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O’Malley, Robert E. jun.

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Author ID: omalley.robert-e-jun Recent zbMATH articles by "O’Malley, Robert E. jun."
Published as: O’Malley, Robert E. jun.; O’Malley, Robert E.; O’Malley, R. E. jun.; O’Malley, Robert E. jun
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Serials

27 SIAM Review
8 Studies in Applied Mathematics
8 SIAM Journal on Applied Mathematics
6 Journal of Mathematical Analysis and Applications
5 SIAM Journal on Mathematical Analysis
4 Archive for Rational Mechanics and Analysis
4 Journal of Differential Equations
3 IEEE Transactions on Automatic Control
3 Journal of Mathematics and Mechanics
3 Journal of Physics. Conference Series
2 Communications on Pure and Applied Mathematics
2 European Journal of Applied Mathematics
2 SIAM Journal on Control
1 Applicable Analysis
1 Journal of the Australian Mathematical Society, Series B
1 Journal of Engineering Mathematics
1 Journal of the Institute of Mathematics and its Applications
1 Journal of Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Advances in Mathematics
1 Applied Mathematics and Optimization
1 Automatica
1 BIT
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Numerical Functional Analysis and Optimization
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Optimal Control Applications & Methods
1 SIAM Journal on Scientific and Statistical Computing
1 Applied Numerical Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 SIAM Journal on Scientific Computing
1 Methods and Applications of Analysis
1 Applied Mathematical Sciences
1 Proceedings of Symposia in Applied Mathematics
1 Communications of the Mathematical Institute, Rijksuniversiteit Utrecht
1 Cambridge Texts in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 1,197 times in 891 Documents Cited by Year
Introduction to singular perturbations. Zbl 0287.34062
O’Malley, Robert E. jun.
206
1974
Singular perturbations and order reduction in control theory - an overview. Zbl 0323.93020
Kokotovic, P. V.; O’Malley, Robert E. jun.; Sannuti, P.
191
1976
Singular perturbation methods for ordinary differential equations. Zbl 0743.34059
O’Malley, Robert E. jun.
172
1991
Boundary layer problems exhibiting resonance. Zbl 0198.12901
Ackerberg, R. C.; O’Malley, Robert E. jun.
42
1970
Phase-plane solutions to some singular perturbation problems. Zbl 0334.34050
O’Malley, Robert E. jun.
39
1976
Topics in singular perturbations. Zbl 0203.40101
O’Malley, Robert E. jun.
32
1968
Two-parameter singular perturbation problems for second-order equations. Zbl 0173.11102
O’Malley, Robert E. jun.
25
1967
Singular perturbations and singular arcs. I. Zbl 0298.49020
O’Malley, Robert E. jun.; Jameson, Antony
22
1975
On the asymptotic solution of a two-parameter boundary value problem of chemical reactor theory. Zbl 0254.34062
Chen, Jye; O’Malley, Robert E. jun.
20
1974
Shock layer movement for Burgers’ equation. Zbl 0820.35119
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
18
1995
The singularly perturbed linear state regulator problem. Zbl 0241.49006
O’Malley, Robert E. jun.
18
1972
The numerical solution of boundary value problems for stiff differential equations. Zbl 0402.65049
Flaherty, Joseph E.; O’Malley, Robert E. jun.
18
1977
Boundary layer methods for nonlinear initial value problems. Zbl 0226.34053
O’Malley, Robert E. jun.
16
1971
Cheap control of the time-invariant regulator. Zbl 0307.49040
Jameson, Antony; O’Malley, Robert E. jun.
16
1975
On boundary value problems for a singularly perturbed differential equation with a turning point. Zbl 0208.12301
O’Malley, Robert E. jun.
15
1970
Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters. Zbl 0166.08001
O’Malley, Robert E. jun.
14
1967
Analytical and numerical methods for nonlinear singular singularly- perturbed initial value problems. Zbl 0471.65056
O’Malley, Robert E. jun.; Flaherty, Joseph E.
14
1980
A singular singularly-perturbed linear boundary value problem. Zbl 0413.34021
O’Malley, Robert E. jun.
13
1979
On singular singularly perturbed initial value problems. Zbl 0676.34038
Gu, Zhongmei; Nefedov, N. N.; O’Malley, Robert E. jun.
13
1989
On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé. Zbl 0965.34010
O’Malley, Robert E. jun.
12
2000
Singular perturbations and singular arcs. II. Zbl 0358.49017
O’Malley, Robert E. jun.; Jameson, Antony
12
1977
On the motion of viscous shocks and the supersensitivity of their steady- state limits. Zbl 0834.76048
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
12
1994
On ininital value problems for nonlinear systems of differential equations with two small parameters. Zbl 0214.09701
O’Malley, R. E. jun.
12
1971
Singularly perturbed linear two-point boundary value problems. Zbl 1362.34092
O’Malley, Robert E. jun.
12
2008
Boundary value problems for linear systems of ordinary differential equations involving many small parameters. Zbl 0177.11901
O’Malley, Robert E. jun.
11
1969
The singularly perturbed linear state regulator problem. II. Zbl 0296.49012
O’Malley, Robert E. jun.; Kung, C. F.
10
1975
On nonlinear singularly perturbed initial value problems. Zbl 0652.34067
O’Malley, Robert E. jun
9
1988
A combined renormalization group-multiple scale method for singularly perturbed problems. Zbl 1204.34078
O’Malley, Robert E. jun.; Kirkinis, Eleftherios
8
2010
Singular perturbations of a boundary value problem for a system of nonlinear differential equations. Zbl 0212.11901
O’Malley, Robert E. jun.
8
1970
Singular perturbation of the time-invariant linear state regulator problem. Zbl 0237.93032
O’Malley, Robert E. jun.
7
1972
On the matrix Riccati approach to a singularly perturbed regulator problem. Zbl 0289.34082
O’Malley, Robert E. jun.; Kung, C. F.
7
1974
Historical developments in singular perturbations. Zbl 1336.34002
O’Malley, Robert E.
7
2014
The motion of internal layers in singularly perturbed advection-diffusion-reaction equations. Zbl 1141.35397
Knaub, Karl R.; O’Malley, Robert E. jun.
7
2004
Boundary layer methods for certain nonlinear singularity perturbed optimal control problems. Zbl 0273.49017
O’Malley, Robert E. jun.
6
1974
On a boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0193.05803
O’Malley, Robert E. jun.
6
1969
Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations. I: Eigenvalue problems. Zbl 0198.42803
Handelman, G. H.; Keller, Joseph B.; O’Malley, Robert E. jun.
6
1968
Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations. II: Boundary value problems. Zbl 0198.42804
O’Malley, Robert E. jun.; Keller, Joseph B.
6
1968
A new renormalization method for the asymptotic solution of weakly nonlinear vector systems. Zbl 1042.34087
Mudavanhu, B.; O’Malley, R. E. jun.
6
2002
On nonlinear singular perturbation problems with interior nonuniformities. Zbl 0212.11802
O’Malley, Robert E. jun.
6
1970
A boundary value problem for certain nonlinear second order differential equations with a small parameter. Zbl 0157.14202
O’Malley, Robert E. jun.
6
1968
On singular singularly-perturbed initial value problems. Zbl 0397.34068
O’Malley, Robert E. jun.
5
1978
Regularization of nonlinear differential-algebraic equations. Zbl 0794.34004
O’Malley, Robert E. jun.; Kalachev, Leonid V.
5
1994
Singular perturbations and hysteresis. Based on the workshop, Cork, Ireland, April 2002. Zbl 1067.34003
5
2005
A renormalization group method for nonlinear oscillators. Zbl 1152.34336
Mudavanhu, B.; O’Malley, R. E. jun.
5
2001
A non-linear singular perturbation problem arising in the study of chemical flow reactors. Zbl 0191.38701
O’Malley, Robert E. jun.
4
1970
Singular perturbations and optimal control. Zbl 0403.49002
O’Malley, Robert E. jun.
4
1978
Singular perturbation analysis for ordinary differential equations. Zbl 0426.34001
O’Malley, Robert E. jun.
4
1977
A more direct solution of the nearly singular linear regulator problem. Zbl 0344.49006
O’Malley, Robert E. jun.
4
1976
Time-scale decoupling and order reduction for linear time-varying systems. Zbl 0481.93013
O’Malley, Robert E. jun.; Anderson, Leonard R.
4
1982
Shock and transition layers for singularly perturbed second-order vector systems. Zbl 0523.34014
O’Malley, Robert E. jun.
4
1983
Numerical methods for stiff systems of two-point boundary value problems. Zbl 0557.65054
Flaherty, Joseph E.; O’Malley, Robert E. jun.
4
1984
Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations. Zbl 1269.34044
O’Malley, Robert E. jun.; Williams, David B.
4
2006
Singular perturbation theory: a viscous flow out of Göttingen. Zbl 1345.76002
O’Malley, Robert E. jun.
4
2010
Examples illustrating the use of renormalization techniques for singularly perturbed differential equations. Zbl 1184.34063
O’Malley, Robert E. jun.; Kirkinis, Eleftherios
4
2009
Singular perturbations, asymptotic evaluation of integrals, and computational challenges. Zbl 0736.65059
O’Malley, Robert E. jun.
3
1991
On the asymptotic solution of boundary value problems for nonhomogeneous ordinary differential equations containing a parameter. Zbl 0187.34101
O’Malley, Robert E. jun.
3
1969
Naive singular perturbation theory. Zbl 1020.34047
O’Malley, Robert E. jun.
3
2001
Viscous shock motion for advection-diffusion equations. Zbl 0862.35055
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
3
1995
Exponential asymptotics, the viscid Burgers’ equation, and standing wave solutions for a reaction-advection-diffusion model. Zbl 1020.35086
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
3
1999
Supersensitive boundary value problems. Zbl 0788.65088
Laforgue, Jacques G.; O’Malley, Robert E. jun.
3
1993
Thinking about ordinary differential equations. Zbl 0873.34002
O’Malley, Robert E. jun.
3
1997
Working with multiscale asymptotics. Zbl 1158.70313
Mudavanhu, Blessing; O’Malley, Robert E.; Williams, David B.
3
2005
Singular singular-perturbation problems. Zbl 0356.34059
O’Malley, Robert E. jun.; Flaherty, Joseph E.
2
1977
Boundary value problems for differential-algebraic equations. Zbl 0828.34014
Kalachev, Leonid V.; O’Malley, Robert E. jun.
2
1995
The regularization of linear differential-algebraic equations. Zbl 0851.34002
Kalachev, Leonid V.; O’Malley, Robert E. jun.
2
1996
The slow motion of shock layers for advection-diffusion-reaction equations. Zbl 1064.76062
Knaub, Karl R.; O’Malley, Robert E. jun.; Williams, David B.
2
2005
On the asymptotic solution of initial value problems for differential equations with small delay. Zbl 0215.45001
O’Malley, Robert E. jun.
2
1971
The first boundary value problem for certain linear elliptic differential equations involving two small parameters. Zbl 0157.18304
O’Malley, Robert E. jun.
2
1967
On the computation of singular controls. Zbl 0362.49025
Flaherty, Joseph E.; O’Malley, Robert E. jun.
2
1977
A survey in mathematics for industry: two-timing and matched asymptotic expansions for singular perturbation problems. Zbl 1233.35011
O’Malley, R. E. jun.; Kirkinis, E.
2
2011
Variation of parameters and the renormalization group method. Zbl 1408.82002
O’Malley, Robert E. jun.; Kirkinis, Eleftherios
2
2015
Exponential asymptotics, boundary layer resonance, and dynamic metastability. Zbl 0902.76090
O’Malley, Robert E. jun.; Ward, Michael J.
1
1996
On multiple solutions of a singular perturbation problem. Zbl 0251.34036
O’Malley, Robert E. jun.
1
1972
Cheap control, singular arcs and singular perturbations. Zbl 0314.49006
O’Malley, Robert E. jun.
1
1974
The singular perturbation approach to singular arcs. Zbl 0334.49001
O’Malley, Robert E. jun.
1
1975
Singularly perturbed boundary value problems viewed in the Liénard plane. Zbl 0712.34041
Allen, J. D.; O’Malley, Robert E. jun.
1
1990
On the asymptotic solution of multi-point boundary value problems. Zbl 0191.38502
O’Malley, Robert E. jun.
1
1970
The numerical solution of a challenging class of turning point problems. Zbl 1147.34346
Lin, Ping; O’Malley, R. E. jun.
1
2003
Singular perturbations, order reduction, and decoupling of large scale systems. Zbl 0446.65039
O’Malley, Robert E. jun.; Anderson, L. R.
1
1979
Singular perturbations of semilinear second order systems. Zbl 0448.34062
Howes, F. A.; O’Malley, Robert E. jun.
1
1980
Give your ODEs a singular perturbation! Zbl 0964.34046
O’Malley, Robert E. jun.
1
2000
On exorcising secular terms. Zbl 1189.34103
O’Malley, Robert E. jun.
1
2000
Metastable travelling-wave solutions of singularly-perturbed reaction-diffusion equations. Zbl 0926.35016
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.; Ward, Michael J.
1
1998
Amplitude modulation for the Swift-Hohenberg and Kuramoto-Sivashinski equations. Zbl 1308.35033
Kirkinis, Eleftherios; O’Malley, Robert E.
1
2014
Mahony’s intriguing stiff equations. Zbl 1089.34534
O’Malley, Robert E. jun.
1
1999
Book review of: L. A. Segel and L. Edelstein-Keshet, A primer on mathematical models in biology. Zbl 1280.00022
O’Malley, Robert E. jun.
1
2013
Variation of parameters and the renormalization group method. Zbl 1408.82002
O’Malley, Robert E. jun.; Kirkinis, Eleftherios
2
2015
Historical developments in singular perturbations. Zbl 1336.34002
O’Malley, Robert E.
7
2014
Amplitude modulation for the Swift-Hohenberg and Kuramoto-Sivashinski equations. Zbl 1308.35033
Kirkinis, Eleftherios; O’Malley, Robert E.
1
2014
Book review of: L. A. Segel and L. Edelstein-Keshet, A primer on mathematical models in biology. Zbl 1280.00022
O’Malley, Robert E. jun.
1
2013
A survey in mathematics for industry: two-timing and matched asymptotic expansions for singular perturbation problems. Zbl 1233.35011
O’Malley, R. E. jun.; Kirkinis, E.
2
2011
A combined renormalization group-multiple scale method for singularly perturbed problems. Zbl 1204.34078
O’Malley, Robert E. jun.; Kirkinis, Eleftherios
8
2010
Singular perturbation theory: a viscous flow out of Göttingen. Zbl 1345.76002
O’Malley, Robert E. jun.
4
2010
Examples illustrating the use of renormalization techniques for singularly perturbed differential equations. Zbl 1184.34063
O’Malley, Robert E. jun.; Kirkinis, Eleftherios
4
2009
Singularly perturbed linear two-point boundary value problems. Zbl 1362.34092
O’Malley, Robert E. jun.
12
2008
Deriving amplitude equations for weakly-nonlinear oscillators and their generalizations. Zbl 1269.34044
O’Malley, Robert E. jun.; Williams, David B.
4
2006
Singular perturbations and hysteresis. Based on the workshop, Cork, Ireland, April 2002. Zbl 1067.34003
5
2005
Working with multiscale asymptotics. Zbl 1158.70313
Mudavanhu, Blessing; O’Malley, Robert E.; Williams, David B.
3
2005
The slow motion of shock layers for advection-diffusion-reaction equations. Zbl 1064.76062
Knaub, Karl R.; O’Malley, Robert E. jun.; Williams, David B.
2
2005
The motion of internal layers in singularly perturbed advection-diffusion-reaction equations. Zbl 1141.35397
Knaub, Karl R.; O’Malley, Robert E. jun.
7
2004
The numerical solution of a challenging class of turning point problems. Zbl 1147.34346
Lin, Ping; O’Malley, R. E. jun.
1
2003
A new renormalization method for the asymptotic solution of weakly nonlinear vector systems. Zbl 1042.34087
Mudavanhu, B.; O’Malley, R. E. jun.
6
2002
A renormalization group method for nonlinear oscillators. Zbl 1152.34336
Mudavanhu, B.; O’Malley, R. E. jun.
5
2001
Naive singular perturbation theory. Zbl 1020.34047
O’Malley, Robert E. jun.
3
2001
On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé. Zbl 0965.34010
O’Malley, Robert E. jun.
12
2000
Give your ODEs a singular perturbation! Zbl 0964.34046
O’Malley, Robert E. jun.
1
2000
On exorcising secular terms. Zbl 1189.34103
O’Malley, Robert E. jun.
1
2000
Exponential asymptotics, the viscid Burgers’ equation, and standing wave solutions for a reaction-advection-diffusion model. Zbl 1020.35086
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
3
1999
Mahony’s intriguing stiff equations. Zbl 1089.34534
O’Malley, Robert E. jun.
1
1999
Metastable travelling-wave solutions of singularly-perturbed reaction-diffusion equations. Zbl 0926.35016
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.; Ward, Michael J.
1
1998
Thinking about ordinary differential equations. Zbl 0873.34002
O’Malley, Robert E. jun.
3
1997
The regularization of linear differential-algebraic equations. Zbl 0851.34002
Kalachev, Leonid V.; O’Malley, Robert E. jun.
2
1996
Exponential asymptotics, boundary layer resonance, and dynamic metastability. Zbl 0902.76090
O’Malley, Robert E. jun.; Ward, Michael J.
1
1996
Shock layer movement for Burgers’ equation. Zbl 0820.35119
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
18
1995
Viscous shock motion for advection-diffusion equations. Zbl 0862.35055
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
3
1995
Boundary value problems for differential-algebraic equations. Zbl 0828.34014
Kalachev, Leonid V.; O’Malley, Robert E. jun.
2
1995
On the motion of viscous shocks and the supersensitivity of their steady- state limits. Zbl 0834.76048
Laforgue, Jacques G. L.; O’Malley, Robert E. jun.
12
1994
Regularization of nonlinear differential-algebraic equations. Zbl 0794.34004
O’Malley, Robert E. jun.; Kalachev, Leonid V.
5
1994
Supersensitive boundary value problems. Zbl 0788.65088
Laforgue, Jacques G.; O’Malley, Robert E. jun.
3
1993
Singular perturbation methods for ordinary differential equations. Zbl 0743.34059
O’Malley, Robert E. jun.
172
1991
Singular perturbations, asymptotic evaluation of integrals, and computational challenges. Zbl 0736.65059
O’Malley, Robert E. jun.
3
1991
Singularly perturbed boundary value problems viewed in the Liénard plane. Zbl 0712.34041
Allen, J. D.; O’Malley, Robert E. jun.
1
1990
On singular singularly perturbed initial value problems. Zbl 0676.34038
Gu, Zhongmei; Nefedov, N. N.; O’Malley, Robert E. jun.
13
1989
On nonlinear singularly perturbed initial value problems. Zbl 0652.34067
O’Malley, Robert E. jun
9
1988
Numerical methods for stiff systems of two-point boundary value problems. Zbl 0557.65054
Flaherty, Joseph E.; O’Malley, Robert E. jun.
4
1984
Shock and transition layers for singularly perturbed second-order vector systems. Zbl 0523.34014
O’Malley, Robert E. jun.
4
1983
Time-scale decoupling and order reduction for linear time-varying systems. Zbl 0481.93013
O’Malley, Robert E. jun.; Anderson, Leonard R.
4
1982
Analytical and numerical methods for nonlinear singular singularly- perturbed initial value problems. Zbl 0471.65056
O’Malley, Robert E. jun.; Flaherty, Joseph E.
14
1980
Singular perturbations of semilinear second order systems. Zbl 0448.34062
Howes, F. A.; O’Malley, Robert E. jun.
1
1980
A singular singularly-perturbed linear boundary value problem. Zbl 0413.34021
O’Malley, Robert E. jun.
13
1979
Singular perturbations, order reduction, and decoupling of large scale systems. Zbl 0446.65039
O’Malley, Robert E. jun.; Anderson, L. R.
1
1979
On singular singularly-perturbed initial value problems. Zbl 0397.34068
O’Malley, Robert E. jun.
5
1978
Singular perturbations and optimal control. Zbl 0403.49002
O’Malley, Robert E. jun.
4
1978
The numerical solution of boundary value problems for stiff differential equations. Zbl 0402.65049
Flaherty, Joseph E.; O’Malley, Robert E. jun.
18
1977
Singular perturbations and singular arcs. II. Zbl 0358.49017
O’Malley, Robert E. jun.; Jameson, Antony
12
1977
Singular perturbation analysis for ordinary differential equations. Zbl 0426.34001
O’Malley, Robert E. jun.
4
1977
Singular singular-perturbation problems. Zbl 0356.34059
O’Malley, Robert E. jun.; Flaherty, Joseph E.
2
1977
On the computation of singular controls. Zbl 0362.49025
Flaherty, Joseph E.; O’Malley, Robert E. jun.
2
1977
Singular perturbations and order reduction in control theory - an overview. Zbl 0323.93020
Kokotovic, P. V.; O’Malley, Robert E. jun.; Sannuti, P.
191
1976
Phase-plane solutions to some singular perturbation problems. Zbl 0334.34050
O’Malley, Robert E. jun.
39
1976
A more direct solution of the nearly singular linear regulator problem. Zbl 0344.49006
O’Malley, Robert E. jun.
4
1976
Singular perturbations and singular arcs. I. Zbl 0298.49020
O’Malley, Robert E. jun.; Jameson, Antony
22
1975
Cheap control of the time-invariant regulator. Zbl 0307.49040
Jameson, Antony; O’Malley, Robert E. jun.
16
1975
The singularly perturbed linear state regulator problem. II. Zbl 0296.49012
O’Malley, Robert E. jun.; Kung, C. F.
10
1975
The singular perturbation approach to singular arcs. Zbl 0334.49001
O’Malley, Robert E. jun.
1
1975
Introduction to singular perturbations. Zbl 0287.34062
O’Malley, Robert E. jun.
206
1974
On the asymptotic solution of a two-parameter boundary value problem of chemical reactor theory. Zbl 0254.34062
Chen, Jye; O’Malley, Robert E. jun.
20
1974
On the matrix Riccati approach to a singularly perturbed regulator problem. Zbl 0289.34082
O’Malley, Robert E. jun.; Kung, C. F.
7
1974
Boundary layer methods for certain nonlinear singularity perturbed optimal control problems. Zbl 0273.49017
O’Malley, Robert E. jun.
6
1974
Cheap control, singular arcs and singular perturbations. Zbl 0314.49006
O’Malley, Robert E. jun.
1
1974
The singularly perturbed linear state regulator problem. Zbl 0241.49006
O’Malley, Robert E. jun.
18
1972
Singular perturbation of the time-invariant linear state regulator problem. Zbl 0237.93032
O’Malley, Robert E. jun.
7
1972
On multiple solutions of a singular perturbation problem. Zbl 0251.34036
O’Malley, Robert E. jun.
1
1972
Boundary layer methods for nonlinear initial value problems. Zbl 0226.34053
O’Malley, Robert E. jun.
16
1971
On ininital value problems for nonlinear systems of differential equations with two small parameters. Zbl 0214.09701
O’Malley, R. E. jun.
12
1971
On the asymptotic solution of initial value problems for differential equations with small delay. Zbl 0215.45001
O’Malley, Robert E. jun.
2
1971
Boundary layer problems exhibiting resonance. Zbl 0198.12901
Ackerberg, R. C.; O’Malley, Robert E. jun.
42
1970
On boundary value problems for a singularly perturbed differential equation with a turning point. Zbl 0208.12301
O’Malley, Robert E. jun.
15
1970
Singular perturbations of a boundary value problem for a system of nonlinear differential equations. Zbl 0212.11901
O’Malley, Robert E. jun.
8
1970
On nonlinear singular perturbation problems with interior nonuniformities. Zbl 0212.11802
O’Malley, Robert E. jun.
6
1970
A non-linear singular perturbation problem arising in the study of chemical flow reactors. Zbl 0191.38701
O’Malley, Robert E. jun.
4
1970
On the asymptotic solution of multi-point boundary value problems. Zbl 0191.38502
O’Malley, Robert E. jun.
1
1970
Boundary value problems for linear systems of ordinary differential equations involving many small parameters. Zbl 0177.11901
O’Malley, Robert E. jun.
11
1969
On a boundary value problem for a nonlinear differential equation with a small parameter. Zbl 0193.05803
O’Malley, Robert E. jun.
6
1969
On the asymptotic solution of boundary value problems for nonhomogeneous ordinary differential equations containing a parameter. Zbl 0187.34101
O’Malley, Robert E. jun.
3
1969
Topics in singular perturbations. Zbl 0203.40101
O’Malley, Robert E. jun.
32
1968
Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations. I: Eigenvalue problems. Zbl 0198.42803
Handelman, G. H.; Keller, Joseph B.; O’Malley, Robert E. jun.
6
1968
Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations. II: Boundary value problems. Zbl 0198.42804
O’Malley, Robert E. jun.; Keller, Joseph B.
6
1968
A boundary value problem for certain nonlinear second order differential equations with a small parameter. Zbl 0157.14202
O’Malley, Robert E. jun.
6
1968
Two-parameter singular perturbation problems for second-order equations. Zbl 0173.11102
O’Malley, Robert E. jun.
25
1967
Singular perturbations of boundary value problems for linear ordinary differential equations involving two parameters. Zbl 0166.08001
O’Malley, Robert E. jun.
14
1967
The first boundary value problem for certain linear elliptic differential equations involving two small parameters. Zbl 0157.18304
O’Malley, Robert E. jun.
2
1967
all top 5

Cited by 1,029 Authors

26 Kadalbajoo, Mohan K.
26 O’Malley, Robert E. jun.
17 Howes, Frederick A.
16 Jung, Changyeol
15 Reddy, Yanala Narsimha
11 Kokotovic, Petar V.
10 Mo, Jiaqi
10 Strani, Marta
10 Temam, Roger Meyer
9 Amiraliyev, Gabil M.
9 Roos, Hans-Görg
8 Patidar, Kailash C.
8 Sannuti, Peddapullaiah
8 Sobolev, Vladimir A.
8 Teofanov, Ljiljana
7 Çakır, Musa
7 Duressa, Gemechis File
7 Gaitsgory, Vladimir G.
7 Ladde, Gangaram S.
7 Ward, Michael J.
6 Artstein, Zvi
6 Bobisud, Larry E.
6 Iwazumi, Tetsuo
6 Kando, Hisashi
6 Kirkinis, Eleftherios
6 Natesan, Srinivasan
6 Shibata, Tetsutaro
6 Valarmathi, Sigamani
6 Vulanović, Relja
6 Zarin, Helena
5 Amirali, Ilhame
5 Campbell, Stephen LaVern
5 Cruz, José B. jun.
5 Debela, Habtamu Garoma
5 Dmitriev, M. G.
5 Jayakumar, J.
5 Kelley, Walter G.
5 Khalil, Hassan K.
5 Kumar, Devendra
5 Kurina, Galina A.
5 Riganti, Riccardo
5 Smith, Donald R.
4 Brdar, Mirjana
4 Chandru, M.
4 Cimen, Erkan
4 de Groen, Pieter P. N.
4 Folino, Raffaele
4 Glizer, Valery Y.
4 Gupta, Vikas
4 Haddad, Abraham H.
4 Hanson, Floyd B.
4 Hoai, Nguyen Thi Xuan
4 Kaushik, Aditya
4 Kopteva, Natalia Viktorovna
4 Krishnarayalu, M. S.
4 Lin, Wantao
4 Lv, Yanhui
4 Nefedov, Nikolaĭ Nikolaevich
4 O’Reilly, John J.
4 Prabha, T.
4 Ramanujam, Narasimhan
4 Ramos, Higinio
4 Shaked, Uri
4 Stynes, Martin
4 Utkin, Vadim Ivanovich
3 Allemong, John J.
3 Alsmadi, Yazan M.
3 Arora, Puneet Kumar
3 Bajić, Vladimir B.
3 Bouyekhf, Rachid
3 Chakravarthy, P. Pramod
3 Chow, Joe Hong
3 Cobb, J. Daniel
3 Daraghmeh, Adnan
3 Du, Zengji
3 Eitelberg, Eduard
3 El Moudni, Abdellah
3 Freedman, Marvin I.
3 Geerts, Ton
3 Greenlee, Wilfred M.
3 Heck, Bonnie S.
3 Hong, Youngjoon
3 Kudu, Mustafa
3 Kühn, Christian
3 Kumar Mishra, Hradyesh
3 Lange, Charles G.
3 Liu, Chein-Shan
3 Looze, Douglas P.
3 Mahmoud, Magdi Sadik Mostafa
3 Mohapatra, Jugal
3 O’Riordan, Eugene
3 Phaneendra, Kolloju
3 Pickett, Maria L.
3 Qatanani, Naji A.
3 Rachinskii, Dmitrii I.
3 Roberts, Sanford M.
3 Saksena, Vikram Raj
3 Sari, Tewfik
3 Schneider, Klaus R.
3 Sharma, Manju
...and 929 more Authors
all top 5

Cited in 206 Serials

74 Journal of Mathematical Analysis and Applications
71 Applied Mathematics and Computation
54 International Journal of Control
45 Journal of Computational and Applied Mathematics
39 Automatica
30 Journal of Differential Equations
28 Computers & Mathematics with Applications
27 International Journal of Systems Science
26 Studies in Applied Mathematics
21 Applied Numerical Mathematics
13 Journal of the Franklin Institute
13 Applied Mathematics and Mechanics. (English Edition)
12 Nonlinear Analysis. Theory, Methods & Applications
11 Systems & Control Letters
9 Journal of Engineering Mathematics
9 Mathematics and Computers in Simulation
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Physica D
9 International Journal of Computer Mathematics
8 Mathematical Biosciences
8 Computational and Applied Mathematics
7 Mathematics of Computation
7 Journal of Optimization Theory and Applications
6 Applicable Analysis
6 Archive for Rational Mechanics and Analysis
6 Circuits, Systems, and Signal Processing
6 Stochastic Analysis and Applications
6 Acta Mathematicae Applicatae Sinica. English Series
5 Journal of Mathematical Physics
5 Transactions of the American Mathematical Society
5 Optimal Control Applications & Methods
5 Applied Mathematics Letters
5 Linear Algebra and its Applications
5 Applied Mathematics. Series B (English Edition)
5 Advances in Difference Equations
4 Journal of Applied Mathematics and Mechanics
4 Journal of Computational Physics
4 Journal of Mathematical Biology
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Mathematical and Computer Modelling
4 European Journal of Applied Mathematics
4 Mathematical Problems in Engineering
4 Journal of Applied Mathematics and Computing
4 International Journal of Applied and Computational Mathematics
3 Journal of Fluid Mechanics
3 Mathematical Methods in the Applied Sciences
3 Rocky Mountain Journal of Mathematics
3 Calcolo
3 Fuzzy Sets and Systems
3 International Journal for Numerical Methods in Engineering
3 Numerische Mathematik
3 Quarterly of Applied Mathematics
3 Journal of Scientific Computing
3 Applied Mathematical Modelling
3 Automation and Remote Control
3 International Journal of Robust and Nonlinear Control
3 Communications in Nonlinear Science and Numerical Simulation
3 Differential Equations
3 Nonlinear Analysis. Real World Applications
3 Mathematical Modelling and Analysis
3 International Journal of Differential Equations
2 Computer Methods in Applied Mechanics and Engineering
2 Communications on Pure and Applied Mathematics
2 Journal d’Analyse Mathématique
2 Journal of the Mechanics and Physics of Solids
2 Journal of Statistical Physics
2 Nonlinearity
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Optimization
2 Numerical Functional Analysis and Optimization
2 Proceedings of the American Mathematical Society
2 Siberian Mathematical Journal
2 Advances in Applied Mathematics
2 Acta Applicandae Mathematicae
2 Communications in Applied Numerical Methods
2 Journal of Economic Dynamics & Control
2 MCSS. Mathematics of Control, Signals, and Systems
2 Journal of Integral Equations and Applications
2 Computational Mathematics and Mathematical Physics
2 Annals of Physics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Dynamics and Differential Equations
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Advances in Computational Mathematics
2 Journal of Difference Equations and Applications
2 Discrete and Continuous Dynamical Systems
2 Journal of Mathematical Chemistry
2 European Journal of Control
2 Differential Equations and Dynamical Systems
2 Nonlinear Dynamics
2 Abstract and Applied Analysis
2 Journal of Shanghai University
2 Discrete Dynamics in Nature and Society
2 European Journal of Mechanics. A. Solids
2 Journal of Dynamical and Control Systems
2 Qualitative Theory of Dynamical Systems
2 Journal of Zhejiang University. Science
2 Discrete and Continuous Dynamical Systems. Series B
...and 106 more Serials
all top 5

Cited in 38 Fields

459 Ordinary differential equations (34-XX)
278 Numerical analysis (65-XX)
235 Systems theory; control (93-XX)
148 Partial differential equations (35-XX)
70 Calculus of variations and optimal control; optimization (49-XX)
57 Fluid mechanics (76-XX)
37 Biology and other natural sciences (92-XX)
32 Dynamical systems and ergodic theory (37-XX)
29 Probability theory and stochastic processes (60-XX)
24 Mechanics of deformable solids (74-XX)
20 Mechanics of particles and systems (70-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Operations research, mathematical programming (90-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Difference and functional equations (39-XX)
12 Integral equations (45-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Approximations and expansions (41-XX)
10 Computer science (68-XX)
9 Operator theory (47-XX)
7 Information and communication theory, circuits (94-XX)
6 Statistics (62-XX)
4 General and overarching topics; collections (00-XX)
4 Real functions (26-XX)
4 Optics, electromagnetic theory (78-XX)
4 Quantum theory (81-XX)
3 Number theory (11-XX)
2 Integral transforms, operational calculus (44-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year

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