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Heartfelt tribute to the person with an amazing legacy. (English) Zbl 1144.01318

MSC:

01A99 History of mathematics and mathematicians

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Biographic References:

Lakshmikantham, V.
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[25] Stability Analysis in Terms of Two Measures (1993), World Scientific Publishers: World Scientific Publishers Singapore, with X. Liu
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[32] Nonlinear Integral Equations in Abstract Spaces (1996), Kluwer Publications, with X. Liu and D. Guo
[33] Proceedings of the Second World Congress of Nonlinear Analysts (1997), Elsevier Science, Ltd, (six volumes)
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[35] Method of Variation of Parameters for Nonlinear Dynamics Systems (1997), Gordon and Breach: Gordon and Breach England, with S.G. Deo
[36] Generalized Quasilinearization for Nonlinear Problems (1998), Kluwer Publications, with A.S. Vatsala · Zbl 0997.34501
[37] The Origin of Human Past: Children of Immortal Bliss (1999), Bharatiya Vidya Bhavan: Bharatiya Vidya Bhavan Bombay
[38] The Origin of Mathematics (2000), University Press of America, with S. Leela · Zbl 0963.01005
[39] Theory of Difference Equations: Numerical Analysis and Applications (2002), Marcel Dekker, with D. Trigiante
[40] Monotone Flows and Rapid Convergence for Partial Differential Equations (2003), Taylor & Francis: Taylor & Francis England, with S. Köksal · Zbl 1017.35001
[41] Theory of Fuzzy Differential Equations and Inclusions (2003), Taylor & Francis: Taylor & Francis England, with R. Mohapatra
[42] Theory of set Differential Equations in a Metric Space (2005), Cambridge Scientific Publishers: Cambridge Scientific Publishers U.K, with T. Gnana Bhaskar and J. Vasundhara Devi
[43] The Origin and History of Mathematics (2005), Cambridge Scientific Publishers: Cambridge Scientific Publishers U.K, with J. Vasundhara Devi and S. Leela · Zbl 1141.01003
[44] Computational Error and Complexity in Science and Engineering (2005), Elsevier: Elsevier Amsterdam, with S.K. Sen · Zbl 1076.65045
[45] What India Should Know (2005), Bharatiya Vidya Bhavan: Bharatiya Vidya Bhavan Bombay, with J. Vasundhara Devi
[46] Theory of Fractional Dynamic Systems, Cambridge Scientific Publishers, (in press) with S. Leela and J. Vasundhara Devi; Theory of Fractional Dynamic Systems, Cambridge Scientific Publishers, (in press) with S. Leela and J. Vasundhara Devi
[47] (Martynyuk, A. A., Advances in Stability Theory: Old and New, Stability Theory at the End of the XXth Century, vol. 13 (2000), Gordon and Breach Publishers: Gordon and Breach Publishers United Kingdom), 159-171, with S. Leela
[48] A note on multiple solutions for (p, n-p) focal and (n, p) problems, Nonlinear Stud., 7, 18-24 (2000), with R.P. Agarwal and D. O’Regan · Zbl 1010.34016
[49] A damped oscillator with piecewise constant time delay, Nonlinear Stud., 7, 78-84 (2000), with J. Wiener · Zbl 1016.34069
[50] Differential equations with piecewise constant argument and impulsive equations, Nonlinear Stud., 7, 60-69 (2000), with J. Wiener · Zbl 0997.34076
[51] Uncertain systems and fuzzy differential equations, J. Math. Appl. Anal., 251, 805-817 (2000) · Zbl 0966.34055
[52] Existence of fixed points of fuzzy mappings via theory of fuzzy differential equations, J. Comput. Appl. Math., 113, 195-200 (2000), with A.S. Vatsala · Zbl 0943.34051
[53] Generalized quasilinearization and semilinear elliptic BVPs, J. Math. Anal. Appl., 249, 199-220 (2000) · Zbl 0959.35062
[54] Advances in stability theory of Lyapunov, SAMS, 37, 407-416 (2000) · Zbl 1169.34300
[55] Criteria for a new concept of stability, J. Korean Math. Soc., 37, 657-664 (2000) · Zbl 0990.34048
[56] Strict practical stability of delay differential equation, Appl. Math. Comput., 118, 275-286 (2001), with Y. Zhang · Zbl 1035.34082
[57] Basic results for fuzzy impulsive differential equations, J. Math. Inequal. Appl., 4, 239-246 (2001), with F. McRae · Zbl 0993.34008
[58] Practical stability of hybrid impulsive dynamic systems, Intern. J. Hybrid Systems, 1, 67-78 (2001)
[59] Singular nonresonant dirichlet BVP and quadratic forms, Nonlinear Stud., 8, 13-20 (2001), with R.P. Agarwal and D. O’Regan · Zbl 1054.34036
[60] Generalized quasilinear method for quasilinear elliptic problems, J. Nonlinear Anal., 46, 1101-1110 (2001)
[61] Fuzzy differential systems and the new concept of stability, Nonlinear Dyn. Syst. Theory, 1, 111-120 (2001), with S. Leela
[62] Existence criteria for singular initial value problems with sign changing singularities, Math. Probl. Eng., 7, 503-524 (2001), with R.P. Agarwal and D. O’Regan · Zbl 1023.34001
[63] Two point BVPs associated with nonlinear fuzzy differential equations, Math. Inequal. Appl., 4, 527-533 (2001), with K.N. Murty and J. Turner · Zbl 1022.34051
[64] Generalized quasilinearization and semilinear degenerate elliptic problem, Discrete Contin. Dyn. Syst., 7, 801-808 (2001), with S. Leela · Zbl 1172.35406
[65] A unified monotone iterative technique for semilinear elliptic BVPs, Appl. Anal., 79, 397-403 (2001), with S. Koksal
[66] An overview of integro-differential equations and variational Lyapunov method, Contemp. Math., 275, 129-135 (2001), with Sonia Felton Stephens · Zbl 0983.45004
[67] Quadratic forms and nonlinear nonresonant singular second order BVPs of limit cycle type, J. Anal. Appl., 20, 727-737 (2001), with R.P. Agarwal and D. O’Regan · Zbl 0986.34014
[68] Strict stability of differential equations, Nonlinear Anal., 46, 915-922 (2001), with R. Mohapatra
[69] Uncertain systems and fuzzy differential equations, J. Math. Anal. Appl., 251, 805-817 (2001) · Zbl 0966.34055
[70] Generalized quasilinearization and semilinear parabolic problems, J. Nonlinear Anal., 48, 947-960 (2002), with S. Carl · Zbl 1011.35079
[71] A new concept unifying Lyapunov and orbital stabilities, Comm. Appl. Anal., 6, 289-296 (2002), with S. Leela · Zbl 1085.34532
[72] On the Dirichlet problem for fourth order linear hyperbolic equations, J. Nonlinear Anal., 49, 197-220 (2002), with T. Kiguradze
[73] On doubly periodic solutions of fourth order linear hyperbolic equations, J. Nonlinear Anal., 49, 87-112 (2002), with T. Kiguradze · Zbl 1004.35080
[74] Basic theory of fuzzy difference equations, J. Difference Equ. Appl., 1-12 (2002), with A.S. Vatsala
[75] A unified iterative technique for nonlinear elliptic problems via nonvariational method, Nonlinear Funct. Anal., 7, 143-154 (2002), with S. Koksal · Zbl 1009.35036
[76] Set-valued hybrid differential equations and stability in terms of two measures, Intern. J. Hybrid Systems, 2, 169-188 (2002), with A.S. Vatsala and S. Leela
[77] Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions, J. Math. Anal. Appl., 271, 182-205 (2002), with S. Carl · Zbl 1010.65041
[78] Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach, Nonlinear Anal., 50, 215-225 (2002), with R.P. Agarwal, D. O’Regan, and S. Leela · Zbl 1010.34011
[79] An upper and lower solution theory for singular Emden-Fowler equations, Nonlinear Anal. Series B, 3, 275-291 (2002), with R.P. Agarwal, D. O’Regan, and S. Leela · Zbl 1011.34013
[80] Nonuniform nonresonance at the first eigenvalue for singular BVPs with sign changing nonlinearities, J. Math. Anal. Appl., 274, 404-423 (2002), with R.P. Agarwal and D. O’Regan · Zbl 1021.34016
[81] Fuzzy differential inclusions, Proc. Neural, Parallel Scient. Comp., 2, 141-144 (2002)
[82] Generalized quasilinearization method for semilinear hyperbolic problems, Discrete Contin. Dyn. Syst., 9, 1263-1276 (2003), with T. Gnana Bhaskar and S. Koksal · Zbl 1026.35082
[83] Set-differential equations and flow invariance, Appl. Anal., 82, 357-368 (2003), with T. Gnana Bhaskar · Zbl 1047.34010
[84] Generalized proximal normals and flow invariance for differential inclusions, Nonlinear Stud., 10, 1, 29-37 (2003), with T. Gnana Bhaskar · Zbl 1035.34009
[85] Interconnection between set and fuzzy differential equations, Nonlinear Anal., 54, 351-360 (2003), with A.S. Vatsala and S. Leela · Zbl 1029.34049
[86] Set differential equations and monotone flows, Nonlinear Dyn. Syst. Theory, 3, 151-161 (2003), with A.S. Vatsala · Zbl 1090.34064
[87] Existence criteria for singular BVPs modelling the membrane response of a spherical cap, Nonlinear Anal. Series B, 4, 223-244 (2003), with R.P. Agarwal and D. O’ Regan · Zbl 1028.34016
[88] Initial and BVPs for fuzzy differential equations, Nonlinear Anal., 54, 405-416 (2003), with D. O’ Regan and J. Nieto
[89] The Connection between set and fuzzy differential equations, Proc. Sym. 6th ISNM, Facta Universitatis, 4, #16, 1-10 (2003)
[90] Hybrid impulsive fuzzy differential systems, J. Hybrid Systems, 3, 81-94 (2003), with A.S. Vatsala
[91] Discrete second order inclusions, J. Difference Equ. Appl., 9, 879-885 (2003), with R.P. Agarwal and D. O’Regan · Zbl 1047.39013
[92] An upper and lower solution approach for nonlinear singular BVPs with \(y\)-dependence, Arch. Inequal. Appl., 1, 119-135 (2003), with R.P. Agarwal and D. O’Regan · Zbl 1046.34033
[93] Differential equations in metric spaces, DCDIS Series A, DCDS, 10, 991-1000 (2003), with J. Nieto · Zbl 1057.34061
[94] Existence and interrelation between set and fuzzy differential equations, J. Nonlinear Anal., 55, 255-268 (2003), with A. Tolstonogov · Zbl 1035.34064
[95] A stacking theorem approach for fuzzy differential equations, Nonlinear Anal., 55, 299-312 (2003), with R.P. Agarwal and D. O’Regan · Zbl 1042.34027
[96] Stability theory for set differential equations, the special issue honouring Prof. Siljak for his 70th birthday, Dyn. Contin. Discrete Impuls. Syst., 11, 2-3, 181-189 (2004), (special issue) with S. Leela and J. Vasundhara Devi
[97] Lyapunov stability for set differential equations, Dynam. Systems Appl., 13, 1-10 (2004), with T. Ghana Bhaskar · Zbl 1078.34032
[98] Fuzzy Volterra integral equations: A stacking theorems approach, Appl. Anal., 83, 521-532 (2004), with R. Agarwal and D. O’Regan · Zbl 1069.45001
[99] Existence of solutions of singular IVPs and BVPs, Problems of Nonlinear Analysis in Engineering Systems, 10, 71-82 (2004), with J.V. Devi
[100] Asymptotic controllability in terms of two measures of hybrid dynamic systems, (Adv. Dyn. Control (2004), Chapman Hall/CRC: Chapman Hall/CRC Boca Raton), 137-154, with S. Sivasundaram
[101] A generalized upper and lower solution method for singular initial value problems, Comput. Math. Appl., 47, 739-750 (2004), with R. Agarwal, D. O’Regan, and S. Leela · Zbl 1098.34004
[102] Revisiting fuzzy differential equations, Nonlinear Anal., 351-358 (2004), with T.G. Bhaskar and J.V. Devi · Zbl 1095.34511
[103] The role of differential inequalities in a wide range of nonlinear problems, Adv. Nonlinear Anal., 6-27 (2004)
[104] Set differential equations versus fuzzy differential equations, Appl. Math. Comput. (2004)
[105] Generalized Quasilinearization versus Newton’s method, Appl. Math. Comput. (2004), with A.S. Vatsala
[106] Set valued functions in Frechet spaces continuity Hukuhara differentiability and applications to set differential equations, T. Gnana Bhaskar, G.N. Galanis, and P.K. Palamides (in press); Set valued functions in Frechet spaces continuity Hukuhara differentiability and applications to set differential equations, T. Gnana Bhaskar, G.N. Galanis, and P.K. Palamides (in press) · Zbl 1190.49025
[107] Lyapunov-like functions in metric spaces, Dyn. Systems Appl., 13, 3-4, 553-560 (2004), with J. Vasundhara Devi · Zbl 1089.34539
[108] Nonlinear variation of parameters formula for set differential equations in a metric space, Nonlinear Anal., 63, 5-7, 735-744 (2005), with T. Gnana Bhaskar and J. Vasundhara Devi · Zbl 1153.34313
[109] Comparing random number generators using Monte Carlo integration, Internat. J. Innovative Comput. Inform. Control, I, 143-165 (2005), with S. Sen and S. Thadhagatha
[110] Monotone approximations and rapid convergence, Ten Math. Essays on Approx. in Analysis and Topology, 125-148 (2005), Elsevier · Zbl 1079.65066
[111] Stability in terms of two measures of hybrid systems with partially visible solutions, Nonlinear Anal. Hybrid Syst. Appl., 62, 1536-1543 (2005), with J. Vasundhara Devi and A.S. Vatsala · Zbl 1088.34049
[112] Nonresonant singular boundary value problems with sign changing nonlinearities, Appl. Math. Comput., 167, 1236-1248 (2005), with R.P. Agarwal, D. O’Regan, and S. Leela · Zbl 1086.34020
[113] Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65, 7, 1379-1393 (2006), with T. Gnana Bhaskar · Zbl 1106.47047
[114] Existence and Monotone Iterative technique for BVPS of set differential equations in a metric space, Problems of Nonlinear Analysis in Engineering systems No. 2 (26), 12, 46-52 (2006), with J.V. Devi
[115] Hybrid Systems with time scales and impulses, Nonlinear Anal., 65, 11, 2147-2152 (2006), with J.V. Devi · Zbl 1109.34003
[116] Functional differential systems with anticipation and retardation, Nonlinear Anal. Real World Problems, (in press) with T. Gnana Bhaskar; Functional differential systems with anticipation and retardation, Nonlinear Anal. Real World Problems, (in press) with T. Gnana Bhaskar
[117] Personage in science: Academician Yu.A. Mitropolskii, Nonlinear Dyn. Syst. Theory, 6, 4, 309-318 (2006), 01A70, with A.A. Martynyuk, J.H. Dshalalow · Zbl 1123.01306
[118] Hybrid systems and applications, Nonlinear Anal., 65, 12 (2006), v-vi, 93-106
[119] On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order, J. Math. Anal. Appl., 324, 2, 1242-1246 (2006), with Kiguradze, Tariel
[120] Hybrid real number system, Nonlinear Anal. Hybrid Syst., 1, 119-123 (2007), with Danny Kovach · Zbl 1122.03312
[121] Hybrid Physics of the mind, Nonlinear Anal. Hybrid Syst., 1, 135-138 (2007) · Zbl 1197.00020
[122] Monotone iterative technique for functional differential equations with retardation and anticipation, Nonlinear Anal., 66, 2237-2242 (2007), with T. Gnana Bhaskar and J.V. Devi · Zbl 1121.34065
[123] Hybrid set theory, Nonlinear Anal. Hybrid Syst., 1, 414-416 (2007), with T. Gnana Bhaskar and Danny Kovach · Zbl 1122.03309
[124] Hybrid unified theory, Nonlinear Anal., 67, 2769-2793 (2007) · Zbl 1127.81002
[125] Theory of fractional differential Equations in a Banach space, Invited Paper for the first issue of European Journal of Pure and Applied Mathematics (2008) (in press) with J. Vasundhara Devi; Theory of fractional differential Equations in a Banach space, Invited Paper for the first issue of European Journal of Pure and Applied Mathematics (2008) (in press) with J. Vasundhara Devi
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