# zbMATH — the first resource for mathematics

## Sivasundaram, Seenith

Compute Distance To:
 Author ID: sivasundaram.seenith Published as: Sivasundaram, S.; Sivasundaram, Seenith
 Documents Indexed: 119 Publications since 1987, including 11 Books Reviewing Activity: 471 Reviews
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#### Serials

 22 Nonlinear Studies 13 Applied Mathematics and Computation 13 Communications in Applied Analysis 9 Journal of Mathematical Analysis and Applications 5 Journal of Applied Mathematics and Stochastic Analysis 5 Dynamic Systems and Applications 5 Nonlinear Analysis. Real World Applications 3 Applicable Analysis 3 Journal of Mathematical and Physical Sciences 3 Nonlinear World 3 Nonlinear Analysis. Hybrid Systems 3 Mathematical Problems in Engineering, Aerospace and Sciences 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Neural Networks 2 AIP Conference Proceedings 1 Computers & Mathematics with Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Dynamics and Stability of Systems 1 Nonlinear Times and Digest 1 Communications on Applied Nonlinear Analysis 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Nonlinear Dynamics and Systems Theory
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#### Fields

 68 Ordinary differential equations (34-XX) 23 Integral equations (45-XX) 18 Systems theory; control (93-XX) 15 Numerical analysis (65-XX) 13 Real functions (26-XX) 11 General and overarching topics; collections (00-XX) 11 Operator theory (47-XX) 7 Difference and functional equations (39-XX) 5 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-XX) 3 Mechanics of particles and systems (70-XX) 3 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

83 Publications have been cited 1,239 times in 1,058 Documents Cited by Year
Dynamic systems on measure chains. Zbl 0869.34039
Lakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B.
1996
Vector Lyapunov functions and stability analysis of nonlinear systems. Zbl 0721.34054
Lakshmikantham, V.; Matrosov, V. M.; Sivasundaram, S.
1991
Nonlinear dynamics and chaos in fractional-order neural networks. Zbl 1254.34103
Kaslik, Eva; Sivasundaram, Seenith
2012
Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations. Zbl 1193.34056
2009
On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Zbl 1207.45014
2010
Existence of solutions for impulsive integral boundary value problems of fractional order. Zbl 1187.34038
2010
Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions. Zbl 1239.44001
Kaslik, Eva; Sivasundaram, Seenith
2012
The monotone iterative technique for impulsive hybrid set valued integro-differential equations. Zbl 1111.45006
2006
Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis. Zbl 1225.93073
Kaslik, Eva; Sivasundaram, Seenith
2011
Multiple periodic solutions in impulsive hybrid neural networks with delays. Zbl 1225.34071
Kaslik, Eva; Sivasundaram, Seenith
2011
Controllability of impulsive differential equations. Zbl 0785.93016
Leela, S.; McRae, Farzana A.; Sivasundaram, S.
1993
Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions. Zbl 1180.34003
2009
Analytical and numerical methods for the stability analysis of linear fractional delay differential equations. Zbl 1250.65099
Kaslik, Eva; Sivasundaram, Seenith
2012
Multistability in impulsive hybrid Hopfield neural networks with distributed delays. Zbl 1221.34219
Kaslik, Eva; Sivasundaram, Seenith
2011
Extensions of the method of quasilinearization. Zbl 0837.65068
Lakshmikantham, V.; Leela, S.; Sivasundaram, S.
1995
Dynamics and stability of impulsive hybrid set-valued integro-differential equations with delay. Zbl 1114.34062
2006
Lyapunov functions on product spaces and stability theory of delay differential equations. Zbl 0781.34050
Lakshmikantham, V.; Leela, S.; Sivasundaram, S.
1991
Ulam stability for partial fractional differential inclusions with multiple delays and impulses via Picard operators. Zbl 1302.35394
Abbas, Saïd; Benchohra, Mouffak; Sivasundaram, Seenith
2013
Some existence results for fractional integro-differential equations with nonlinear conditions. Zbl 1179.45009
2008
Controllability of impulsive hybrid integro-differential systems. Zbl 1163.93011
Sivasundaram, S.; Uvah, Josaphat
2008
Existence results and monotone iterative technique for impulsive hybrid functional differential systems with anticipation and retardation. Zbl 1142.34049
2008
Stability of Volterra integro-differential equations with impulsive effect. Zbl 0755.45014
Rama Mohana Rao, M.; Srivastava, Sanjay K.; Sivasundaram, S.
1992
A unified approach to stability in integrodifferential equations via Liapunov functions. Zbl 0689.45016
Elaydi, Saber; Sivasundaram, S.
1989
Stability of moving invariant sets and uncertain dynamic systems on time scales. Zbl 0933.93058
Lakshmikantham, V.; Sivasundaram, S.
1998
Solving linear programming problems exactly. Zbl 0872.65047
Lakshmikantham, V.; Maulloo, A. K.; Sen, S. K.; Sivasundaram, S.
1997
Impulsive differential systems for two-point boundary value problems. Zbl 0769.34022
Lakshmikantham, V.; Murty, K. N.; Sivasundaram, S.
1992
Dynamics and stability of pantograph equations via Hilfer fractional derivative. Zbl 1357.34020
Vivek, D.; Kanagarajan, K.; Sivasundaram, S.
2016
Generalized quasilinearization method for nonlinear functional differential equations. Zbl 1048.34105
Ahmad, Bashir; Ali Khan, Rehmat; Sivasundaram, S.
2003
Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers-Huxley equation. Zbl 1362.35036
Alquran, Marwan; Al-Khaled, Kamel; Sivasundaram, Seenith; Jaradat, H. M.
2017
Elegant scheme for solving Caputo-time-fractional integro-differential equations. Zbl 1398.45005
2018
Generalized quasilinearization method for a first order differential equation with integral boundary condition. Zbl 1084.34007
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2005
Nonlinear variation of parameters formula for dynamical systems on measure chains. Zbl 0887.58047
Lakshmikantham, V.; Shahzad, N.; Sivasundaram, S.
1995
Two point boundary value problems associated with a system of first order nonlinear impulse differential equations. Zbl 0802.34024
Murty, K. N.; Howell, G. W.; Sivasundaram, S.
1993
Stability properties of the Hopfield-type neural networks. Zbl 0795.93086
Köksal, S.; Sivasundaram, S.
1993
Existence and uniqueness of solutions to three-point boundary value problems associated with nonliner first order systems of differential equations. Zbl 0782.34027
Murty, K. N.; Sivasundaram, S.
1993
Two (multi) point nonlinear Lyapunov systems — existence and uniqueness. Zbl 0760.34024
Murty, K. N.; Howell, G. W.; Sivasundaram, S.
1992
Dynamics and Ulam stability for Hilfer type fractional differential equations. Zbl 1357.34008
Abbas, Saïd; Benchohra, Mouffak; Sivasundaram, Seenith
2016
Dynamics and stability of Fredholm type fractional order Hadamard integral equations. Zbl 1351.26008
Abbas, Saïd; Albarakati, Wafaa A.; Benchohra, Mouffak; Sivasundaram, Seenith
2015
Theory of fractional differential equations with three-point boundary conditions. Zbl 1180.34004
2008
Some basic results for fractional functional integro-differential equations. Zbl 1180.45004
2008
Setvalued perturbed hybrid integro-differential equations and stability in terms of two measures. Zbl 1151.45006
2007
Stability and attractivity of solutions of differential equations with impulses at fixed times. Zbl 0995.34041
Sivasundaram, S.; Vassilyev, S.
2000
Asymptotic behavior of solutions of impulsive integrodifferential systems. Zbl 0738.45006
Rao, M. Rama Mohana; Sathananthan, S.; Sivasundaram, S.
1989
The method of upper and lower solutions and interval method for first order differential equations. Zbl 0622.34006
Lakshmikantham, V.; Sivasundaram, S.
1987
Theory and analysis of nonlinear neutral pantograph equations via Hilfer fractional derivative. Zbl 1375.34014
Vivek, D.; Kanagarajan, K.; Sivasundaram, Seenith
2017
Novel fractional order particle swarm optimization. Zbl 1410.90176
Couceiro, Micael; Sivasundaram, Seenith
2016
Existence and approximation of solutions of forced Duffing type integro-differential equations with three-point nonlinear boundary conditions. Zbl 1205.65330
2010
$$\phi_0$$-stability of impulsive hybrid setvalued differential equations with delay by perturbing Lyapunov functions. Zbl 1185.34102
2008
Stability in terms of two measures for setvalued perturbed impulsive delay differential equations. Zbl 1161.34043
2008
Stability of dynamic systems on the time scales. Zbl 1027.34059
Sivasundaram, S.
2002
Concise row-pruning algorithm to invert a matrix. Zbl 0801.65020
Lakshmikantham, V.; Sen, S. K.; Sivasundaram, S.
1994
Stabilizing Trench’s algorithm to invert symmetric Toeplitz matrices. Zbl 0794.65018
Lakshmikantham, V.; Sen, S. K.; Venkaiah, V. C.; Sivasundaram, S.
1994
An inequality sorting algorithm for a class of linear programming problems. Zbl 0778.90036
Lakshmikantham, V.; Sen, S. K.; Sivasundaram, S.
1993
Vector Lyapunov functions and the technique in perturbation theory. Zbl 0765.34033
Rajalaksmy, S.; Sivasundaram, S.
1992
Stability of Volterra system with impulsive effect. Zbl 0724.45009
Ramamohana Rao, M.; Sivasundaram, S.
1991
Preface: New developments in computational techniques and transform theory applications to nonlinear fractional and stochastic differential equations and systems. Zbl 1332.00043
Belgacem, Fethi Bin Muhammad (ed.); Sivasundaram, Seenith (ed.)
2015
Nonlocal four-point integral boundary value problem of nonlinear fractional differential equations and existence results. Zbl 1263.26012
2012
Instability criteria for impulsive hybrid state dependent delay integrodifferential systems. Zbl 1187.34095
2010
On the generalization of second order nonlinear anti-periodic boundary value problems. Zbl 1188.34022
Alsaedi, Ahmed; Sivasundaram, S.; Ahmad, Bashir
2009
Instability of nonautonomous state-dependent delay integro-differential systems. Zbl 1112.34053
2006
Extended quasilinearization method for boundary value problems. Zbl 0832.34008
1995
Stability of nonlinear systems under constantly acting perturbations. Zbl 0824.34058
Liu, Xinzhi; Sivasundaram, S.
1995
Dynamic systems on time scales and superlinear convergence of iterative process. Zbl 0884.58084
Leela, S.; Sivasundaram, S.
1994
On the direct method of Lyapunov in terms of two measures. Zbl 0778.34040
Liu, Xinzhi; Sivasundaram, S.
1992
Application of interval analysis to impulsive differential equations. Zbl 0752.65058
Sivasundaram, S.; Sun, Yong
1992
Asymptotic stability for equations with unbounded delay. Zbl 0646.45010
Rao, M. Rama Mohana; Sivasundaram, S.
1988
The method of upper and lower solutions and the interval method for second order differential equations. Zbl 0656.34015
Sivasundaram, S.
1987
On the behavior of solutions of fractional differential equations on time scale via Hilfer fractional derivatives. Zbl 1425.34027
Vivek, Devaraj; Kanagarajan, Kuppusamy; Sivasundaram, Seenith
2018
Stability analysis and dynamics of impulsive differential equations under Hilfer fractional derivative. Zbl 1400.26013
Harikrishnan, S.; Kanagarajan, K.; Sivasundaram, Seenith
2018
On the solution of set random dynamic equations on time scales. Zbl 1311.34176
Ho, Vu; Sivasundaram, Seenith
2014
Existence results for a fully nonlinear nonlocal fractional boundary value problem. Zbl 1293.34006
2013
$$K$$-th order monotone iterative scheme for boundary value problems associated with second order nonlinear functional differential equations. Zbl 1100.34051
Ahmad, Bashir; Ali Khan, Rahmat; Sivasundaram, S.
2005
Generalized quasilinearization method for nonlinear boundary value problems. Zbl 1091.34505
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2002
Generalized quasilinearization method for integro-differential equations. Zbl 1001.65143
Ahmad, Bashir; Khan, Rehmat Ali; Sivasundaram, S.
2001
The strict stability of dynamic systems on time scales. Zbl 0996.34043
Sivasundaram, S.
2001
On controllability of nonlinear systems under phase restrictions and persistent perturbations. Zbl 0927.93017
Sivasundaram, S.; Vassilyev, S. N.
1998
A survey of the work of S. Leela. Zbl 0923.01028
Martynyuk, A. A.; Sivasundaram, S.
1997
Barnes’ algorithm for linear programming: On detection of basic variables. Zbl 0899.90128
Sen, S. K.; Sivasundaram, S.; Venkaiah, V. Ch.
1996
Controllability and observability of nonlinear integro-differential systems. Zbl 0866.93010
Sivasundaram, S.
1996
Further generalization of quasilinearization method for boundary value problems. Zbl 0855.34014
1995
A stable algorithm for symmetric singular Toeplitz systems. Zbl 0809.65017
Sen, S. K.; Sivasundaram, S.; Venkaiah, V. Ch.
1994
Variational Lyapunov second method. Zbl 0826.34048
Rajalaksmi, S.; Sivasundaram, S.
1993
Application of weighted Moore-Penrose inverse to two-point boundary value problems. Zbl 0785.34020
Murthy, K. N.; Sivasundaram, S.
1992
Elegant scheme for solving Caputo-time-fractional integro-differential equations. Zbl 1398.45005
2018
On the behavior of solutions of fractional differential equations on time scale via Hilfer fractional derivatives. Zbl 1425.34027
Vivek, Devaraj; Kanagarajan, Kuppusamy; Sivasundaram, Seenith
2018
Stability analysis and dynamics of impulsive differential equations under Hilfer fractional derivative. Zbl 1400.26013
Harikrishnan, S.; Kanagarajan, K.; Sivasundaram, Seenith
2018
Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers-Huxley equation. Zbl 1362.35036
Alquran, Marwan; Al-Khaled, Kamel; Sivasundaram, Seenith; Jaradat, H. M.
2017
Theory and analysis of nonlinear neutral pantograph equations via Hilfer fractional derivative. Zbl 1375.34014
Vivek, D.; Kanagarajan, K.; Sivasundaram, Seenith
2017
Dynamics and stability of pantograph equations via Hilfer fractional derivative. Zbl 1357.34020
Vivek, D.; Kanagarajan, K.; Sivasundaram, S.
2016
Dynamics and Ulam stability for Hilfer type fractional differential equations. Zbl 1357.34008
Abbas, Saïd; Benchohra, Mouffak; Sivasundaram, Seenith
2016
Novel fractional order particle swarm optimization. Zbl 1410.90176
Couceiro, Micael; Sivasundaram, Seenith
2016
Dynamics and stability of Fredholm type fractional order Hadamard integral equations. Zbl 1351.26008
Abbas, Saïd; Albarakati, Wafaa A.; Benchohra, Mouffak; Sivasundaram, Seenith
2015
Preface: New developments in computational techniques and transform theory applications to nonlinear fractional and stochastic differential equations and systems. Zbl 1332.00043
Belgacem, Fethi Bin Muhammad (ed.); Sivasundaram, Seenith (ed.)
2015
On the solution of set random dynamic equations on time scales. Zbl 1311.34176
Ho, Vu; Sivasundaram, Seenith
2014
Ulam stability for partial fractional differential inclusions with multiple delays and impulses via Picard operators. Zbl 1302.35394
Abbas, Saïd; Benchohra, Mouffak; Sivasundaram, Seenith
2013
Existence results for a fully nonlinear nonlocal fractional boundary value problem. Zbl 1293.34006
2013
Nonlinear dynamics and chaos in fractional-order neural networks. Zbl 1254.34103
Kaslik, Eva; Sivasundaram, Seenith
2012
Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions. Zbl 1239.44001
Kaslik, Eva; Sivasundaram, Seenith
2012
Analytical and numerical methods for the stability analysis of linear fractional delay differential equations. Zbl 1250.65099
Kaslik, Eva; Sivasundaram, Seenith
2012
Nonlocal four-point integral boundary value problem of nonlinear fractional differential equations and existence results. Zbl 1263.26012
2012
Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis. Zbl 1225.93073
Kaslik, Eva; Sivasundaram, Seenith
2011
Multiple periodic solutions in impulsive hybrid neural networks with delays. Zbl 1225.34071
Kaslik, Eva; Sivasundaram, Seenith
2011
Multistability in impulsive hybrid Hopfield neural networks with distributed delays. Zbl 1221.34219
Kaslik, Eva; Sivasundaram, Seenith
2011
On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order. Zbl 1207.45014
2010
Existence of solutions for impulsive integral boundary value problems of fractional order. Zbl 1187.34038
2010
Existence and approximation of solutions of forced Duffing type integro-differential equations with three-point nonlinear boundary conditions. Zbl 1205.65330
2010
Instability criteria for impulsive hybrid state dependent delay integrodifferential systems. Zbl 1187.34095
2010
Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations. Zbl 1193.34056
2009
Existence and uniqueness results for nonlinear boundary value problems of fractional differential equations with separated boundary conditions. Zbl 1180.34003
2009
On the generalization of second order nonlinear anti-periodic boundary value problems. Zbl 1188.34022
Alsaedi, Ahmed; Sivasundaram, S.; Ahmad, Bashir
2009
Some existence results for fractional integro-differential equations with nonlinear conditions. Zbl 1179.45009
2008
Controllability of impulsive hybrid integro-differential systems. Zbl 1163.93011
Sivasundaram, S.; Uvah, Josaphat
2008
Existence results and monotone iterative technique for impulsive hybrid functional differential systems with anticipation and retardation. Zbl 1142.34049
2008
Theory of fractional differential equations with three-point boundary conditions. Zbl 1180.34004
2008
Some basic results for fractional functional integro-differential equations. Zbl 1180.45004
2008
$$\phi_0$$-stability of impulsive hybrid setvalued differential equations with delay by perturbing Lyapunov functions. Zbl 1185.34102
2008
Stability in terms of two measures for setvalued perturbed impulsive delay differential equations. Zbl 1161.34043
2008
Setvalued perturbed hybrid integro-differential equations and stability in terms of two measures. Zbl 1151.45006
2007
The monotone iterative technique for impulsive hybrid set valued integro-differential equations. Zbl 1111.45006
2006
Dynamics and stability of impulsive hybrid set-valued integro-differential equations with delay. Zbl 1114.34062
2006
Instability of nonautonomous state-dependent delay integro-differential systems. Zbl 1112.34053
2006
Generalized quasilinearization method for a first order differential equation with integral boundary condition. Zbl 1084.34007
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2005
$$K$$-th order monotone iterative scheme for boundary value problems associated with second order nonlinear functional differential equations. Zbl 1100.34051
Ahmad, Bashir; Ali Khan, Rahmat; Sivasundaram, S.
2005
Generalized quasilinearization method for nonlinear functional differential equations. Zbl 1048.34105
Ahmad, Bashir; Ali Khan, Rehmat; Sivasundaram, S.
2003
Stability of dynamic systems on the time scales. Zbl 1027.34059
Sivasundaram, S.
2002
Generalized quasilinearization method for nonlinear boundary value problems. Zbl 1091.34505
Ahmad, Bashir; Khan, Rahmat Ali; Sivasundaram, S.
2002
Generalized quasilinearization method for integro-differential equations. Zbl 1001.65143
Ahmad, Bashir; Khan, Rehmat Ali; Sivasundaram, S.
2001
The strict stability of dynamic systems on time scales. Zbl 0996.34043
Sivasundaram, S.
2001
Stability and attractivity of solutions of differential equations with impulses at fixed times. Zbl 0995.34041
Sivasundaram, S.; Vassilyev, S.
2000
Stability of moving invariant sets and uncertain dynamic systems on time scales. Zbl 0933.93058
Lakshmikantham, V.; Sivasundaram, S.
1998
On controllability of nonlinear systems under phase restrictions and persistent perturbations. Zbl 0927.93017
Sivasundaram, S.; Vassilyev, S. N.
1998
Solving linear programming problems exactly. Zbl 0872.65047
Lakshmikantham, V.; Maulloo, A. K.; Sen, S. K.; Sivasundaram, S.
1997
A survey of the work of S. Leela. Zbl 0923.01028
Martynyuk, A. A.; Sivasundaram, S.
1997
Dynamic systems on measure chains. Zbl 0869.34039
Lakshmikantham, V.; Sivasundaram, S.; Kaymakcalan, B.
1996
Barnes’ algorithm for linear programming: On detection of basic variables. Zbl 0899.90128
Sen, S. K.; Sivasundaram, S.; Venkaiah, V. Ch.
1996
Controllability and observability of nonlinear integro-differential systems. Zbl 0866.93010
Sivasundaram, S.
1996
Extensions of the method of quasilinearization. Zbl 0837.65068
Lakshmikantham, V.; Leela, S.; Sivasundaram, S.
1995
Nonlinear variation of parameters formula for dynamical systems on measure chains. Zbl 0887.58047
Lakshmikantham, V.; Shahzad, N.; Sivasundaram, S.
1995
Extended quasilinearization method for boundary value problems. Zbl 0832.34008
1995
Stability of nonlinear systems under constantly acting perturbations. Zbl 0824.34058
Liu, Xinzhi; Sivasundaram, S.
1995
Further generalization of quasilinearization method for boundary value problems. Zbl 0855.34014
1995
Concise row-pruning algorithm to invert a matrix. Zbl 0801.65020
Lakshmikantham, V.; Sen, S. K.; Sivasundaram, S.
1994
Stabilizing Trench’s algorithm to invert symmetric Toeplitz matrices. Zbl 0794.65018
Lakshmikantham, V.; Sen, S. K.; Venkaiah, V. C.; Sivasundaram, S.
1994
Dynamic systems on time scales and superlinear convergence of iterative process. Zbl 0884.58084
Leela, S.; Sivasundaram, S.
1994
A stable algorithm for symmetric singular Toeplitz systems. Zbl 0809.65017
Sen, S. K.; Sivasundaram, S.; Venkaiah, V. Ch.
1994
Controllability of impulsive differential equations. Zbl 0785.93016
Leela, S.; McRae, Farzana A.; Sivasundaram, S.
1993
Two point boundary value problems associated with a system of first order nonlinear impulse differential equations. Zbl 0802.34024
Murty, K. N.; Howell, G. W.; Sivasundaram, S.
1993
Stability properties of the Hopfield-type neural networks. Zbl 0795.93086
Köksal, S.; Sivasundaram, S.
1993
Existence and uniqueness of solutions to three-point boundary value problems associated with nonliner first order systems of differential equations. Zbl 0782.34027
Murty, K. N.; Sivasundaram, S.
1993
An inequality sorting algorithm for a class of linear programming problems. Zbl 0778.90036
Lakshmikantham, V.; Sen, S. K.; Sivasundaram, S.
1993
Variational Lyapunov second method. Zbl 0826.34048
Rajalaksmi, S.; Sivasundaram, S.
1993
Stability of Volterra integro-differential equations with impulsive effect. Zbl 0755.45014
Rama Mohana Rao, M.; Srivastava, Sanjay K.; Sivasundaram, S.
1992
Impulsive differential systems for two-point boundary value problems. Zbl 0769.34022
Lakshmikantham, V.; Murty, K. N.; Sivasundaram, S.
1992
Two (multi) point nonlinear Lyapunov systems — existence and uniqueness. Zbl 0760.34024
Murty, K. N.; Howell, G. W.; Sivasundaram, S.
1992
Vector Lyapunov functions and the technique in perturbation theory. Zbl 0765.34033
Rajalaksmy, S.; Sivasundaram, S.
1992
On the direct method of Lyapunov in terms of two measures. Zbl 0778.34040
Liu, Xinzhi; Sivasundaram, S.
1992
Application of interval analysis to impulsive differential equations. Zbl 0752.65058
Sivasundaram, S.; Sun, Yong
1992
Application of weighted Moore-Penrose inverse to two-point boundary value problems. Zbl 0785.34020
Murthy, K. N.; Sivasundaram, S.
1992
Vector Lyapunov functions and stability analysis of nonlinear systems. Zbl 0721.34054
Lakshmikantham, V.; Matrosov, V. M.; Sivasundaram, S.
1991
Lyapunov functions on product spaces and stability theory of delay differential equations. Zbl 0781.34050
Lakshmikantham, V.; Leela, S.; Sivasundaram, S.
1991
Stability of Volterra system with impulsive effect. Zbl 0724.45009
Ramamohana Rao, M.; Sivasundaram, S.
1991
A unified approach to stability in integrodifferential equations via Liapunov functions. Zbl 0689.45016
Elaydi, Saber; Sivasundaram, S.
1989
Asymptotic behavior of solutions of impulsive integrodifferential systems. Zbl 0738.45006
Rao, M. Rama Mohana; Sathananthan, S.; Sivasundaram, S.
1989
Asymptotic stability for equations with unbounded delay. Zbl 0646.45010
Rao, M. Rama Mohana; Sivasundaram, S.
1988
The method of upper and lower solutions and interval method for first order differential equations. Zbl 0622.34006
Lakshmikantham, V.; Sivasundaram, S.
1987
The method of upper and lower solutions and the interval method for second order differential equations. Zbl 0656.34015
Sivasundaram, S.
1987
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#### Cited by 1,301 Authors

 47 Ahmad, Bashir 25 Vaidyanathan, Sundarapandian 24 Agarwal, Ravi P. 24 Cao, Jinde 21 Ntouyas, Sotiris K. 18 Li, Wan-Tong 18 Sivasundaram, Seenith 17 Al-saedi, Ahmed Eid Salem 15 Nieto Roig, Juan Jose 15 Wang, Guotao 14 Sun, Hongrui 14 Wang, Peiguang 13 Benchohra, Mouffak 13 Chen, Haibo 13 Gou, Haide 13 Sun, Jianping 13 Wang, Jinrong 12 Henderson, Johnny 12 Lakshmikantham, Vangipuram 12 Zhang, Lihong 11 Erbe, Lynn Harry 10 Fečkan, Michal 10 Kaslik, Eva 10 Liu, Yuji 10 Su, Youhui 10 Zhang, Xianmin 10 Zhao, Yulin 9 Abbas, Said 9 Azar, Ahmad Taher 9 Eloe, Paul W. 9 Ge, Weigao 9 Li, Baolin 9 O’Regan, Donal 9 Tariboon, Jessada 9 Yu, Yongguang 9 Zhou, Yong 8 Akhmet, Marat Ubaydulla 8 Băleanu, Dumitru I. 8 Li, Yongkun 8 Liu, Zuohua 8 Sen, Syamal Kumar 8 Stamova, Ivanka Milkova 7 Bohner, Martin J. 7 Peterson, Allan C. 7 Shah, Kamal 7 Wang, Dabin 7 Wang, Hu 7 Zhang, Chao 7 Zhang, Qiming 6 Balachandran, Krishnan 6 Cabada, Alberto 6 Feng, Meiqiang 6 Graef, John R. 6 Hong, Shihuang 6 Jankowski, Tadeusz 6 Kong, Lingju 6 Liu, Wenbin 6 Liu, Xinzhi 6 Nersesov, Sergey G. 6 Nie, Xiaobing 6 Sun, Shurong 6 Vasundhara Devi, Jonnalagadda 6 Wong, Patricia J. Y. 6 Wu, Ranchao 6 Xia, Yonghui 6 Yaslan Karaca, Ilkay 5 Alquran, Marwan Taiseer 5 Čermák, Jan 5 Chyan, Chuan Jen 5 Guseinov, Gusein Sh. 5 He, Zhimin 5 Kanagarajan, Kuppusamy 5 Khan, Rahmat Ali 5 Khristova, Snezhana G. 5 Koo, Namjip 5 Laptinskij, V. N. 5 Ngo, Quoc Anh 5 Peng, Hui 5 Rakkiyappan, Rajan 5 Rynne, Bryan P. 5 Shu, Tong 5 Song, Qiankun 5 Stamov, Gani Trendafilov 5 Tokmak Fen, Fatma 5 Torres, Delfim Fernando Marado 5 Tuna, Hüseyin 5 Velmurugan, Guhan 5 Zeng, Zhigang 4 Anderson, Douglas Robert 4 Ardjouni, Abdelouaheb 4 Cao, Junfei 4 Chen, Liping 4 Choi, Sungkyu 4 Darwish, Mohamed Abdalla 4 Davidson, Fordyce A. 4 de la Sen, Manuel 4 Ding, Wenbin 4 Fan, Yonghong 4 Fu, Xi 4 Gu, Yajuan ...and 1,201 more Authors
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#### Cited in 174 Serials

 82 Advances in Difference Equations 67 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 65 Applied Mathematics and Computation 61 Journal of Mathematical Analysis and Applications 52 Abstract and Applied Analysis 41 Computers & Mathematics with Applications 38 Journal of Computational and Applied Mathematics 33 Applied Mathematics Letters 29 Mathematical and Computer Modelling 27 Neural Networks 26 Boundary Value Problems 24 Nonlinear Dynamics 18 Nonlinear Analysis. Real World Applications 16 Communications in Nonlinear Science and Numerical Simulation 16 Nonlinear Analysis. Theory, Methods & Applications 15 Fractional Calculus & Applied Analysis 15 Discrete Dynamics in Nature and Society 14 Journal of the Franklin Institute 13 Chaos, Solitons and Fractals 13 Journal of Applied Mathematics and Computing 13 Nonlinear Analysis. Hybrid Systems 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Journal of Applied Mathematics 10 Mathematical Problems in Engineering 10 Differential Equations 8 Applicable Analysis 8 Journal of Difference Equations and Applications 8 Fractional Differential Calculus 7 Mathematical Methods in the Applied Sciences 7 Journal of Nonlinear Science and Applications 6 Rocky Mountain Journal of Mathematics 6 Automatica 6 Results in Mathematics 6 Chaos 6 Mediterranean Journal of Mathematics 6 Open Mathematics 5 Journal of Differential Equations 5 Mathematics and Computers in Simulation 5 Complexity 5 International Journal of Nonlinear Sciences and Numerical Simulation 4 Ukrainian Mathematical Journal 4 Czechoslovak Mathematical Journal 4 Automation and Remote Control 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Inequalities and Applications 4 International Journal of Applied Mathematics and Computer Science 4 Nonlinear Analysis. Modelling and Control 4 Journal of Function Spaces 3 International Journal of Control 3 Systems & Control Letters 3 MCSS. Mathematics of Control, Signals, and Systems 3 International Applied Mechanics 3 Computational and Applied Mathematics 3 Journal of Mathematical Chemistry 3 Positivity 3 Soft Computing 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 3 Fixed Point Theory and Applications 3 Communications in Mathematical Analysis 3 Advances in Mathematical Physics 3 Journal of Pseudo-Differential Operators and Applications 3 Journal of Mathematics 3 Nonautonomous Dynamical Systems 3 International Journal of Applied and Computational Mathematics 2 International Journal of Systems Science 2 Acta Mathematica Vietnamica 2 BIT 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Stochastic Analysis and Applications 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Applied Mathematics. Series B (English Edition) 2 Random Operators and Stochastic Equations 2 Differential Equations and Dynamical Systems 2 Stochastics and Dynamics 2 European Journal of Pure and Applied Mathematics 2 Asian-European Journal of Mathematics 2 International Journal of Biomathematics 2 Advances in Differential Equations and Control Processes 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Applied Analysis and Computation 2 Mathematical Sciences 2 Advances in Nonlinear Analysis 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Physics Letters. A 1 Physics Reports 1 Reports on Mathematical Physics 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal ...and 74 more Serials
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#### Cited in 43 Fields

 830 Ordinary differential equations (34-XX) 188 Systems theory; control (93-XX) 155 Difference and functional equations (39-XX) 154 Operator theory (47-XX) 123 Real functions (26-XX) 109 Biology and other natural sciences (92-XX) 72 Integral equations (45-XX) 62 Dynamical systems and ergodic theory (37-XX) 59 Numerical analysis (65-XX) 57 Partial differential equations (35-XX) 21 Probability theory and stochastic processes (60-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Computer science (68-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Operations research, mathematical programming (90-XX) 7 Special functions (33-XX) 6 Measure and integration (28-XX) 5 Mechanics of particles and systems (70-XX) 4 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 4 Integral transforms, operational calculus (44-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)