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Lakshmikantham, Vangipuram

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Author ID: lakshmikantham.vangipuram Recent zbMATH articles by "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
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 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 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 Kannan, Devika
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
...and 12 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
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 Iași, New Series
1 North-Holland Mathematics Studies
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

Publications by Year

Citations contained in zbMATH Open

385 Publications have been cited 13,975 times in 9,297 Documents Cited by Year
Theory of impulsive differential equations. Zbl 0719.34002
Lakshmikantham, V.; Bajnov, D. D.; Simeonov, P. S.
1989
Nonlinear problems in abstract cones. Zbl 0661.47045
Guo, Dajun; Lakshmikantham, V.
1988
Differential and integral inequalities. Theory and applications. Vol. I: Ordinary differential equations. Zbl 0177.12403
Lakshmikantham, V.; Leela, S.
662
1969
Theory of fractional dynamic systems. Zbl 1188.37002
Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J.
603
2009
Fixed point theorems in partially ordered metric spaces and applications. Zbl 1106.47047
Bhaskar, T. Gnana; Lakshmikantham, V.
595
2006
Monotone iterative techniques for nonlinear differential equations. Zbl 0658.35003
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
454
1985
Basic theory of fractional differential equations. Zbl 1161.34001
Lakshmikantham, V.; Vatsala, A. S.
444
2008
Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54032
Lakshmikantham, V.; Ćirić, Ljubomir
406
2009
Dynamic systems on measure chains. Zbl 0869.34039
Lakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B.
272
1996
Theory of fractional functional differential equations. Zbl 1162.34344
Lakshmikantham, V.
265
2008
Coupled fixed points of nonlinear operators with applications. Zbl 0635.47045
Guo, Dajun; Lakshmikantham, V.
245
1987
Stability analysis of nonlinear systems. Zbl 0676.34003
Lakshmikantham, V.; Leela, S.; Martynyuk, A. A.
241
1989
Theory of difference equations: Numerical methods and applications. Zbl 0683.39001
Lakshmikantham, V.; Trigiante, D.
220
1988
On the concept of solution for fractional differential equations with uncertainty. Zbl 1188.34005
Agarwal, Ravi P.; Lakshmikantham, V.; Nieto, Juan J.
216
2010
Nonlinear differential equations in abstract spaces. Zbl 0456.34002
Lakshmikantham, V.; Leela, S.
212
1981
Monotone iterative techniques for discontinuous nonlinear differential equations. Zbl 0804.34001
Heikkilä, Seppo; Lakshmikantham, V.
208
1994
An introduction to nonlinear boundary value problems. Zbl 0286.34018
Bernfeld, Stephen R.; Lakshmikantham, V.
206
1974
Oscillation theory of differential equations with deviating arguments. Zbl 0832.34071
Ladde, G. S.; Lakshmikantham, V.; Zhang, B. G.
202
1987
Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space. Zbl 0694.34001
Byszewski, Ludwik; Lakshmikantham, V.
195
1991
Nonlinear integral equations in abstract spaces. Zbl 0866.45004
Guo, Dajun; Lakshmikantham, V.; Liu, Xinzhi
158
1996
General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031
Lakshmikantham, V.; Vatsala, A. S.
157
2008
Theory of fuzzy differential equations and inclusions. Zbl 1072.34001
Lakshmikantham, V.; Mohapatra, Ram N.
154
2003
Oscillation theory of differential equations with deviating arguments. Zbl 0622.34071
Ladde, G. S.; Lakshmikantham, V.; Zhang, B. G.
134
1987
Generalized quasilinearization for nonlinear problems. Zbl 0997.34501
Lakshmikantham, V.; Vatsala, A. S.
115
1998
Theory of set differential equations in metric spaces. Zbl 1156.34003
Lakshmikantham, V.; Gnana Bhaskar, T.; Vasundhara Devi, J.
113
2006
Theory of fractional differential inequalities and applications. Zbl 1159.34006
Lakshmikantham, V.; Vatsala, A. S.
107
2007
Vector Lyapunov functions and stability analysis of nonlinear systems. Zbl 0721.34054
Lakshmikantham, V.; Matrosov, V. M.; Sivasundaram, S.
106
1991
Random differential inequalities. Zbl 0466.60002
Ladde, G. S.; Lakshmikantham, V.
106
1980
Differential equation s in abstract spaces. Zbl 0257.34002
Ladas, G. E.; Lakshmikantham, V.
100
1972
Practical stability of nonlinear systems. Zbl 0753.34037
Lakshmikantham, V.; Leela, S.; Martynyuk, A. A.
90
1990
Uniqueness and nonuniqueness criteria for ordinary differential equations. Zbl 0785.34003
Agarwal, R. P.; Lakshmikantham, V.
81
1993
Equations with unbounded delay: A survey. Zbl 0449.34048
Corduneanu, C.; Lakshmikantham, V.
78
1980
Theory of integro-differential equations. Zbl 0849.45004
Lakshmikantham, V.; Rao, M. Rama Mohana
77
1995
Stability analysis in terms of two measures. Zbl 0797.34056
Lakshmikantham, V.; Liu, X. Z.
75
1993
Theory of fractional differential equations in a Banach space. Zbl 1146.34042
Lakshmikantham, V.; Vasundhara Devi, J.
68
2008
Trends in the theory of impulsive differential equations. Zbl 0718.34011
Lakshmikantham, V.
64
1989
Existence and monotone method for periodic solutions of first-order differential equations. Zbl 0525.34031
Lakshmikantham, V.; Leela, S.
64
1983
Oscillations of higher-order retarded differential equations generated by the retarded argument. Zbl 0273.34052
Ladas, G.; Lakshmikantham, V.; Papadakis, J. S.
62
1972
Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54030
Ćirić, Ljubomir; Lakshmikantham, V.
55
2009
Nagumo-type uniqueness result for fractional differential equations. Zbl 1177.34003
Lakshmikantham, V.; Leela, S.
53
2009
Theory of difference equations: numerical methods and applications. 2nd ed. Zbl 1014.39001
Lakshmikantham, V.; Trigiante, Donato
53
2002
Theory of differential equations with unbounded delay. Zbl 0823.34069
Lakshmikantham, V.; Wen, Lizhi; Zhang, Binggen
47
1994
A Krasnoselskii-Krein-type uniqueness result for fractional differential equations. Zbl 1177.34004
Lakshmikantham, V.; Leela, S.
47
2009
Basic results on hybrid differential equations. Zbl 1206.34020
Dhage, Bapurao C.; Lakshmikantham, V.
45
2010
Remarks on first and second order periodic boundary value problems. Zbl 0532.34029
Lakshmikantham, V.; Leela, S.
45
1984
Existence and interrelation between set and fuzzy differential equations. Zbl 1035.34064
Lakshmikantham, V.; Tolstonogov, A. A.
43
2003
Monotone iterative technique for differential equations in a Banach space. Zbl 0523.34057
Du, S. W.; Lakshmikantham, V.
43
1982
Initial and boundary value problems for fuzzy differential equations. Zbl 1048.34015
O’Regan, Donal; Lakshmikantham, V.; Nieto, Juan J.
42
2003
Revisiting fuzzy differential equations. Zbl 1095.34511
Bhaskar, T. Gnana; Lakshmikantham, V.; Devi, Vasundhara
41
2004
Stability criteria for impulsive differential equations in terms of two measures. Zbl 0688.34031
Lakshmikantham, V.; Liu, Xinzhi
39
1989
Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces. Zbl 0645.34014
Guo, Dajun; Lakshmikantham, V.
39
1988
Periodic boundary value problems of first and second order differential equations. Zbl 0712.34058
Lakshmikantham, V.
37
1989
Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times. Zbl 0807.34064
Kaul, S.; Lakshmikantham, V.; Leela, S.
36
1994
On the existence of weak solutions of differential equations in nonreflexive Banach spaces. Zbl 0379.34041
Cramer, Evin; Lakshmikantham, V.; Mitchell, A. R.
36
1978
On quasi stability for impulse differential systems. Zbl 0688.34032
Lakshmikantham, V.; Liu, Xinzhi
33
1989
Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations. Zbl 1190.49025
Galanis, G. N.; Bhaskar, T. Gnana; Lakshmikantham, V.; Palamides, P. K.
31
2005
Hybrid systems on time scales. Zbl 1032.34050
Lakshmikantham, V.; Vatsala, A. S.
31
2002
Method of variation of parameters for dynamic systems. Zbl 0920.34001
Lakshmikantham, V.; Deo, S. G.
31
1998
Lyapunov theory for fractional differential equations. Zbl 1191.34007
Lakshmikantham, V.; Leela, S.; Sambandham, M.
30
2008
Cone-valued Lyapunov functions. Zbl 0357.34051
Lakshmikantham, V.; Leela, S.
30
1977
Periodic boundary value problems for second order impulsive differential systems. Zbl 0712.34033
Hu, Shouchuan; Lakshmikantham, V.
30
1989
Nonsmooth analysis and fractional differential equations. Zbl 1237.49022
Vasundhara Devi, J.; Lakshmikantham, V.
30
2009
Comparison principle for impulsive differential equations with variable times and stability theory. Zbl 0797.34058
Lakshmikantham, V.; Leela, S.; Kaul, S.
30
1994
Periodic boundary value problems for systems of first order impulsive differential equations. Zbl 0732.34040
Bajnov, D. D.; Khristova, S. G.; Hu, Shouchuan; Lakshmikantham, V.
29
1989
A stacking theorem approach for fuzzy differential equations. Zbl 1042.34027
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
28
2003
Set differential equations and flow invariance. Zbl 1047.34010
Bhaskar, T. Gnana; Lakshmikantham, V.
28
2003
Fixed point theorems of operators with PPF dependence in Banach spaces. Zbl 0375.47027
Bernfeld, Stephen R.; Lakshmikantham, V.; Reddy, Y. M.
28
1977
On perturbing Lyapunov functions. Zbl 0354.34050
Lakshmikantham, V.; Leela, S.
27
1976
Further improvement of generalized quasilinearization method. Zbl 0855.34012
Lakshmikantham, V.
25
1996
Viability theory and fuzzy differential equations. Zbl 1074.34009
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
25
2005
Nonlinear variation of parameters formula for set differential equations in a metric space. Zbl 1153.34313
Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J.
25
2005
Improved generalized quasilinearization (GQL) method. Zbl 0830.65068
Lakshmikantham, V.; Leela, S.; McRae, Farzana A.
24
1995
Theory of causal differential equations. Zbl 1219.34002
Lakshmikantham, V.; Leela, S.; Drici, Zahia; McRae, F. A.
23
2009
An extension of the method of quasilinearization. Zbl 0806.34013
Lakshmikantham, V.
23
1994
Methods of generalized quasilinearization for periodic boundary value problems. Zbl 0855.34011
Lakshmikantham, V.; Shahzad, N.; Nieto, Juan J.
22
1996
Global existence and asymptotic equilibrium in Banach spaces. Zbl 0273.34040
Ladas, G.; Lakshmikantham, V.
22
1972
Positive solutions of nonlinear integral equations arising in infectious diseases. Zbl 0658.45012
Guo, Dajun; Lakshmikantham, V.
21
1988
Fractional differential equations with a Krasnoselskii-Krein type condition. Zbl 1181.34008
Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S.
20
2009
Monotone iterative technique for functional differential equations with retardation and anticipation. Zbl 1121.34065
Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J.
20
2007
Comparison principle and nonlinear contractions in abstract spaces. Zbl 0296.47037
Eisenfeld, J.; Lakshmikantham, V.
20
1975
The method of upper, lower solutions and hyperbolic partial differential equations. Zbl 0569.35056
Lakshmikantham, V.; Pandit, S. G.
20
1985
Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems. Zbl 0977.34017
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
20
2000
Stability of motion: the comparison method. Stability: theory, methods and applications. (Устойчивость движения: метод сравнения. Устойчивость: теория, методы и приложения.) Zbl 0852.34057
Lakshmikantham, V.; Leela, S.; Martynyuk, A. A.
20
1991
Impulsive hybrid systems and stability theory. Zbl 0901.34018
Lakshmikantham, V.; Liu, X.
20
1998
Existence of solutions of boundary value problems for nonlinear second order systems in a Banach space. Zbl 0385.34035
Chandra, Jahdish; Lakshmikantham, V.; Mitchell, A. R.
20
1978
Monotone flows and rapid convergence for nonlinear partial differential equations. Zbl 1017.35001
Lakshmikantham, V.; Köksal, S.
19
2003
Differential equations in metric spaces: An introduction and an application to fuzzy differential equations. Zbl 1057.34061
Lakshmikantham, V.; Nieto, Juan J.
19
2003
Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach. Zbl 1010.34011
Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S.
19
2002
A damped oscillator with piecewise constant time delay. Zbl 1016.34069
Wiener, Joseph; Lakshmikantham, V.
18
2000
Two-point boundary value problems associated with nonlinear fuzzy differential equations. Zbl 1022.34051
Lakshmikantham, V.; Murty, K. N.; Turner, J.
18
2001
Generalized quasilinearization. Zbl 0799.34012
Lakshmikantham, V.; Malek, S.
18
1994
Further generalization of generalized quasilinearization method. Zbl 0817.34005
Lakshmikantham, V.; Shahzad, N.
18
1994
Generalized quasilinearization for nonlinear first order ordinary differential equations. Zbl 0855.34013
Lakshmikantham, V.; Nieto, J. J.
18
1995
Extensions of the method of quasilinearization. Zbl 0837.65068
Lakshmikantham, V.; Leela, S.; Sivasundaram, S.
18
1995
Existence and uniqueness of solutions of delay differential equations on a closed subset of a Banach space. Zbl 0384.34040
Lakshmikantham, V.; Leela, S.; Moauro, V.
18
1978
Impulsive differential systems and the pulse phenomena. Zbl 0684.34003
Hu, Shouchuan; Lakshmikantham, V.; Leela, S.
17
1989
Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions. Zbl 1010.65041
Carl, S.; Lakshmikantham, V.
17
2002
On Massera type converse theorem in terms of two different measures. Zbl 0351.34030
Lakshmikantham, V.; Salvadori, L.
16
1976
Stability theory for set differential equations. Zbl 1068.34047
Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J.
16
2004
Periodic boundary value problems for integro-differential equations of Volterra type. Zbl 0622.45007
Hu, Shouchuan; Lakshmikantham, V.
16
1986
Stability analysis of nonlinear systems. 2nd edition. Zbl 1405.93006
Lakshmikantham, Vangipuram; Leela, Srinivasa; Martynyuk, Anatoly A.
9
2015
On the concept of solution for fractional differential equations with uncertainty. Zbl 1188.34005
Agarwal, Ravi P.; Lakshmikantham, V.; Nieto, Juan J.
216
2010
Basic results on hybrid differential equations. Zbl 1206.34020
Dhage, Bapurao C.; Lakshmikantham, V.
45
2010
On global existence and attractivity results for nonlinear functional integral equations. Zbl 1197.45005
Dhage, Bapurao C.; Lakshmikantham, V.
12
2010
Theory of fractional dynamic systems. Zbl 1188.37002
Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J.
603
2009
Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54032
Lakshmikantham, V.; Ćirić, Ljubomir
406
2009
Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. Zbl 1176.54030
Ćirić, Ljubomir; Lakshmikantham, V.
55
2009
Nagumo-type uniqueness result for fractional differential equations. Zbl 1177.34003
Lakshmikantham, V.; Leela, S.
53
2009
A Krasnoselskii-Krein-type uniqueness result for fractional differential equations. Zbl 1177.34004
Lakshmikantham, V.; Leela, S.
47
2009
Nonsmooth analysis and fractional differential equations. Zbl 1237.49022
Vasundhara Devi, J.; Lakshmikantham, V.
30
2009
Theory of causal differential equations. Zbl 1219.34002
Lakshmikantham, V.; Leela, S.; Drici, Zahia; McRae, F. A.
23
2009
Fractional differential equations with a Krasnoselskii-Krein type condition. Zbl 1181.34008
Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S.
20
2009
Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045
Lakshmikantham, V.; Carl, S.; Heikkilä, S.
7
2009
The hybrid grand unified theory. Zbl 1188.81003
Lakshmikantham, V.; Escultura, E.; Leela, S.
1
2009
Revisiting the hybrid real number system. Zbl 1167.03311
Escultura, E.; Bhaskar, T. Gnana; Lakshmikantham, V.; Leela, S.
1
2009
Basic theory of fractional differential equations. Zbl 1161.34001
Lakshmikantham, V.; Vatsala, A. S.
444
2008
Theory of fractional functional differential equations. Zbl 1162.34344
Lakshmikantham, V.
265
2008
General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031
Lakshmikantham, V.; Vatsala, A. S.
157
2008
Theory of fractional differential equations in a Banach space. Zbl 1146.34042
Lakshmikantham, V.; Vasundhara Devi, J.
68
2008
Lyapunov theory for fractional differential equations. Zbl 1191.34007
Lakshmikantham, V.; Leela, S.; Sambandham, M.
30
2008
Set differential equations in Fréchet spaces. Zbl 1147.58007
Galanis, George N.; Bhaskar, Tenali Gnana; Lakshmikantham, Vangipuram
6
2008
Stability theory for multi-order fractional differential equations. Zbl 1185.34007
Lakshmikantham, V.; Leela, S.
1
2008
Theory of fractional differential inequalities and applications. Zbl 1159.34006
Lakshmikantham, V.; Vatsala, A. S.
107
2007
Monotone iterative technique for functional differential equations with retardation and anticipation. Zbl 1121.34065
Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J.
20
2007
An existence theorem for set differential inclusions in a semilinear metric space. Zbl 1166.49019
de Blasi, F.; Lakshmikantham, V.; Bhaskar, T. Gnana
14
2007
Perspectives of fuzzy initial value problems. Zbl 1152.34041
Bede, Barnabás; Bhaskar, T. Gnana; Lakshmikantham, V.
13
2007
Functional differential systems with retardation and anticipation. Zbl 1138.34029
Bhaskar, T. Gnana; Lakshmikantham, V.
6
2007
The hybrid real number system. Zbl 1122.03312
Lakshmikantham, V.; Kovach, Danny
5
2007
The hybrid set theory. Zbl 1122.03309
Bhaskar, T. Gnana; Kovach, Danny; Lakshmikantham, V.
4
2007
Hybrid physics of the mind. Zbl 1197.00020
Lakshmikantham, V.
2
2007
Functional differential equations with anticipation. Zbl 1151.34325
Lakshmikantham, V.; Vasundhara Devi, J.
2
2007
Fixed point theorems in partially ordered metric spaces and applications. Zbl 1106.47047
Bhaskar, T. Gnana; Lakshmikantham, V.
595
2006
Theory of set differential equations in metric spaces. Zbl 1156.34003
Lakshmikantham, V.; Gnana Bhaskar, T.; Vasundhara Devi, J.
113
2006
Hybrid systems with time scales and impulses. Zbl 1109.34003
Lakshmikantham, 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 1106.35036
Kiguradze, Tariel; Lakshmikantham, V.
8
2006
Ancient and medieval astronomers and mathematicians of India. Zbl 1208.01001
Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J.
1
2006
Set valued functions in Fréchet spaces: continuity, Hukuhara differentiability and applications to set differential equations. Zbl 1190.49025
Galanis, G. N.; Bhaskar, T. Gnana; Lakshmikantham, V.; Palamides, P. K.
31
2005
Viability theory and fuzzy differential equations. Zbl 1074.34009
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
25
2005
Nonlinear variation of parameters formula for set differential equations in a metric space. Zbl 1153.34313
Bhaskar, T. Gnana; Lakshmikantham, V.; Vasundhara Devi, J.
25
2005
Computational error and complexity in science and engineering. Zbl 1076.65045
Lakshmikantham, Vangipuram; Sen, Syamal K.
12
2005
Generalized quasilinearization versus Newton method. Zbl 1078.65037
Lakshmikantham, V.; Vatsala, A. S.
11
2005
Maximal solutions and existence theory for fuzzy differential and integral equations. Zbl 1106.47067
Agarwal, R. P.; O’Regan, D.; Lakshmikantham, V.
5
2005
The origin and history of mathematics. Zbl 1141.01003
Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J.
5
2005
Nonresonant singular boundary value problems with sign changing nonlinearities. Zbl 1086.34020
Agarwal, 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 1084.34010
Agarwal, R. P.; Frigon, M.; Lakshmikantham, V.; O’Regan, D.
1
2005
Monotone approximations and rapid convergence. Zbl 1079.65066
Lakshmikantham, V.
1
2005
Revisiting fuzzy differential equations. Zbl 1095.34511
Bhaskar, T. Gnana; Lakshmikantham, V.; Devi, Vasundhara
41
2004
Stability theory for set differential equations. Zbl 1068.34047
Lakshmikantham, V.; Leela, S.; Vasundhara Devi, J.
16
2004
Lyapunov stability for set differential equations. Zbl 1078.34032
Gnana Bhaskar, T.; Lakshmikantham, V.
9
2004
A generalized upper and lower solution method for singular initial value problems. Zbl 1098.34004
Agarwal, R. P.; O’Regan, D.; Lakshmikantham, V.; Leela, S.
4
2004
Fuzzy Volterra integral equations: a stacking theorem approach. Zbl 1069.45001
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
3
2004
Error in error-free computation for linear system. Zbl 1165.65328
Lakshmikantham, V.; Sen, S. K.; Mohanty, A.
3
2004
Formulas of Bendixson and Alekseev for difference equations. Zbl 1043.39007
Bohner, M.; Lakshmikantham, V.
1
2004
Lyapunov functions in metric spaces. Zbl 1089.34539
Lakshmikantham, V.; Vasundhara Devi, J.
1
2004
Theory of fuzzy differential equations and inclusions. Zbl 1072.34001
Lakshmikantham, V.; Mohapatra, Ram N.
154
2003
Existence and interrelation between set and fuzzy differential equations. Zbl 1035.34064
Lakshmikantham, V.; Tolstonogov, A. A.
43
2003
Initial and boundary value problems for fuzzy differential equations. Zbl 1048.34015
O’Regan, Donal; Lakshmikantham, V.; Nieto, Juan J.
42
2003
A stacking theorem approach for fuzzy differential equations. Zbl 1042.34027
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
28
2003
Set differential equations and flow invariance. Zbl 1047.34010
Bhaskar, T. Gnana; Lakshmikantham, V.
28
2003
Monotone flows and rapid convergence for nonlinear partial differential equations. Zbl 1017.35001
Lakshmikantham, V.; Köksal, S.
19
2003
Differential equations in metric spaces: An introduction and an application to fuzzy differential equations. Zbl 1057.34061
Lakshmikantham, V.; Nieto, Juan J.
19
2003
Set differential equations and monotone flows. Zbl 1090.34064
Lakshmikantham, V.; Vatsala, A. S.
10
2003
Discrete second order inclusions. Zbl 1047.39013
Agarwal, 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 1046.34033
Agarwal, 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 1028.34016
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
5
2003
Unified approach to monotone iterative technique for semilinear parabolic problems. Zbl 1024.35048
Köksal, S.; Lakshmikantham, V.
4
2003
Generalized proximal normals and flow invariance for differential inclusions. Zbl 1035.34009
Gnana Bhaskar, T.; Lakshmikantham, V.
3
2003
Generalized quasilinearization method for semilinear hyperbolic problems. Zbl 1026.35082
Gnana Bhaskar, T.; Köksal, S.; Lakshmikantham, V.
1
2003
Theory of difference equations: numerical methods and applications. 2nd ed. Zbl 1014.39001
Lakshmikantham, V.; Trigiante, Donato
53
2002
Hybrid systems on time scales. Zbl 1032.34050
Lakshmikantham, V.; Vatsala, A. S.
31
2002
Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach. Zbl 1010.34011
Agarwal, 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 1010.65041
Carl, S.; Lakshmikantham, V.
17
2002
An upper and lower solution theory for singular Emden-Fowler equations. Zbl 1011.34013
Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.; Leela, S.
16
2002
Basic theory of fuzzy difference equations. Zbl 1023.39008
Lakshmikantham, V.; Vatsala, A. S.
12
2002
On the Dirichlet problem for fourth-order linear hyperbolic equations. Zbl 1004.35082
Kiguradze, T.; Lakshmikantham, V.
8
2002
Generalized quasilinearization and semilinear parabolic problems. Zbl 1011.35079
Carl, S.; Lakshmikantham, V.
5
2002
On doubly periodic solutions of fourth-order linear hyperbolic equations. Zbl 1004.35080
Kiguradze, T.; Lakshmikantham, V.
4
2002
On the Dirichlet problem in a characteristic rectangle for higher order linear hyperbolic equations. Zbl 1004.35083
Kiguradze, T.; Lakshmikantham, V.
4
2002
A unified monotone iterative technique for semilinear elliptic boundary value problems. Zbl 1140.35419
Köksal, S.; Lakshmikantham, V.
3
2002
Nonuniform nonresonance at the first eigenvalue for singular boundary value problems with sign changing nonlinearities. Zbl 1021.34016
Agarwal, R. P.; O’Regan, Donal; Lakshmikantham, V.
3
2002
A new concept unifying Lyapunov and orbital stabilities. Zbl 1085.34532
Lakshmikantham, V.; Leela, S.
2
2002
A unified monotone iterative technique for nonlinear elliptic problems via nonvariational method. Zbl 1009.35036
Köksal, Semen; Lakshmikantham, V.
1
2002
Two-point boundary value problems associated with nonlinear fuzzy differential equations. Zbl 1022.34051
Lakshmikantham, V.; Murty, K. N.; Turner, J.
18
2001
Strict stability of differential equations. Zbl 1008.34041
Lakshmikantham, V.; Mohapatra, R. N.
12
2001
Strict practical stability of delay differential equation. Zbl 1035.34082
Lakshmikantham, V.; Zhang, Y.
7
2001
Basic results for fuzzy impulsive differential equations. Zbl 0993.34008
Lakshmikantham, V.; McRae, Farzana A.
7
2001
Basic properties of solutions of fuzzy differential equations. Zbl 0997.34051
Lakshmikantham, V.; Mohapatra, R. N.
6
2001
Fuzzy differential systems and the new concept of stability. Zbl 1007.34055
Lakshmikantham, V.; Leela, S.
6
2001
Strict practical stability of delay differential equation. Zbl 1037.34070
Lakshmikantham, V.; Zhang, Y.
6
2001
Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type. Zbl 0986.34014
Agarwal, R. P.; O’Regan, D.; Lakshmikantham, V.
4
2001
Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type. Zbl 0984.35087
Carl, S.; Lakshmikantham, V.
4
2001
Generalized quasilinearization and semilinear degenerate elliptic problems. Zbl 1172.35406
Lakshmikantham, V.; Leela, S.
3
2001
Handbook of stochastic analysis and applications. Zbl 0979.00017
2
2001
Generalized quasilinearization and quasilinear elliptic problems. Zbl 1075.35523
Lakshmikantham, V.; Leela, S.
2
2001
Existence criteria for singular initial value problems with sign changing nonlinearities. Zbl 1023.34001
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
2
2001
An overview of integro-differential equations and variational Lyapunov method. Zbl 0983.45004
Stephens, Sonya A. F.; Lakshmikantham, V.
1
2001
Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems. Zbl 0977.34017
Agarwal, Ravi P.; O’Regan, Donal; Lakshmikantham, V.
20
2000
A damped oscillator with piecewise constant time delay. Zbl 1016.34069
Wiener, Joseph; Lakshmikantham, V.
18
2000
Differential equations with piecewise constant argument and impulsive equations. Zbl 0997.34076
Wiener, Joseph; Lakshmikantham, V.
12
2000
Uncertain systems and fuzzy differential equations. Zbl 0966.34055
Lakshmikantham, V.
6
2000
...and 285 more Documents
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Cited by 6,902 Authors

222 Agarwal, Ravi P.
180 Lakshmikantham, Vangipuram
168 O’Regan, Donal
138 Nieto Roig, Juan Jose
114 Chen, Lansun
104 Liu, Lishan
94 Benchohra, Mouffak
91 Ntouyas, Sotiris K.
85 Wu, Yonghong
80 Ahmad, Bashir
77 Ge, Weigao
76 Liu, Xinzhi
75 Wang, Jinrong
70 Henderson, Johnny Lee
66 Shen, Jianhua
60 Băleanu, Dumitru I.
59 Cabada, Alberto
59 Sun, Ji Tao
58 Bainov, Drumi Dimitrov
58 Heikkilä, Seppo V.
56 Li, Yongxiang
54 Zhou, Yong
53 Karapınar, Erdal
51 Jankowski, Tadeusz
49 Ladde, Gangaram S.
48 Leela, Srinivasa G.
48 Vatsala, Aghalaya S.
45 Feng, Meiqiang
45 Martynyuk, Anatoliĭ Andriĭovych
43 Jiao, Jianjun
42 Tariboon, Jessada
42 Wang, Guotao
41 Graef, John R.
40 Samet, Bessem
40 Stamova, Ivanka Milkova
39 Wang, Peiguang
38 Cui, Yujun
38 Khristova, Snezhana G.
36 Yan, Jurang
35 Aydi, Hassen Mohamed
35 Džurina, Jozef
35 Kumam, Poom
35 Li, Wan-Tong
35 Zhang, Xuemei
34 Ouahab, Abdelghani
34 Wong, Patricia J. Y.
34 Zhai, Chengbo
33 Guo, Dajun
33 Khan, Rahmat Ali
33 Meng, Xinzhu
33 Song, Xinyu
33 Sun, Jianping
33 Wei, Zhongli
32 Gumel, Abba B.
32 Rodríguez-López, Rosana
32 Xu, Jiafa
31 Chen, Haibo
31 Li, Xiaodi
31 Radenovic, Stojan
31 Shah, Kamal
31 Zhang, Lihong
30 Balachandran, Krishnan
30 Choudhury, Binayak Samadder
30 Teng, Zhi-dong
29 Abbas, Said
29 Akhmet, Marat Ubaydulla
29 Jiang, Daqing
29 Luo, Zhiguo
29 Su, Hua
29 Xu, Daoyi
28 Al-saedi, Ahmed Eid Salem
28 Luca, Rodica
28 Shatanawi, Wasfi A.
28 Sivasundaram, Seenith
28 Slyn’ko, Vitalii Ivanovich
27 Carl, Siegfried
27 He, Zhimin
27 Pandey, Dwijendra Narain
26 Erbe, Lynn Harry
26 Li, Yongkun
26 Sun, Jingxian
25 Cai, Shaohong
25 Cao, Jinde
25 Liu, Zhenhai
25 Philos, Christos G.
25 Sintunavarat, Wutiphol
25 Stamov, Gani Trendafilov
25 Zhang, Binggen
24 Baculíková, Blanka
24 Goodrich, Christopher S.
24 Li, Tongxing
24 Liu, Yuji
24 Ngo Van Hoa
24 Sadarangani, Kishin B.
24 Wang, Weibing
24 Yan, Baoqiang
24 Zhang, Xingqiu
23 Grace, Said Rezk
23 Liu, Yansheng
23 Mao, Xuerong
...and 6,802 more Authors
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Cited in 520 Serials

631 Journal of Mathematical Analysis and Applications
620 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
588 Applied Mathematics and Computation
453 Advances in Difference Equations
376 Computers & Mathematics with Applications
314 Abstract and Applied Analysis
300 Nonlinear Analysis. Theory, Methods & Applications
213 Fixed Point Theory and Applications
209 Applied Mathematics Letters
199 Journal of Computational and Applied Mathematics
188 Boundary Value Problems
163 Journal of Applied Mathematics and Computing
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139 Mathematical and Computer Modelling
136 Applicable Analysis
108 Discrete Dynamics in Nature and Society
106 Chaos, Solitons and Fractals
95 Communications in Nonlinear Science and Numerical Simulation
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84 Journal of Function Spaces
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76 Journal of Inequalities and Applications
68 Journal of Fixed Point Theory and Applications
67 Rocky Mountain Journal of Mathematics
67 Mediterranean Journal of Mathematics
62 Journal of Difference Equations and Applications
61 Automatica
61 Proceedings of the American Mathematical Society
59 Journal of the Franklin Institute
59 Stochastic Analysis and Applications
59 Mathematical Problems in Engineering
58 Nonlinear Dynamics
58 Fractional Calculus & Applied Analysis
58 Journal of Applied Mathematics
54 Journal of Nonlinear Science and Applications
46 International Journal of Differential Equations
43 Applied Mathematical Modelling
40 Mathematics and Computers in Simulation
40 Differential Equations and Dynamical Systems
39 Ukrainian Mathematical Journal
38 Applied Mathematics and Mechanics. (English Edition)
36 Results in Mathematics
35 Czechoslovak Mathematical Journal
34 Journal of Optimization Theory and Applications
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33 Mathematical Methods in the Applied Sciences
32 Acta Mathematicae Applicatae Sinica. English Series
32 Nonlinear Analysis. Modelling and Control
31 International Journal of Systems Science
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25 Applied Mathematics. Series B (English Edition)
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17 Bulletin of Mathematical Biology
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17 Vietnam Journal of Mathematics
17 Journal of Theoretical Biology
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17 Mathematical Sciences
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15 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Cited in 55 Fields

6,020 Ordinary differential equations (34-XX)
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840 Systems theory; control (93-XX)
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