzhalalov, E. E. 1 Frigon, Marlène 1 Gupta, Chaitan P. 1 Jankowski, Tadeusz 1 Kamala, P. S. 1 Kannan, Balakrishnan 1 Khristova, Snezhana G. 1 Kishore, M. P. K. 1 Kumpulainen, Martti 1 Ledyaev, Yuri Semenovich 1 Lord, M. E. 1 Matrosov, Vladimir Mefod’evich 1 Maulloo, A. K. 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Onuchic, Nelson 1 Palamides, Panos K. 1 Papadakis, John S. 1 Ramful, A. 1 Rao, A. N. V. 1 Rao, M. Rammohan 1 Rao, Vadrevu Sree Hari 1 Salvadori, Luigi 1 Samimi, Mansour 1 Sety, D. D. ...and 11 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 and its Applications (Dordrecht) 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 2 Boletim da Sociedade de Matemática de São Paulo 1 Avtomatika i Telemekhanika 1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 1 Analele Universității din Timișoara. Științe 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 Tôhoku 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 Științifice ale Universității Al. I. Cuza din Iași. 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 Iași, New Series 1 North-Holland Mathematics Studies 1 Notes and Reports in Mathematics in Science and Engineering 1 Series in Real Analysis 1 Statistics: Textbooks and Monographs 1 Systems & Control: Foundations & Applications 1 Stability and Control: Theory, Methods, and Applications 1 European Journal of Pure and Applied Mathematics 1 Anais da Academia Brasileira de Ciências 1 Monographs, Advanced Texts and Surveys in Pure and Applied Mathematics all top 5 Fields 302 Ordinary differential equations (34-XX) 54 Partial differential equations (35-XX) 45 Operator theory (47-XX) 34 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 393 Publications have been cited 15,854 times in 10,668 Documents Cited by ▼ Year ▼ Theory of impulsive differential equations. Zbl 0719.34002Lakshmikantham, V.; Bajnov, D. D.; Simeonov, P. S. 1,968 1989 Nonlinear problems in abstract cones. Zbl 0661.47045Guo, Dajun; Lakshmikantham, V. 1,575 1988 Differential and integral inequalities. Theory and applications. Vol. I: Ordinary differential equations. Zbl 0177.12403Lakshmikantham, V.; Leela, S. 854 1969 Theory of fractional dynamic systems. Zbl 1188.37002Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 754 2009 Fixed point theorems in partially ordered metric spaces and applications. Zbl 1106.47047Bhaskar, T. Gnana; Lakshmikantham, V. 679 2006 Basic theory of fractional differential equations. Zbl 1161.34001Lakshmikantham, V.; Vatsala, A. S. 525 2008 Monotone iterative techniques for nonlinear differential equations. Zbl 0658.35003Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S. 485 1985 Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54032Lakshmikantham, V.; Ćirić, Ljubomir 449 2009 Stability analysis of nonlinear systems. Zbl 0676.34003Lakshmikantham, V.; Leela, S.; Martynyuk, A. A. 302 1989 Dynamic systems on measure chains. Zbl 0869.34039Lakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B. 295 1996 Theory of fractional functional differential equations. Zbl 1162.34344Lakshmikantham, V. 294 2008 Coupled fixed points of nonlinear operators with applications. Zbl 0635.47045Guo, Dajun; Lakshmikantham, V. 284 1987 On the concept of solution for fractional differential equations with uncertainty. Zbl 1188.34005Agarwal, Ravi P.; Lakshmikantham, V.; Nieto, Juan J. 257 2010 Monotone iterative techniques for discontinuous nonlinear differential equations. Zbl 0804.34001Heikkilä, Seppo; Lakshmikantham, V. 235 1994 Nonlinear differential equations in abstract spaces. Zbl 0456.34002Lakshmikantham, V.; Leela, S. 232 1981 Theory of difference equations: Numerical methods and applications. Zbl 0683.39001Lakshmikantham, V.; Trigiante, D. 231 1988 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. 225 1991 An introduction to nonlinear boundary value problems. Zbl 0286.34018Bernfeld, Stephen R.; Lakshmikantham, V. 217 1974 Oscillation theory of differential equations with deviating arguments. Zbl 0832.34071Ladde, G. S.; Lakshmikantham, V.; Zhang, B. G. 209 1987 Nonlinear integral equations in abstract spaces. Zbl 0866.45004Guo, Dajun; Lakshmikantham, V.; Liu, Xinzhi 198 1996 Theory of fuzzy differential equations and inclusions. Zbl 1072.34001Lakshmikantham, V.; Mohapatra, Ram N. 174 2003 Oscillation theory of differential equations with deviating arguments. Zbl 0622.34071Ladde, G. S.; Lakshmikantham, V.; Zhang, B. G. 173 1987 General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031Lakshmikantham, V.; Vatsala, A. S. 170 2008 Theory of set differential equations in metric spaces. Zbl 1156.34003Lakshmikantham, V.; Gnana Bhaskar, T.; Vasundhara Devi, J. 128 2006 Generalized quasilinearization for nonlinear problems. Zbl 0997.34501Lakshmikantham, V.; Vatsala, A. S. 127 1998 Theory of fractional differential inequalities and applications. Zbl 1159.34006Lakshmikantham, V.; Vatsala, A. S. 123 2007 Random differential inequalities. Zbl 0466.60002Ladde, G. S.; Lakshmikantham, V. 122 1980 Theory of integro-differential equations. Zbl 0849.45004Lakshmikantham, V.; Rao, M. Rama Mohana 110 1995 Vector Lyapunov functions and stability analysis of nonlinear systems. Zbl 0721.34054Lakshmikantham, V.; Matrosov, V. M.; Sivasundaram, S. 109 1991 Differential equation s in abstract spaces. Zbl 0257.34002Ladas, G. E.; Lakshmikantham, V. 106 1972 Uniqueness and nonuniqueness criteria for ordinary differential equations. Zbl 0785.34003Agarwal, R. P.; Lakshmikantham, V. 103 1993 Practical stability of nonlinear systems. Zbl 0753.34037Lakshmikantham, V.; Leela, S.; Martynyuk, A. A. 101 1990 Basic results on hybrid differential equations. Zbl 1206.34020Dhage, Bapurao C.; Lakshmikantham, V. 84 2010 Equations with unbounded delay: A survey. Zbl 0449.34048Corduneanu, C.; Lakshmikantham, V. 83 1980 Stability analysis in terms of two measures. Zbl 0797.34056Lakshmikantham, V.; Liu, X. Z. 79 1993 Theory of fractional differential equations in a Banach space. Zbl 1146.34042Lakshmikantham, V.; Vasundhara Devi, J. 72 2008 Oscillations of higher-order retarded differential equations generated by the retarded argument. Zbl 0273.34052Ladas, G.; Lakshmikantham, V.; Papadakis, J. S. 71 1972 Trends in the theory of impulsive differential equations. Zbl 0718.34011Lakshmikantham, V. 69 1989 Existence and monotone method for periodic solutions of first-order differential equations. Zbl 0525.34031Lakshmikantham, V.; Leela, S. 66 1983 Theory of difference equations: numerical methods and applications. 2nd ed. Zbl 1014.39001Lakshmikantham, V.; Trigiante, Donato 59 2002 Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54030Ćirić, Ljubomir; Lakshmikantham, V. 58 2009 Nagumo-type uniqueness result for fractional differential equations. Zbl 1177.34003Lakshmikantham, V.; Leela, S. 58 2009 Theory of differential equations with unbounded delay. Zbl 0823.34069Lakshmikantham, V.; Wen, Lizhi; Zhang, Binggen 55 1994 Monotone iterative technique for differential equations in a Banach space. Zbl 0523.34057Du, S. W.; Lakshmikantham, V. 51 1982 A Krasnoselskii-Krein-type uniqueness result for fractional differential equations. Zbl 1177.34004Lakshmikantham, V.; Leela, S. 49 2009 Remarks on first and second order periodic boundary value problems. Zbl 0532.34029Lakshmikantham, V.; Leela, S. 45 1984 Initial and boundary value problems for fuzzy differential equations. Zbl 1048.34015O’Regan, Donal; Lakshmikantham, V.; Nieto, Juan J. 44 2003 Existence and interrelation between set and fuzzy differential equations. Zbl 1035.34064Lakshmikantham, V.; Tolstonogov, A. A. 44 2003 Revisiting fuzzy differential equations. Zbl 1095.34511Bhaskar, T. Gnana; Lakshmikantham, V.; Devi, Vasundhara 43 2004 Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces. Zbl 0645.34014Guo, Dajun; Lakshmikantham, V. 41 1988 Stability criteria for impulsive differential equations in terms of two measures. Zbl 0688.34031Lakshmikantham, V.; Liu, Xinzhi 39 1989 Periodic boundary value problems of first and second order differential equations. Zbl 0712.34058Lakshmikantham, V. 39 1989 Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times. Zbl 0807.34064Kaul, S.; Lakshmikantham, V.; Leela, S. 38 1994 On the existence of weak solutions of differential equations in nonreflexive Banach spaces. Zbl 0379.34041Cramer, Evin; Lakshmikantham, V.; Mitchell, A. R. 36 1978 On quasi stability for impulse differential systems. Zbl 0688.34032Lakshmikantham, V.; Liu, Xinzhi 35 1989 Lyapunov theory for fractional differential equations. Zbl 1191.34007Lakshmikantham, V.; Leela, S.; Sambandham, M. 34 2008 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. 32 2005 Periodic boundary value problems for second order impulsive differential systems. Zbl 0712.34033Hu, Shouchuan; Lakshmikantham, V. 32 1989 Method of variation of parameters for dynamic systems. Zbl 0920.34001Lakshmikantham, V.; Deo, S. G. 32 1998 Hybrid systems on time scales. Zbl 1032.34050Lakshmikantham, V.; Vatsala, A. S. 32 2002 Periodic boundary value problems for systems of first order impulsive differential equations. Zbl 0732.34040Bajnov, D. D.; Khristova, S. G.; Hu, Shouchuan; Lakshmikantham, V. 31 1989 Comparison principle for impulsive differential equations with variable times and stability theory. Zbl 0797.34058Lakshmikantham, V.; Leela, S.; Kaul, S. 30 1994 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. 30 2009 Set differential equations and flow invariance. Zbl 1047.34010Bhaskar, T. Gnana; Lakshmikantham, V. 29 2003 An extension of the method of quasilinearization. Zbl 0806.34013Lakshmikantham, V. 28 1994 Fixed point theorems of operators with PPF dependence in Banach spaces. Zbl 0375.47027Bernfeld, Stephen R.; Lakshmikantham, V.; Reddy, Y. M. 28 1977 Theory of causal differential equations. Zbl 1219.34002Lakshmikantham, V.; Leela, S.; Drici, Zahia; McRae, F. A. 28 2009 Nonlinear variation of parameters formula for set differential equations in a metric space. Zbl 1153.34313Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 28 2005 A stacking theorem approach for fuzzy differential equations. Zbl 1042.34027Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 28 2003 On perturbing Lyapunov functions. Zbl 0354.34050Lakshmikantham, V.; Leela, S. 27 1976 Further improvement of generalized quasilinearization method. Zbl 0855.34012Lakshmikantham, V. 27 1996 Viability theory and fuzzy differential equations. Zbl 1074.34009Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 27 2005 Improved generalized quasilinearization (GQL) method. Zbl 0830.65068Lakshmikantham, V.; Leela, S.; McRae, Farzana A. 24 1995 Fractional differential equations with a Krasnoselskii-Krein type condition. Zbl 1181.34008Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S. 24 2009 Monotone iterative technique for functional differential equations with retardation and anticipation. Zbl 1121.34065Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 24 2007 Stability of motion: the comparison method. Stability: theory, methods and applications. (Устойчивость движения: метод сравнения. Устойчивость: теория, методы и приложения.) Zbl 0852.34057Lakshmikantham, V.; Leela, S.; Martynyuk, A. A. 23 1991 Global existence and asymptotic equilibrium in Banach spaces. Zbl 0273.34040Ladas, G.; Lakshmikantham, V. 23 1972 Methods of generalized quasilinearization for periodic boundary value problems. Zbl 0855.34011Lakshmikantham, V.; Shahzad, N.; Nieto, Juan J. 23 1996 Positive solutions of nonlinear integral equations arising in infectious diseases. Zbl 0658.45012Guo, Dajun; Lakshmikantham, V. 22 1988 Monotone flows and rapid convergence for nonlinear partial differential equations. Zbl 1017.35001Lakshmikantham, V.; Köksal, S. 22 2003 Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems. Zbl 0977.34017Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 22 2000 Impulsive hybrid systems and stability theory. Zbl 0901.34018Lakshmikantham, V.; Liu, X. 22 1998 Comparison principle and nonlinear contractions in abstract spaces. Zbl 0296.47037Eisenfeld, J.; Lakshmikantham, V. 21 1975 The method of upper, lower solutions and hyperbolic partial differential equations. Zbl 0569.35056Lakshmikantham, V.; Pandit, S. G. 21 1985 Differential equations in metric spaces: An introduction and an application to fuzzy differential equations. Zbl 1057.34061Lakshmikantham, V.; Nieto, Juan J. 21 2003 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 Generalized quasilinearization. Zbl 0799.34012Lakshmikantham, V.; Malek, S. 19 1994 Extensions of the method of quasilinearization. Zbl 0837.65068Lakshmikantham, V.; Leela, S.; Sivasundaram, S. 19 1995 Impulsive differential systems and the pulse phenomena. Zbl 0684.34003Hu, Shouchuan; Lakshmikantham, V.; Leela, S. 19 1989 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. 19 2002 Two-point boundary value problems associated with nonlinear fuzzy differential equations. Zbl 1022.34051Lakshmikantham, V.; Murty, K. N.; Turner, J. 19 2001 Further generalization of generalized quasilinearization method. Zbl 0817.34005Lakshmikantham, V.; Shahzad, N. 18 1994 Generalized quasilinearization for nonlinear first order ordinary differential equations. Zbl 0855.34013Lakshmikantham, V.; Nieto, J. J. 18 1995 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 A damped oscillator with piecewise constant time delay. Zbl 1016.34069Wiener, Joseph; Lakshmikantham, V. 18 2000 Stability theory for set differential equations. Zbl 1068.34047Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 18 2004 Differential inequalities with initial time difference and applications. Zbl 0933.34007Lakshmikantham, V.; Vatsala, A. S. 18 1999 An upper and lower solution theory for singular Emden-Fowler equations. Zbl 1011.34013Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 17 2002 Stability analysis of nonlinear systems. 2nd edition. Zbl 1405.93006Lakshmikantham, Vangipuram; Leela, Srinivasa; Martynyuk, Anatoly A. 15 2015 On the concept of solution for fractional differential equations with uncertainty. Zbl 1188.34005Agarwal, Ravi P.; Lakshmikantham, V.; Nieto, Juan J. 257 2010 Basic results on hybrid differential equations. Zbl 1206.34020Dhage, Bapurao C.; Lakshmikantham, V. 84 2010 On global existence and attractivity results for nonlinear functional integral equations. Zbl 1197.45005Dhage, Bapurao C.; Lakshmikantham, V. 14 2010 Theory of fractional dynamic systems. Zbl 1188.37002Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 754 2009 Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54032Lakshmikantham, V.; Ćirić, Ljubomir 449 2009 Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54030Ćirić, Ljubomir; Lakshmikantham, V. 58 2009 Nagumo-type uniqueness result for fractional differential equations. Zbl 1177.34003Lakshmikantham, V.; Leela, S. 58 2009 A Krasnoselskii-Krein-type uniqueness result for fractional differential equations. Zbl 1177.34004Lakshmikantham, V.; Leela, S. 49 2009 Nonsmooth analysis and fractional differential equations. Zbl 1237.49022Vasundhara Devi, J.; Lakshmikantham, V. 30 2009 Theory of causal differential equations. Zbl 1219.34002Lakshmikantham, V.; Leela, S.; Drici, Zahia; McRae, F. A. 28 2009 Fractional differential equations with a Krasnoselskii-Krein type condition. Zbl 1181.34008Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S. 24 2009 Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045Lakshmikantham, V.; Carl, S.; Heikkilä, S. 8 2009 The hybrid grand unified theory. Zbl 1188.81003Lakshmikantham, V.; Escultura, E.; Leela, S. 2 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. 525 2008 Theory of fractional functional differential equations. Zbl 1162.34344Lakshmikantham, V. 294 2008 General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031Lakshmikantham, V.; Vatsala, A. S. 170 2008 Theory of fractional differential equations in a Banach space. Zbl 1146.34042Lakshmikantham, V.; Vasundhara Devi, J. 72 2008 Lyapunov theory for fractional differential equations. Zbl 1191.34007Lakshmikantham, V.; Leela, S.; Sambandham, M. 34 2008 Set differential equations in Fréchet spaces. Zbl 1147.58007Galanis, George N.; Bhaskar, Tenali Gnana; Lakshmikantham, Vangipuram 7 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. 123 2007 Monotone iterative technique for functional differential equations with retardation and anticipation. Zbl 1121.34065Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 24 2007 An existence theorem for set differential inclusions in a semilinear metric space. Zbl 1166.49019de Blasi, F.; Lakshmikantham, V.; Bhaskar, T. Gnana 15 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 Hybrid unified theory. Zbl 1127.81002Lakshmikantham, V. 1 2007 Fixed point theorems in partially ordered metric spaces and applications. Zbl 1106.47047Bhaskar, T. Gnana; Lakshmikantham, V. 679 2006 Theory of set differential equations in metric spaces. Zbl 1156.34003Lakshmikantham, V.; Gnana Bhaskar, T.; Vasundhara Devi, J. 128 2006 Hybrid systems with time scales and impulses. Zbl 1109.34003Lakshmikantham, V.; Vasundhara Devi, J. 12 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. 10 2006 Personage in science: Academician Yu. A. Mitropolskii. Zbl 1123.01306Lakshmikantham, V.; Martynyuk, A. A.; Dshalalow, J. H. 1 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. 32 2005 Nonlinear variation of parameters formula for set differential equations in a metric space. Zbl 1153.34313Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J. 28 2005 Viability theory and fuzzy differential equations. Zbl 1074.34009Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 27 2005 Computational error and complexity in science and engineering. Zbl 1076.65045Lakshmikantham, Vangipuram; Sen, Syamal K. 12 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. 5 2005 Nonresonant singular boundary value problems with sign changing nonlinearities. Zbl 1086.34020Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 3 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. 2 2005 Monotone approximations and rapid convergence. Zbl 1079.65066Lakshmikantham, V. 1 2005 Revisiting fuzzy differential equations. Zbl 1095.34511Bhaskar, T. Gnana; Lakshmikantham, V.; Devi, Vasundhara 43 2004 Stability theory for set differential equations. Zbl 1068.34047Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J. 18 2004 Lyapunov stability for set differential equations. Zbl 1078.34032Gnana Bhaskar, T.; Lakshmikantham, V. 11 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. 4 2004 Fuzzy Volterra integral equations: a stacking theorem approach. Zbl 1069.45001Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 4 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. 174 2003 Initial and boundary value problems for fuzzy differential equations. Zbl 1048.34015O’Regan, Donal; Lakshmikantham, V.; Nieto, Juan J. 44 2003 Existence and interrelation between set and fuzzy differential equations. Zbl 1035.34064Lakshmikantham, V.; Tolstonogov, A. A. 44 2003 Set differential equations and flow invariance. Zbl 1047.34010Bhaskar, T. Gnana; Lakshmikantham, V. 29 2003 A stacking theorem approach for fuzzy differential equations. Zbl 1042.34027Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 28 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. 21 2003 Set differential equations and monotone flows. Zbl 1090.34064Lakshmikantham, V.; Vatsala, A. S. 11 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. 8 2003 Discrete second order inclusions. Zbl 1047.39013Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V. 8 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 59 2002 Hybrid systems on time scales. Zbl 1032.34050Lakshmikantham, V.; Vatsala, A. S. 32 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. 19 2002 An upper and lower solution theory for singular Emden-Fowler equations. Zbl 1011.34013Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S. 17 2002 Basic theory of fuzzy difference equations. Zbl 1023.39008Lakshmikantham, V.; Vatsala, A. S. 15 2002 On the Dirichlet problem for fourth-order linear hyperbolic equations. Zbl 1004.35082Kiguradze, T.; Lakshmikantham, V. 9 2002 On the Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations. Zbl 1004.35083Kiguradze, 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 A unified monotone iterative technique for semilinear elliptic boundary value problems. Zbl 1140.35419Köksal, S.; Lakshmikantham, V. 3 2002 A new concept unifying Lyapunov and orbital stabilities. Zbl 1085.34532Lakshmikantham, V.; Leela, S. 3 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 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. 19 2001 Strict stability of differential equations. Zbl 1008.34041Lakshmikantham, V.; Mohapatra, R. N. 12 2001 Fuzzy differential systems and the new concept of stability. Zbl 1007.34055Lakshmikantham, V.; Leela, S. 8 2001 Strict practical stability of delay differential equation. Zbl 1035.34082Lakshmikantham, V.; Zhang, Y. 7 2001 Basic results for fuzzy impulsive differential equations. Zbl 0993.34008Lakshmikantham, V.; McRae, Farzana A. 7 2001 Basic properties of solutions of fuzzy differential equations. Zbl 0997.34051Lakshmikantham, V.; Mohapatra, R. N. 7 2001 Strict practical stability of delay differential equation. Zbl 1037.34070Lakshmikantham, V.; Zhang, Y. 6 2001 Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type. Zbl 0984.35087Carl, S.; Lakshmikantham, V. 4 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 Handbook of stochastic analysis and applications. Zbl 0979.00017 3 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 An overview of integro-differential equations and variational Lyapunov method. Zbl 0983.45004Stephens, Sonya A. F.; Lakshmikantham, V. 1 2001 Singular nonresonant Dirichlet boundary value problems and quadratic forms. Zbl 1054.34036Agarwal, Ravi P.; O’Regan, Donal; 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. 22 2000 ...and 293 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,167 Authors 241 Agarwal, Ravi P. 188 O’Regan, Donal 187 Lakshmikantham, Vangipuram 148 Nieto Roig, Juan Jose 116 Chen, Lansun 108 Liu, Lishan 106 Benchohra, Mouffak 105 Ntouyas, Sotiris K. 91 Ahmad, Bashir 90 Wu, Yonghong 84 Liu, Xinzhi 83 Wang, Jinrong 80 Ge, Weigao 77 Henderson, Johnny Lee 72 Băleanu, Dumitru I. 67 Shen, Jianhua 63 Cabada, Alberto 62 Li, Yongxiang 59 Bainov, Drumi Dimitrov 59 Heikkilä, Seppo V. 59 Sun, Ji Tao 56 Karapınar, Erdal 56 Shah, Kamal 54 Ladde, Gangaram S. 53 Zhou, Yong 51 Jankowski, Tadeusz 50 Feng, Meiqiang 50 Martynyuk, Anatoliĭ Andriĭovych 50 Vatsala, Aghalaya S. 49 Leela, Srinivasa G. 48 Al-saedi, Ahmed Eid Salem 48 Tariboon, Jessada 47 Jiao, Jianjun 45 Khristova, Snezhana G. 44 Stamova, Ivanka Milkova 43 Graef, John R. 43 Samet, Bessem 43 Wang, Guotao 42 Wang, Peiguang 41 Abdeljawad, Thabet 40 Džurina, Jozef 40 Li, Xiaodi 40 Ouahab, Abdelghani 39 Cui, Yujun 38 Zhang, Xuemei 37 Zhai, Chengbo 36 Jiang, Daqing 36 Kumam, Poom 36 Li, Wan-Tong 36 Rezapour, Shahram 36 Xu, Jiafa 36 Yan, Jurang 35 Aydi, Hassen Mohamed 35 Rodríguez-López, Rosana 34 Choudhury, Binayak Samadder 34 Khan, Rahmat Ali 34 Sun, Jianping 34 Wong, Patricia J. 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