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Vatsala, Aghalaya S.

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Author ID: vatsala.aghalaya-s Recent zbMATH articles by "Vatsala, Aghalaya S."
Published as: Vatsala, A. S.; Vatsala, Aghalaya S.; Vatsala, Aghalaya
External Links: MGP
Documents Indexed: 150 Publications since 1973, including 2 Books
Co-Authors: 67 Co-Authors with 126 Joint Publications
965 Co-Co-Authors
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Serials

11 Dynamic Systems and Applications
10 Applicable Analysis
10 Applied Mathematics and Computation
10 Nonlinear Studies
8 Journal of Mathematical Analysis and Applications
6 Communications in Applied Analysis
6 Nonlinear Dynamics and Systems Theory
5 Neural, Parallel & Scientific Computations
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of Applied Mathematics and Stochastic Analysis
3 Computers & Mathematics with Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Journal of Computational and Applied Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Applied Mathematics Letters
2 Opuscula Mathematica
2 Journal of Difference Equations and Applications
2 Dynamics of Continuous, Discrete and Impulsive Systems
2 Boundary Value Problems
2 Mathematics
1 Journal of the Korean Mathematical Society
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Journal of Integral Equations
1 Note di Matematica
1 Journal of Applied Mathematics and Simulation
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Facta Universitatis. Series Mechanics, Automatic Control and Robotics
1 Nonlinear Times and Digest
1 Nonlinear World
1 Journal of Inequalities and Applications
1 Neliniĭni Kolyvannya
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Mathematics and its Applications (Dordrecht)
1 International Journal of Difference Equations
1 Involve
1 International Journal of Qualitative Theory of Differential Equations and Applications
1 International Journal of Differential Equations
1 Journal of Fractional Calculus and Applications
1 Mathematical Sciences
1 Monographs, Advanced Texts and Surveys in Pure and Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 1,937 times in 1,457 Documents Cited by Year
Basic theory of fractional differential equations. Zbl 1161.34001
Lakshmikantham, V.; Vatsala, A. S.
493
2008
Monotone iterative techniques for nonlinear differential equations. Zbl 0658.35003
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
467
1985
General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031
Lakshmikantham, V.; Vatsala, A. S.
165
2008
Generalized quasilinearization for nonlinear problems. Zbl 0997.34501
Lakshmikantham, V.; Vatsala, A. S.
119
1998
Theory of fractional differential inequalities and applications. Zbl 1159.34006
Lakshmikantham, V.; Vatsala, A. S.
116
2007
Fractional integral inequalities and applications. Zbl 1189.26044
Denton, Z.; Vatsala, A. S.
40
2010
Interconnection between set and fuzzy differential equations. Zbl 1029.34049
Laksmikantham, V.; Leela, S.; Vatsala, A. S.
37
2003
Hybrid systems on time scales. Zbl 1032.34050
Lakshmikantham, V.; Vatsala, A. S.
32
2002
Monotone iterative technique for fractional differential equations with periodic boundary conditions. Zbl 1197.26007
Ramírez, J. D.; Vatsala, A. S.
28
2009
Green’s function for n-n boundary value problem and an analogue of Hartman’s result. Zbl 0312.34011
Das, K. M.; Vatsala, A. S.
19
1975
Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations. Zbl 1232.34012
Denton, Z.; Vatsala, A. S.
18
2011
Differential inequalities with initial time difference and applications. Zbl 0933.34007
Lakshmikantham, V.; Vatsala, A. S.
17
1999
Periodic boundary value problems of impulsive differential equations. Zbl 0753.34008
Vatsala, A. S.; Sun, Yong
15
1992
Generalized monotone iterative technique for Caputo fractional differential equation with periodic boundary condition via initial value problem. Zbl 1267.34011
Ramírez, J. Diego; Vatsala, A. S.
15
2012
Basic theory of fuzzy difference equations. Zbl 1023.39008
Lakshmikantham, V.; Vatsala, A. S.
15
2002
Existence of coupled quasi-solutions of systems of nonlinear elliptic boundary value problems. Zbl 0575.35033
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
15
1984
Method of quasi-upper and lower solutions in abstract cones. Zbl 0497.34047
Lakshmikantham, V.; Leela, S.; Vatsala, A. S.
13
1982
Existence of coupled quasi-solutions of systems of nonlinear reaction- diffusion equations. Zbl 0589.35061
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
13
1985
Monotone iterative technique for semilinear elliptic systems. Zbl 1143.65388
Vatsala, A. S.; Yang, Jie
11
2005
Generalized monotone iterative method for initial value problems. Zbl 1112.34304
West, I. H.; Vatsala, A. S.
11
2004
Generalized quasilinearization versus Newton method. Zbl 1078.65037
Lakshmikantham, V.; Vatsala, A. S.
11
2005
Set differential equations and monotone flows. Zbl 1090.34064
Lakshmikantham, V.; Vatsala, A. S.
11
2003
Impulsive quenching for reaction-diffusion equations. Zbl 0810.35039
Chan, C. Y.; Ke, L.; Vatsala, A. S.
10
1994
Monotone method for integrodifferential equations with periodic boundary conditions. Zbl 0605.45007
Kaul, Saroop K.; Vatsala, A. S.
10
1986
Generalized quasilinearization method and higher order of convergence for second-order boundary value problems. Zbl 1135.34005
Melton, Tanya G.; Vatsala, A. S.
9
2006
On Green’s function of an n-point boundary value problem. Zbl 0275.34017
Das, K. M.; Vatsala, A. S.
9
1973
Monotone iterative technique for partial differential equations of first order. Zbl 0566.35016
Lakshmikantham, V.; Oguztöreli, M. N.; Vatsala, A. S.
9
1984
Quasilinearization method via lower and upper solutions for Riemann-Liouville fractional differential equations. Zbl 1237.34006
Denton, Z.; Ng, P. W.; Vatsala, A. S.
9
2011
Basic results for sequential Caputo fractional differential equations. Zbl 1315.34015
Sambandham, Bhuvaneswari; Vatsala, Aghalaya S.
9
2015
Improved generalized quasilinearization method for second order boundary value problem. Zbl 0820.34008
Shahzad, N.; Vatsala, A. S.
8
1995
Extension of the method of generalized quasilinearization for second order boundary value problems. Zbl 0831.34031
Shahzad, N.; Vatsala, A. S.
8
1995
On the existence of periodic quasi-solutions for first order systems. Zbl 0526.34029
Vatsala, A. S.
7
1983
Stability of moving invariant sets. Zbl 0947.34039
Lakshmikantham, V.; Vatsala, A. S.
7
1997
Generalized quasilinearization for an impulsive differential equation with variable moments of impulse. Zbl 1048.34028
Vasundara Devi, J.; Vatsala, A. S.
7
2003
Inverse problem for coefficient identification in the Euler-Bernoulli equation. Zbl 1155.34356
Marinov, Tchavdar T.; Vatsala, Aghalaya S.
7
2008
Existence and comparison results for a class of Volterra integral equations of Sobolev type. Zbl 0458.45005
Lakshmikantham, V.; Vatsala, A. S.; Vaughn, R. L.
6
1979
A unified exhaustive study of monotone iterative method for initial value problems. Zbl 1094.34503
Sokol, Michael; Vatsala, A. S.
6
2001
Monotone iterative technique for impulsive set differential equations. Zbl 1080.34004
Vasundhara Devi, J.; Vatsala, A. S.
6
2004
A study of set differential equations with delay. Zbl 1069.34112
Vasundhara Devi, J.; Vatsala, A. S.
6
2004
Monotone method for nonlinear Caputo fractional boundary value problems. Zbl 1234.26019
Ramírez, J. D.; Vatsala, A. S.
6
2011
Stability results for solutions of reaction diffusion systems by the method of quasisolutions. Zbl 0443.34024
Lakshmikantham, V.; Vatsala, A. S.
5
1981
Method of generalized quasilinearization for second order boundary value problems. Zbl 0882.34026
Malek, S.; Vatsala, A. S.
5
1994
Existence of fixed points of fuzzy mappings via theory of fuzzy differential equations. Zbl 0943.34051
Lakshmikantham, V.; Vatsala, A. S.
4
2000
Existence and asymptotic behavior of reaction-diffusion systems via coupled quasi-solutions. Zbl 0513.35040
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
4
1982
Existence and comparison results for differential equations of Sobolev type. Zbl 0435.34005
Vatsala, A. S.; Vaughn, R. L.
4
1980
Composite boundedness and stability results by perturbing Lyapunov functions. Zbl 0842.34057
Stutson, Donna; Vatsala, A. S.
4
1996
Impulsive hybrid fuzzy differential equations. Zbl 1051.93060
Vatsala, A. S.
4
2003
Picard’s iterative method for Caputo fractional differential equations with numerical results. Zbl 06898694
Lyons, Rainey; Vatsala, Aghalaya S.; Chiquet, Ross A.
4
2017
Variation of parameters in terms of Lyapunov-like functions and stability of perturbed systems. Zbl 0930.34039
Liu, Xinzhi; Vatsala, A. S.
3
1998
Generalized monotone technique for an impulsive differential equation with variable moments of impulse. Zbl 1022.34005
Vatsala, A. S.; Vasundara Devi, J.
3
2002
Dynamic systems on time scales and generalized quasilinearization. Zbl 0873.34007
Leela, S.; Vatsala, A. S.
3
1996
Global stability of sets for linear impulsive differential-difference equations with variable impulsive perturbations. Zbl 0866.34007
Bainov, Drumi; Stamova, Ivanka; Vatsala, Aghalaya
3
1996
Improved generalized quasilinearization method and rapid convergence for reaction diffusion equations. Zbl 1180.65131
Melton, Tanya G.; Vatsala, A. S.
3
2008
Generalized quasilinearization and semilinear elliptic boundary value problems. Zbl 0959.35062
Lakshmikantham, V.; Vatsala, A. S.
3
2000
Theory of differential and integral inequalities with initial time difference and applications. Zbl 0988.34008
Lakshmikantham, V.; Vatsala, A. S.
3
1999
Generalized iterative methods for Caputo fractional differential equations via coupled lower and upper solutions with superlinear convergence. Zbl 1327.34009
Sowmya, M.; Vatsala, A. S.
3
2015
The quasilinearization method in the system of reaction-diffusion equations. Zbl 0943.65108
Jiang, Jiahui; Vatsala, A. S.
2
1998
The method of generalized quasilinearization and its applications. Zbl 0931.34009
Lakshmikantham, V.; Vatsala, A. S.
2
1999
The generalized quasi-linearization method for reaction diffusion equations on an unbounded domain. Zbl 0938.35076
Vatsala, A. S.; Wang, Liwen
2
1999
Generalized quasilinearization method for first order periodic boundary value problem with fixed moments of impulses. Zbl 0934.34006
Vatsala, A. S.; Shobha Rani, V.; Vasundara Devi, J.
2
1999
The present state of UAS for Volterra and delay equations. Zbl 0957.45016
Lakshmikantham, V.; Vatsala, A. S.
2
2000
Existence of extremal solutions and comparison results for delay differential equations in abstract cones. Zbl 0507.34063
Vatsala, A. S.; Vaughn, R. L.
2
1981
Comparison results for first and second order boundary value problems at resonance. Zbl 0542.34019
Shendge, G. R.; Vatsala, A. S.
2
1983
Monotone method for equations describing transport phenomena in a Banach space. Zbl 0476.65038
Pachpatte, B. G.; Vatsala, A. S.
2
1981
Strict stability criteria for dynamic systems on time scales. Zbl 0903.34050
Vatsala, A. S.
2
1998
Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations. Zbl 1158.34013
Hristova, S. G.; Vatsala, A. S.
2
2006
Generalized quasilinearization and reaction diffusion equations. Zbl 0819.35078
Vatsala, A. S.
2
1994
Monotone method for first order singular systems with boundary conditions. Zbl 0697.34015
Uvah, J. A.; Vatsala, A. S.
2
1989
Quadratic and semi-quadratic convergence of IVP. Zbl 1060.65615
Stutson, Donna; Vatsala, A. S.
2
1995
Stability in terms of two measures of hybrid systems with partially visible solutions. Zbl 1088.34049
Lakshmikanthama, V.; Vasundhara Devi, J.; Vatsala, A. S.
2
2005
Monotone iterative technique for singular systems of differential equations. Zbl 0649.34021
Vatsala, A. S.
2
1987
Generalized quasilinearization method for RL fractional differential equations. Zbl 1400.34005
Denton, Z.; Vatsala, A. S.
2
2012
Quasilinearization for second order singular boundary value problems with solutions in weighted spaces. Zbl 0970.34016
Vasundhara Devi, J.; Vatsala, A. S.
2
2000
Generalized monotone method for ordinary and Caputo fractional differential equations. Zbl 1336.34019
Vatsala, Aghalaya S.; Sowmya, M.; Stutson, Donna S.
2
2015
Generalized monontone iterative technique for functional differential equations with retardation and anticipation. Zbl 1310.34090
Vatsala, A. S.
1
2007
An extension of quasilinearization to reaction diffusion equations with fixed moments of impulses. Zbl 0952.35063
Drici, Zahia; Kouhestani, Nader; Vatsala, A. S.
1
2000
Method of mixed monotony for nonlinear equations with a singular linear part. Zbl 0632.65060
Lakshmikantham, V.; Vatsala, A. S.
1
1987
Comparison results of reaction-diffusion equations with delay in abstract cones. Zbl 0499.35010
Ahmad, Shair; Vatsala, A. S.
1
1981
Existence of solutions for a system of second order nonlinear periodic boundary value problems. Zbl 0506.34015
Rao, V. Sree Hari; Vatsala, A. S.
1
1983
Existence of coupled minimal and maximal periodic quasisolutions for systems of first order PBVP via quasisolutions. Zbl 0529.34050
Vatsala, A. S.
1
1984
Monotone method for a system of second order periodic boundary value problems. Zbl 0541.34009
Lakshmikantham, V.; Rao, V. Sree Hari; Vatsala, A. S.
1
1984
Generalized practical stability results by perturbing Lyapunov functions. Zbl 0851.34052
Stutson, Donna; Vatsala, A. S.
1
1996
Generalized quasilinearization and first-order periodic boundary value problem. Zbl 0855.65091
Vatsala, A. S.; Stutson, Donna
1
1996
Generalized monotone method for Caputo fractional differential equation with periodic boundary condition. Zbl 1227.34021
Ramírez, J. Diego; Vatsala, Aghalaya S.
1
2010
The method of generalized quasilinearization in finite systems. Zbl 0901.34013
Vatsala, A. S.; Shahzad, N.; Köksal, S.
1
1996
Generalized quasilinearization for impulsive reaction-diffusion equations with fixed moments of impulses. Zbl 0910.35066
Drici, Zahia; Vatsala, A. S.; Kouhestani, Nader
1
1998
Method of vector Lyapunov functions for impulsive fuzzy systems. Zbl 1083.34041
Vasundhara Devi, J.; Vatsala, A. S.
1
2004
Systems of first order partial differential equations and monotone iterative technique. Zbl 0582.35013
Ladde, G. S.; Vatsala, A. S.
1
1985
Numerical investigation of generalized quasilinearization method for reaction diffusion systems. Zbl 1085.65084
Yang, Jie; Vatsala, A. S.
1
2005
The generalized quasilinearization method for parabolic integro-differential equations. Zbl 1026.35009
Vatsala, A. S.; Wang, Liwen
1
2001
Superlinear convergence via mixed generalized quasilinearization method and generalized monotone method. Zbl 1301.34018
Anderson, Vinchencia; Bettis, Courtney; Brown, Shala; Davis, Jacqkis; Tull-Walker, Naeem; Chellamuthu, Vinodh; Vatsala, Aghalaya S.
1
2014
Numerical application of generalized monotone method for population models. Zbl 1278.34033
Noel, C.; Sheila, H.; Zenia, N.; Dayonna, P.; Jasmine, W.; Vatsala, A. S.; Sowmya, M.
1
2012
Extended method of quasilinearization for systems of nonlinear differential equations. Zbl 1041.34006
Vajravelu, K.; Vatsala, A. S.
1
2000
A quenching problem of Kawarada’s type for one dimensional Caputo fractional reaction diffusion equation. Zbl 1405.35251
Subedi, Subhash; Vatsala, Aghalaya S.
1
2018
Generalized monotone method for Caputo fractional differential systems via coupled lower and upper solutions. Zbl 1236.34020
Stutson, Donna; Vatsala, A. S.
1
2011
Higher order of convergence via generalized quasilinearization method for parabolic integro-differential equations. Zbl 1142.65109
Melton, Tanya G.; Vatsala, A. S.
1
2007
Riemann Liouville and Caputo fractional differential and integral inequalities. Zbl 1322.34013
Stutson, Donna S.; Vatsala, Aghalaya S.
1
2014
A quenching problem of Kawarada’s type for one dimensional Caputo fractional reaction diffusion equation. Zbl 1405.35251
Subedi, Subhash; Vatsala, Aghalaya S.
1
2018
Picard’s iterative method for Caputo fractional differential equations with numerical results. Zbl 06898694
Lyons, Rainey; Vatsala, Aghalaya S.; Chiquet, Ross A.
4
2017
Basic results for sequential Caputo fractional differential equations. Zbl 1315.34015
Sambandham, Bhuvaneswari; Vatsala, Aghalaya S.
9
2015
Generalized iterative methods for Caputo fractional differential equations via coupled lower and upper solutions with superlinear convergence. Zbl 1327.34009
Sowmya, M.; Vatsala, A. S.
3
2015
Generalized monotone method for ordinary and Caputo fractional differential equations. Zbl 1336.34019
Vatsala, Aghalaya S.; Sowmya, M.; Stutson, Donna S.
2
2015
Superlinear convergence via mixed generalized quasilinearization method and generalized monotone method. Zbl 1301.34018
Anderson, Vinchencia; Bettis, Courtney; Brown, Shala; Davis, Jacqkis; Tull-Walker, Naeem; Chellamuthu, Vinodh; Vatsala, Aghalaya S.
1
2014
Riemann Liouville and Caputo fractional differential and integral inequalities. Zbl 1322.34013
Stutson, Donna S.; Vatsala, Aghalaya S.
1
2014
Generalized monotone iterative technique for Caputo fractional differential equation with periodic boundary condition via initial value problem. Zbl 1267.34011
Ramírez, J. Diego; Vatsala, A. S.
15
2012
Generalized quasilinearization method for RL fractional differential equations. Zbl 1400.34005
Denton, Z.; Vatsala, A. S.
2
2012
Numerical application of generalized monotone method for population models. Zbl 1278.34033
Noel, C.; Sheila, H.; Zenia, N.; Dayonna, P.; Jasmine, W.; Vatsala, A. S.; Sowmya, M.
1
2012
Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations. Zbl 1232.34012
Denton, Z.; Vatsala, A. S.
18
2011
Quasilinearization method via lower and upper solutions for Riemann-Liouville fractional differential equations. Zbl 1237.34006
Denton, Z.; Ng, P. W.; Vatsala, A. S.
9
2011
Monotone method for nonlinear Caputo fractional boundary value problems. Zbl 1234.26019
Ramírez, J. D.; Vatsala, A. S.
6
2011
Generalized monotone method for Caputo fractional differential systems via coupled lower and upper solutions. Zbl 1236.34020
Stutson, Donna; Vatsala, A. S.
1
2011
Fractional integral inequalities and applications. Zbl 1189.26044
Denton, Z.; Vatsala, A. S.
40
2010
Generalized monotone method for Caputo fractional differential equation with periodic boundary condition. Zbl 1227.34021
Ramírez, J. Diego; Vatsala, Aghalaya S.
1
2010
Monotone iterative technique for fractional differential equations with periodic boundary conditions. Zbl 1197.26007
Ramírez, J. D.; Vatsala, A. S.
28
2009
Basic theory of fractional differential equations. Zbl 1161.34001
Lakshmikantham, V.; Vatsala, A. S.
493
2008
General uniqueness and monotone iterative technique for fractional differential equations. Zbl 1161.34031
Lakshmikantham, V.; Vatsala, A. S.
165
2008
Inverse problem for coefficient identification in the Euler-Bernoulli equation. Zbl 1155.34356
Marinov, Tchavdar T.; Vatsala, Aghalaya S.
7
2008
Improved generalized quasilinearization method and rapid convergence for reaction diffusion equations. Zbl 1180.65131
Melton, Tanya G.; Vatsala, A. S.
3
2008
Theory of fractional differential inequalities and applications. Zbl 1159.34006
Lakshmikantham, V.; Vatsala, A. S.
116
2007
Generalized monontone iterative technique for functional differential equations with retardation and anticipation. Zbl 1310.34090
Vatsala, A. S.
1
2007
Higher order of convergence via generalized quasilinearization method for parabolic integro-differential equations. Zbl 1142.65109
Melton, Tanya G.; Vatsala, A. S.
1
2007
Generalized quasilinearization method and higher order of convergence for second-order boundary value problems. Zbl 1135.34005
Melton, Tanya G.; Vatsala, A. S.
9
2006
Quasilinearization for the periodic boundary value problem for systems of impulsive differential equations. Zbl 1158.34013
Hristova, S. G.; Vatsala, A. S.
2
2006
Monotone iterative technique for semilinear elliptic systems. Zbl 1143.65388
Vatsala, A. S.; Yang, Jie
11
2005
Generalized quasilinearization versus Newton method. Zbl 1078.65037
Lakshmikantham, V.; Vatsala, A. S.
11
2005
Stability in terms of two measures of hybrid systems with partially visible solutions. Zbl 1088.34049
Lakshmikanthama, V.; Vasundhara Devi, J.; Vatsala, A. S.
2
2005
Numerical investigation of generalized quasilinearization method for reaction diffusion systems. Zbl 1085.65084
Yang, Jie; Vatsala, A. S.
1
2005
Generalized monotone iterative method for initial value problems. Zbl 1112.34304
West, I. H.; Vatsala, A. S.
11
2004
Monotone iterative technique for impulsive set differential equations. Zbl 1080.34004
Vasundhara Devi, J.; Vatsala, A. S.
6
2004
A study of set differential equations with delay. Zbl 1069.34112
Vasundhara Devi, J.; Vatsala, A. S.
6
2004
Method of vector Lyapunov functions for impulsive fuzzy systems. Zbl 1083.34041
Vasundhara Devi, J.; Vatsala, A. S.
1
2004
Interconnection between set and fuzzy differential equations. Zbl 1029.34049
Laksmikantham, V.; Leela, S.; Vatsala, A. S.
37
2003
Set differential equations and monotone flows. Zbl 1090.34064
Lakshmikantham, V.; Vatsala, A. S.
11
2003
Generalized quasilinearization for an impulsive differential equation with variable moments of impulse. Zbl 1048.34028
Vasundara Devi, J.; Vatsala, A. S.
7
2003
Impulsive hybrid fuzzy differential equations. Zbl 1051.93060
Vatsala, A. S.
4
2003
Hybrid systems on time scales. Zbl 1032.34050
Lakshmikantham, V.; Vatsala, A. S.
32
2002
Basic theory of fuzzy difference equations. Zbl 1023.39008
Lakshmikantham, V.; Vatsala, A. S.
15
2002
Generalized monotone technique for an impulsive differential equation with variable moments of impulse. Zbl 1022.34005
Vatsala, A. S.; Vasundara Devi, J.
3
2002
A unified exhaustive study of monotone iterative method for initial value problems. Zbl 1094.34503
Sokol, Michael; Vatsala, A. S.
6
2001
The generalized quasilinearization method for parabolic integro-differential equations. Zbl 1026.35009
Vatsala, A. S.; Wang, Liwen
1
2001
Existence of fixed points of fuzzy mappings via theory of fuzzy differential equations. Zbl 0943.34051
Lakshmikantham, V.; Vatsala, A. S.
4
2000
Generalized quasilinearization and semilinear elliptic boundary value problems. Zbl 0959.35062
Lakshmikantham, V.; Vatsala, A. S.
3
2000
The present state of UAS for Volterra and delay equations. Zbl 0957.45016
Lakshmikantham, V.; Vatsala, A. S.
2
2000
Quasilinearization for second order singular boundary value problems with solutions in weighted spaces. Zbl 0970.34016
Vasundhara Devi, J.; Vatsala, A. S.
2
2000
An extension of quasilinearization to reaction diffusion equations with fixed moments of impulses. Zbl 0952.35063
Drici, Zahia; Kouhestani, Nader; Vatsala, A. S.
1
2000
Extended method of quasilinearization for systems of nonlinear differential equations. Zbl 1041.34006
Vajravelu, K.; Vatsala, A. S.
1
2000
Differential inequalities with initial time difference and applications. Zbl 0933.34007
Lakshmikantham, V.; Vatsala, A. S.
17
1999
Theory of differential and integral inequalities with initial time difference and applications. Zbl 0988.34008
Lakshmikantham, V.; Vatsala, A. S.
3
1999
The method of generalized quasilinearization and its applications. Zbl 0931.34009
Lakshmikantham, V.; Vatsala, A. S.
2
1999
The generalized quasi-linearization method for reaction diffusion equations on an unbounded domain. Zbl 0938.35076
Vatsala, A. S.; Wang, Liwen
2
1999
Generalized quasilinearization method for first order periodic boundary value problem with fixed moments of impulses. Zbl 0934.34006
Vatsala, A. S.; Shobha Rani, V.; Vasundara Devi, J.
2
1999
Generalized quasilinearization for nonlinear problems. Zbl 0997.34501
Lakshmikantham, V.; Vatsala, A. S.
119
1998
Variation of parameters in terms of Lyapunov-like functions and stability of perturbed systems. Zbl 0930.34039
Liu, Xinzhi; Vatsala, A. S.
3
1998
The quasilinearization method in the system of reaction-diffusion equations. Zbl 0943.65108
Jiang, Jiahui; Vatsala, A. S.
2
1998
Strict stability criteria for dynamic systems on time scales. Zbl 0903.34050
Vatsala, A. S.
2
1998
Generalized quasilinearization for impulsive reaction-diffusion equations with fixed moments of impulses. Zbl 0910.35066
Drici, Zahia; Vatsala, A. S.; Kouhestani, Nader
1
1998
Stability of moving invariant sets. Zbl 0947.34039
Lakshmikantham, V.; Vatsala, A. S.
7
1997
Composite boundedness and stability results by perturbing Lyapunov functions. Zbl 0842.34057
Stutson, Donna; Vatsala, A. S.
4
1996
Dynamic systems on time scales and generalized quasilinearization. Zbl 0873.34007
Leela, S.; Vatsala, A. S.
3
1996
Global stability of sets for linear impulsive differential-difference equations with variable impulsive perturbations. Zbl 0866.34007
Bainov, Drumi; Stamova, Ivanka; Vatsala, Aghalaya
3
1996
Generalized practical stability results by perturbing Lyapunov functions. Zbl 0851.34052
Stutson, Donna; Vatsala, A. S.
1
1996
Generalized quasilinearization and first-order periodic boundary value problem. Zbl 0855.65091
Vatsala, A. S.; Stutson, Donna
1
1996
The method of generalized quasilinearization in finite systems. Zbl 0901.34013
Vatsala, A. S.; Shahzad, N.; Köksal, S.
1
1996
Improved generalized quasilinearization method for second order boundary value problem. Zbl 0820.34008
Shahzad, N.; Vatsala, A. S.
8
1995
Extension of the method of generalized quasilinearization for second order boundary value problems. Zbl 0831.34031
Shahzad, N.; Vatsala, A. S.
8
1995
Quadratic and semi-quadratic convergence of IVP. Zbl 1060.65615
Stutson, Donna; Vatsala, A. S.
2
1995
Impulsive quenching for reaction-diffusion equations. Zbl 0810.35039
Chan, C. Y.; Ke, L.; Vatsala, A. S.
10
1994
Method of generalized quasilinearization for second order boundary value problems. Zbl 0882.34026
Malek, S.; Vatsala, A. S.
5
1994
Generalized quasilinearization and reaction diffusion equations. Zbl 0819.35078
Vatsala, A. S.
2
1994
Periodic boundary value problems of impulsive differential equations. Zbl 0753.34008
Vatsala, A. S.; Sun, Yong
15
1992
Monotone method for first order singular systems with boundary conditions. Zbl 0697.34015
Uvah, J. A.; Vatsala, A. S.
2
1989
Monotone iterative technique for singular systems of differential equations. Zbl 0649.34021
Vatsala, A. S.
2
1987
Method of mixed monotony for nonlinear equations with a singular linear part. Zbl 0632.65060
Lakshmikantham, V.; Vatsala, A. S.
1
1987
Monotone method for integrodifferential equations with periodic boundary conditions. Zbl 0605.45007
Kaul, Saroop K.; Vatsala, A. S.
10
1986
Monotone iterative techniques for nonlinear differential equations. Zbl 0658.35003
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
467
1985
Existence of coupled quasi-solutions of systems of nonlinear reaction- diffusion equations. Zbl 0589.35061
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
13
1985
Systems of first order partial differential equations and monotone iterative technique. Zbl 0582.35013
Ladde, G. S.; Vatsala, A. S.
1
1985
Existence of coupled quasi-solutions of systems of nonlinear elliptic boundary value problems. Zbl 0575.35033
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
15
1984
Monotone iterative technique for partial differential equations of first order. Zbl 0566.35016
Lakshmikantham, V.; Oguztöreli, M. N.; Vatsala, A. S.
9
1984
Existence of coupled minimal and maximal periodic quasisolutions for systems of first order PBVP via quasisolutions. Zbl 0529.34050
Vatsala, A. S.
1
1984
Monotone method for a system of second order periodic boundary value problems. Zbl 0541.34009
Lakshmikantham, V.; Rao, V. Sree Hari; Vatsala, A. S.
1
1984
On the existence of periodic quasi-solutions for first order systems. Zbl 0526.34029
Vatsala, A. S.
7
1983
Comparison results for first and second order boundary value problems at resonance. Zbl 0542.34019
Shendge, G. R.; Vatsala, A. S.
2
1983
Existence of solutions for a system of second order nonlinear periodic boundary value problems. Zbl 0506.34015
Rao, V. Sree Hari; Vatsala, A. S.
1
1983
Method of quasi-upper and lower solutions in abstract cones. Zbl 0497.34047
Lakshmikantham, V.; Leela, S.; Vatsala, A. S.
13
1982
Existence and asymptotic behavior of reaction-diffusion systems via coupled quasi-solutions. Zbl 0513.35040
Ladde, G. S.; Lakshmikantham, V.; Vatsala, A. S.
4
1982
Stability results for solutions of reaction diffusion systems by the method of quasisolutions. Zbl 0443.34024
Lakshmikantham, V.; Vatsala, A. S.
5
1981
Existence of extremal solutions and comparison results for delay differential equations in abstract cones. Zbl 0507.34063
Vatsala, A. S.; Vaughn, R. L.
2
1981
Monotone method for equations describing transport phenomena in a Banach space. Zbl 0476.65038
Pachpatte, B. G.; Vatsala, A. S.
2
1981
Comparison results of reaction-diffusion equations with delay in abstract cones. Zbl 0499.35010
Ahmad, Shair; Vatsala, A. S.
1
1981
Existence and comparison results for differential equations of Sobolev type. Zbl 0435.34005
Vatsala, A. S.; Vaughn, R. L.
4
1980
Existence and comparison results for a class of Volterra integral equations of Sobolev type. Zbl 0458.45005
Lakshmikantham, V.; Vatsala, A. S.; Vaughn, R. L.
6
1979
Green’s function for n-n boundary value problem and an analogue of Hartman’s result. Zbl 0312.34011
Das, K. M.; Vatsala, A. S.
19
1975
On Green’s function of an n-point boundary value problem. Zbl 0275.34017
Das, K. M.; Vatsala, A. S.
9
1973
all top 5

Cited by 1,507 Authors

60 Nieto Roig, Juan Jose
46 Agarwal, Ravi P.
44 Lakshmikantham, Vangipuram
43 Jankowski, Tadeusz
34 Vatsala, Aghalaya S.
29 Ahmad, Bashir
26 Băleanu, Dumitru I.
26 Cabada, Alberto
25 Wang, Guotao
23 Wang, Peiguang
20 O’Regan, Donal
19 Rodríguez-López, Rosana
17 Wu, Yonghong
17 Zhang, Lihong
15 Benchohra, Mouffak
14 Liu, Lishan
13 Khan, Rahmat Ali
13 Shen, Jianhua
13 Vasundhara Devi, Jonnalagadda
13 Zhou, Yong
12 Khristova, Snezhana G.
12 Li, Yongkun
12 Li, Yongxiang
12 Ntouyas, Sotiris K.
12 Pao, Chia-Ven
11 Carl, Siegfried
11 Jiang, Daqing
11 Liu, Zhenhai
10 Akhmet, Marat Ubaydulla
10 Leela, Srinivasa G.
10 Liang, Sihua
10 Malinowski, Marek T.
10 N’Guérékata, Gaston Mandata
10 Shah, Kamal
9 Agarwal, Praveen
9 Al-saedi, Ahmed Eid Salem
9 Kucche, Kishor D.
9 McRae, Farzana A.
9 Sivasundaram, Seenith
9 Yakar, Coskun
8 Bai, Zhanbing
8 Chen, Pengyu
8 Eloe, Paul W.
8 He, Zhimin
8 Liu, Xinzhi
8 Nyamoradi, Nemat
8 Salahshour, Soheil
8 Samet, Bessem
8 Tariboon, Jessada
8 Zhang, Jihui
7 Abdeljawad, Thabet
7 Afrouzi, Ghasem Alizadeh
7 Ardjouni, Abdelouaheb
7 Bainov, Drumi Dimitrov
7 Bhaskar, Tenali Gnana
7 Cuevas, Claudio
7 Cui, Yujun
7 Deng, Keng
7 Djoudi, Ahcene
7 El-Gebeily, Mohamed A.
7 Henderson, Johnny Lee
7 Hilal, Khalid
7 Kamont, Zdzisław
7 Li, An
7 Luo, Zhiguo
7 Lv, Zhiwei
7 Michta, Mariusz
7 Wang, Weibing
7 Wang, Yuanming
6 Drici, Zahia
6 Ge, Weigao
6 Guo, Limin
6 Hamani, Samira
6 Han, Zhenlai
6 Hong, Shihuang
6 Jiao, Feng
6 Ladde, Gangaram S.
6 Li, Yong
6 Liz, Eduardo
6 López Pouso, Rodrigo
6 Mophou, Gisèle Massengo
6 Song, Guangxing
6 Sun, Ji Tao
6 Vajravelu, Kuppalapalle
6 Zhang, Shuqin
5 Ahmadian, Ali
5 Babakhani, Azizollah
5 Cao, Jinde
5 Chen, Yubo
5 Ding, Xiaoli
5 Erbe, Lynn Harry
5 Jiang, Wei
5 Jiang, Weihua
5 Lachouri, Adel
5 Liu, Yuji
5 Lupulescu, Vasile
5 Merdivenci Atici, Ferhan
5 Minchev, Emil
5 Ouahab, Abdelghani
5 Ouyang, Zigen
...and 1,407 more Authors
all top 5

Cited in 228 Serials

130 Applied Mathematics and Computation
106 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
92 Computers & Mathematics with Applications
90 Advances in Difference Equations
80 Journal of Mathematical Analysis and Applications
59 Abstract and Applied Analysis
57 Nonlinear Analysis. Theory, Methods & Applications
50 Journal of Computational and Applied Mathematics
43 Boundary Value Problems
29 Applicable Analysis
26 Journal of Applied Mathematics and Computing
25 Applied Mathematics Letters
22 Nonlinear Analysis. Real World Applications
21 Journal of Inequalities and Applications
20 Fractional Calculus & Applied Analysis
17 Journal of Function Spaces
16 Communications in Nonlinear Science and Numerical Simulation
15 Mathematical Methods in the Applied Sciences
14 Mathematical and Computer Modelling
14 Discrete Dynamics in Nature and Society
13 Fuzzy Sets and Systems
10 Chaos, Solitons and Fractals
10 Journal of Optimization Theory and Applications
10 Differential Equations and Dynamical Systems
10 Fractional Differential Calculus
9 Journal of Differential Equations
9 Nonlinear Analysis. Hybrid Systems
9 AIMS Mathematics
8 Stochastic Analysis and Applications
8 Computational and Applied Mathematics
8 Filomat
8 Nonlinear Analysis. Modelling and Control
8 Journal of Applied Mathematics
8 Mediterranean Journal of Mathematics
7 Information Sciences
6 Rocky Mountain Journal of Mathematics
6 Results in Mathematics
6 International Journal of Computer Mathematics
6 Opuscula Mathematica
6 Mathematical Problems in Engineering
6 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
6 Fixed Point Theory and Applications
6 Advances in Mathematical Physics
6 International Journal of Differential Equations
6 Journal of Mathematics
5 Czechoslovak Mathematical Journal
5 Proceedings of the American Mathematical Society
5 Applied Mathematics and Mechanics. (English Edition)
5 Applied Mathematical Modelling
5 Complexity
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Mathematics
5 International Journal of Applied and Computational Mathematics
4 Computer Physics Communications
4 International Journal of Mathematics and Mathematical Sciences
4 Journal of Integral Equations and Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Vietnam Journal of Mathematics
4 Acta Mathematica Sinica. English Series
4 Nonlinear Oscillations
4 Discrete and Continuous Dynamical Systems. Series S
4 Asian-European Journal of Mathematics
4 Journal of Nonlinear Science and Applications
3 International Journal of Control
3 Journal of the Franklin Institute
3 Ukrainian Mathematical Journal
3 Numerical Functional Analysis and Optimization
3 Semigroup Forum
3 Applications of Mathematics
3 Numerical Algorithms
3 Journal of Mathematical Sciences (New York)
3 Electronic Journal of Differential Equations (EJDE)
3 Georgian Mathematical Journal
3 Fractals
3 Journal of Difference Equations and Applications
3 Journal of Applied Analysis
3 Lobachevskii Journal of Mathematics
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Mathematical Modelling and Analysis
3 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
3 Communications on Pure and Applied Analysis
3 Proyecciones
3 Applications and Applied Mathematics
3 Differential Equations and Applications
3 Journal of Applied Analysis and Computation
3 Mathematical Sciences
2 Bulletin of the Australian Mathematical Society
2 Indian Journal of Pure & Applied Mathematics
2 International Journal of Theoretical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 BIT
2 Calcolo
2 Mathematics and Computers in Simulation
2 Mathematica Slovaca
2 Zeitschrift für Analysis und ihre Anwendungen
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Acta Mathematicae Applicatae Sinica. English Series
2 Facta Universitatis. Series Mathematics and Informatics
...and 128 more Serials
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Cited in 42 Fields

1,035 Ordinary differential equations (34-XX)
250 Operator theory (47-XX)
236 Partial differential equations (35-XX)
214 Real functions (26-XX)
165 Numerical analysis (65-XX)
145 Integral equations (45-XX)
63 Systems theory; control (93-XX)
60 Difference and functional equations (39-XX)
60 Biology and other natural sciences (92-XX)
35 Probability theory and stochastic processes (60-XX)
19 Dynamical systems and ergodic theory (37-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
16 Special functions (33-XX)
16 Global analysis, analysis on manifolds (58-XX)
10 General topology (54-XX)
10 Mechanics of deformable solids (74-XX)
8 Mathematical logic and foundations (03-XX)
6 Approximations and expansions (41-XX)
6 Functional analysis (46-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Combinatorics (05-XX)
5 Measure and integration (28-XX)
5 Abstract harmonic analysis (43-XX)
5 Mechanics of particles and systems (70-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Fluid mechanics (76-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistics (62-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Quantum theory (81-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Computer science (68-XX)
1 Information and communication theory, circuits (94-XX)

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