## Warga, Jack

Compute Distance To:
 Author ID: warga.jack Published as: Warga, J.; Warga, Jack External Links: MacTutor · MGP · Wikidata · dblp · IdRef
 Documents Indexed: 69 Publications since 1950, including 1 Book Biographic References: 4 Publications Co-Authors: 5 Co-Authors with 6 Joint Publications 57 Co-Co-Authors

### Co-Authors

 60 single-authored 3 Zhu, Qiji Jim 1 Hailey, W. C. 1 Neustadt, Lucien W. 1 Rosenblueth, Javier F. 1 Shapiro, Harold N.
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### Serials

 13 SIAM Journal on Control and Optimization 8 Journal of Mathematical Analysis and Applications 6 SIAM Journal on Control 4 Journal of Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of the Society for Industrial & Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Michigan Mathematical Journal 2 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 AIAA Journal 1 Communications on Pure and Applied Mathematics 1 Applied Mathematics and Optimization 1 IEEE Transactions on Automatic Control 1 Journal of Functional Analysis 1 Mathematics of Operations Research 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 SIAM Review 1 SIAM Journal on Optimization 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Physics 1 Set-Valued and Variational Analysis
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### Fields

 41 Calculus of variations and optimal control; optimization (49-XX) 20 Systems theory; control (93-XX) 8 Operations research, mathematical programming (90-XX) 6 Functional analysis (46-XX) 5 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General topology (54-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

57 Publications have been cited 1,056 times in 791 Documents Cited by Year
Optimal control of differential and functional equations. Zbl 0253.49001
Warga, J.
1972
Relaxed variational problems. Zbl 0102.31801
Warga, J.
1962
Fat homeomorphisms and unbounded derivate containers. Zbl 0476.26006
Warga, J.
1981
Functions of relaxed controls. Zbl 0234.49007
Warga, J.
1967
Variational problems with unbounded controls. Zbl 0201.47803
Warga, J.
1965
Derivate containers, inverse functions, and controllability. Zbl 0355.26004
Warga, Jack
1976
Controllability, extremality, and abnormality in nonsmooth optimal control. Zbl 0497.49033
Warga, J.
1983
Minimizing certain convex functions. Zbl 0128.05801
Warga, J.
1963
Necessary conditions for minimum in relaxed variational problems. Zbl 0102.31802
Warga, J.
1962
Optimization and controllability without differentiability assumptions. Zbl 0526.49026
Warga, J.
1983
Controllability and necessary conditions in unilateral problems without differentiability assumptions. Zbl 0325.49008
Warga, J.
1976
Necessary conditions without differentiability assumptions in optimal control. Zbl 0272.49005
Warga, J.
1975
Comments on the paper ’Optimal control of processes described by integral equations. I’ by V. R. Vinokurov. Zbl 0206.16503
1970
A second-order condition that strengthens Pontryagin’s maximum principle. Zbl 0346.49012
Warga, J.
1978
A second-order Lagrangian condition for restricted control problems. Zbl 0351.49003
Warga, J.
1978
Steepest descent with relaxed controls. Zbl 0356.49018
Warga, J.
1977
Necessary conditions without differentiability assumptions in unilateral control problems. Zbl 0323.49008
Warga, J.
1976
Minimizing variational curves restricted to a preassigned set. Zbl 0129.07403
Warga, J.
1964
Minimax problems and unilateral curves in the calculus of variations. Zbl 0137.08302
Warga, J.
1965
Normal control problems have no minimizing strictly original solutions. Zbl 0237.49004
Warga, J.
1971
A proper relaxation of shifted and delayed controls. Zbl 0776.49008
Warga, J.; Zhu, Q. J.
1992
The reduction of certain control problems to an ’ordinary differential’ type. Zbl 0155.14703
Warga, J.
1968
Control problems with functional restrictions. Zbl 0205.16701
Warga, J.
1970
Controllability of nondifferentiable hereditary processes. Zbl 0392.93010
Warga, J.
1978
Unilateral and minimax control problems defined by integral equations. Zbl 0205.16801
Warga, J.
1970
Controllability and a multiplier rule for nondifferentiable optimization problems. Zbl 0411.90075
Warga, J.
1978
An implicit function theorem without differentiability. Zbl 0348.26012
Warga, J.
1978
Higher order conditions with and without Lagrange multipliers. Zbl 0595.49017
Warga, J.
1986
Second order controllability and optimization with ordinary controls. Zbl 0559.49015
Warga, J.
1985
On a class of minimax problems in the calculus of variations. Zbl 0133.36401
Warga, J.
1965
Relaxed controls for functional equations. Zbl 0187.07904
Warga, J.
1970
Restricted minima of functions of controls. Zbl 0234.49008
Warga, J.
1967
Higher-order conditions for conical controllability. Zbl 0695.49020
Warga, J.
1988
An extension of the Kaskosz maximum principle. Zbl 0714.49025
Warga, J.
1990
On the representation of large integers as sums of primes. I. Zbl 0038.18602
Shapiro, Harold N.; Warga, Jack
1950
A proper relaxation of controls with variable shifts. Zbl 0901.49005
Warga, J.
1995
Unilateral variational problems with several inequalities. Zbl 0137.08401
Warga, J.
1965
Homeomorphisms and local $$C^ 1$$ approximations. Zbl 0652.46029
Warga, J.
1988
On a class of iterative procedures for solving normal systems of ordinary differential equations. Zbl 0050.12303
Warga, J.
1953
Optimal controls with pseudodelays. Zbl 0256.49010
Warga, J.
1974
Conflicting and minimax controls. Zbl 0186.49202
Warga, J.
1971
On a class of pursuit and evasion problems. Zbl 0206.45803
Warga, J.
1971
On the characterization of properly relaxed delayed controls. Zbl 0902.49006
Rosenblueth, J. F.; Warga, J.; Zhu, Q. J.
1997
On bounding, interior and covering functions. Zbl 0465.49026
Warga, J.
1981
Nonsmooth problems with conflicting controls. Zbl 0749.90098
Warga, J.
1991
A necessary and sufficient condition for a constrained minimum. Zbl 0770.90068
Warga, J.
1992
A uniqueness theorem and a counterexample for ordinary differential equations. Zbl 1120.34302
Warga, J.
2007
The equivalence of extremals in different representations of unbounded control problems. Zbl 0808.49008
Warga, J.; Zhu, Q. J.
1994
A hybrid relaxed-Lagrangian second order condition for minimum. Zbl 0414.49011
Warga, J.
1979
Iterative procedures for constrained and unilateral optimization problems. Zbl 0481.49021
Warga, J.
1982
A topological index condition for conical controllability. Zbl 0786.46007
Fang, G. X.; Warga, J.
1992
Functions with unstable images. I: Cracks of codimension 1. Zbl 0784.54014
Fang, G. X.; Warga, J.
1992
Functions with unstable images. II: Cracks of positive codimensions. Zbl 0784.54015
Fang, G. X.; Warga, J.
1992
A convergent procedure for solving the thermo-chemical equilibrium problem. Zbl 0199.22701
Warga, J.
1963
Global directional controllability. Zbl 0702.93008
Warga, J.
1989
Problems with delayed and shifted controls. Zbl 0967.49014
Warga, J.
2000
Relaxed derivatives and extremality conditions in optimal control. Zbl 1253.49015
Warga, Jack
2012
Relaxed derivatives and extremality conditions in optimal control. Zbl 1253.49015
Warga, Jack
2012
A uniqueness theorem and a counterexample for ordinary differential equations. Zbl 1120.34302
Warga, J.
2007
Problems with delayed and shifted controls. Zbl 0967.49014
Warga, J.
2000
On the characterization of properly relaxed delayed controls. Zbl 0902.49006
Rosenblueth, J. F.; Warga, J.; Zhu, Q. J.
1997
A proper relaxation of controls with variable shifts. Zbl 0901.49005
Warga, J.
1995
The equivalence of extremals in different representations of unbounded control problems. Zbl 0808.49008
Warga, J.; Zhu, Q. J.
1994
A proper relaxation of shifted and delayed controls. Zbl 0776.49008
Warga, J.; Zhu, Q. J.
1992
A necessary and sufficient condition for a constrained minimum. Zbl 0770.90068
Warga, J.
1992
A topological index condition for conical controllability. Zbl 0786.46007
Fang, G. X.; Warga, J.
1992
Functions with unstable images. I: Cracks of codimension 1. Zbl 0784.54014
Fang, G. X.; Warga, J.
1992
Functions with unstable images. II: Cracks of positive codimensions. Zbl 0784.54015
Fang, G. X.; Warga, J.
1992
Nonsmooth problems with conflicting controls. Zbl 0749.90098
Warga, J.
1991
An extension of the Kaskosz maximum principle. Zbl 0714.49025
Warga, J.
1990
Global directional controllability. Zbl 0702.93008
Warga, J.
1989
Higher-order conditions for conical controllability. Zbl 0695.49020
Warga, J.
1988
Homeomorphisms and local $$C^ 1$$ approximations. Zbl 0652.46029
Warga, J.
1988
Higher order conditions with and without Lagrange multipliers. Zbl 0595.49017
Warga, J.
1986
Second order controllability and optimization with ordinary controls. Zbl 0559.49015
Warga, J.
1985
Controllability, extremality, and abnormality in nonsmooth optimal control. Zbl 0497.49033
Warga, J.
1983
Optimization and controllability without differentiability assumptions. Zbl 0526.49026
Warga, J.
1983
Iterative procedures for constrained and unilateral optimization problems. Zbl 0481.49021
Warga, J.
1982
Fat homeomorphisms and unbounded derivate containers. Zbl 0476.26006
Warga, J.
1981
On bounding, interior and covering functions. Zbl 0465.49026
Warga, J.
1981
A hybrid relaxed-Lagrangian second order condition for minimum. Zbl 0414.49011
Warga, J.
1979
A second-order condition that strengthens Pontryagin’s maximum principle. Zbl 0346.49012
Warga, J.
1978
A second-order Lagrangian condition for restricted control problems. Zbl 0351.49003
Warga, J.
1978
Controllability of nondifferentiable hereditary processes. Zbl 0392.93010
Warga, J.
1978
Controllability and a multiplier rule for nondifferentiable optimization problems. Zbl 0411.90075
Warga, J.
1978
An implicit function theorem without differentiability. Zbl 0348.26012
Warga, J.
1978
Steepest descent with relaxed controls. Zbl 0356.49018
Warga, J.
1977
Derivate containers, inverse functions, and controllability. Zbl 0355.26004
Warga, Jack
1976
Controllability and necessary conditions in unilateral problems without differentiability assumptions. Zbl 0325.49008
Warga, J.
1976
Necessary conditions without differentiability assumptions in unilateral control problems. Zbl 0323.49008
Warga, J.
1976
Necessary conditions without differentiability assumptions in optimal control. Zbl 0272.49005
Warga, J.
1975
Optimal controls with pseudodelays. Zbl 0256.49010
Warga, J.
1974
Optimal control of differential and functional equations. Zbl 0253.49001
Warga, J.
1972
Normal control problems have no minimizing strictly original solutions. Zbl 0237.49004
Warga, J.
1971
Conflicting and minimax controls. Zbl 0186.49202
Warga, J.
1971
On a class of pursuit and evasion problems. Zbl 0206.45803
Warga, J.
1971
Comments on the paper ’Optimal control of processes described by integral equations. I’ by V. R. Vinokurov. Zbl 0206.16503
1970
Control problems with functional restrictions. Zbl 0205.16701
Warga, J.
1970
Unilateral and minimax control problems defined by integral equations. Zbl 0205.16801
Warga, J.
1970
Relaxed controls for functional equations. Zbl 0187.07904
Warga, J.
1970
The reduction of certain control problems to an ’ordinary differential’ type. Zbl 0155.14703
Warga, J.
1968
Functions of relaxed controls. Zbl 0234.49007
Warga, J.
1967
Restricted minima of functions of controls. Zbl 0234.49008
Warga, J.
1967
Variational problems with unbounded controls. Zbl 0201.47803
Warga, J.
1965
Minimax problems and unilateral curves in the calculus of variations. Zbl 0137.08302
Warga, J.
1965
On a class of minimax problems in the calculus of variations. Zbl 0133.36401
Warga, J.
1965
Unilateral variational problems with several inequalities. Zbl 0137.08401
Warga, J.
1965
Minimizing variational curves restricted to a preassigned set. Zbl 0129.07403
Warga, J.
1964
Minimizing certain convex functions. Zbl 0128.05801
Warga, J.
1963
A convergent procedure for solving the thermo-chemical equilibrium problem. Zbl 0199.22701
Warga, J.
1963
Relaxed variational problems. Zbl 0102.31801
Warga, J.
1962
Necessary conditions for minimum in relaxed variational problems. Zbl 0102.31802
Warga, J.
1962
On a class of iterative procedures for solving normal systems of ordinary differential equations. Zbl 0050.12303
Warga, J.
1953
On the representation of large integers as sums of primes. I. Zbl 0038.18602
Shapiro, Harold N.; Warga, Jack
1950
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all top 5

### Cited in 173 Serials

 95 Journal of Optimization Theory and Applications 77 Journal of Mathematical Analysis and Applications 38 Proceedings of the Steklov Institute of Mathematics 24 Nonlinear Analysis. Theory, Methods & Applications 23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Applied Mathematics and Optimization 16 Journal of Applied Mathematics and Mechanics 16 Journal of Differential Equations 15 SIAM Journal on Control and Optimization 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Optimization 12 Numerical Functional Analysis and Optimization 11 Automation and Remote Control 10 International Journal of Control 10 Mathematical Notes 10 Journal of Mathematical Sciences (New York) 10 Set-Valued and Variational Analysis 9 Cybernetics 9 Systems & Control Letters 9 Cybernetics and Systems Analysis 9 Differential Equations 8 Transactions of the American Mathematical Society 8 Doklady Mathematics 8 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 7 Journal of Soviet Mathematics 7 Discrete and Continuous Dynamical Systems 6 International Journal of Systems Science 6 Prikladnaya Matematika i Mekhanika 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Automatica 6 Computational Mathematics and Mathematical Physics 6 Russian Mathematics 6 Set-Valued Analysis 6 Mathematical Control and Related Fields 5 Archive for Rational Mechanics and Analysis 5 Applied Mathematics and Computation 5 Proceedings of the American Mathematical Society 5 Applied Mathematics Letters 5 Mathematical Programming. Series A. Series B 5 European Journal of Control 5 Journal of Dynamical and Control Systems 5 Nonlinear Analysis. Hybrid Systems 4 Computers & Mathematics with Applications 4 Stochastics 4 Siberian Mathematical Journal 4 Stochastic Analysis and Applications 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 4 Journal of Dynamics and Games 4 Vestnik Rossiĭskikh Universitetov. Matematika 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Kodai Mathematical Journal 3 Kybernetika 3 Mathematical and Computer Modelling 3 Journal of Global Optimization 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Optimization 3 Journal of Inverse and Ill-Posed Problems 3 Bulletin of the American Mathematical Society 3 Discrete and Continuous Dynamical Systems. Series S 3 Minimax Theory and its Applications 3 Ural Mathematical Journal 2 Journal d’Analyse Mathématique 2 Ukrainian Mathematical Journal 2 Archiv der Mathematik 2 International Journal of Game Theory 2 Journal of Computer and System Sciences 2 Journal of Mathematical Economics 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Numerische Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Theoretical Computer Science 2 Acta Applicandae Mathematicae 2 MCSS. Mathematics of Control, Signals, and Systems 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Dynamics and Differential Equations 2 Journal of Computer and Systems Sciences International 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Population Studies 2 Finance and Stochastics 2 Journal of Biological Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Optimization Letters 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Dynamic Games and Applications 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Analysis Mathematica 1 Applicable Analysis 1 Journal of the Franklin Institute 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Metrika 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) ...and 73 more Serials
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### Cited in 37 Fields

 493 Calculus of variations and optimal control; optimization (49-XX) 230 Systems theory; control (93-XX) 115 Operations research, mathematical programming (90-XX) 107 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 83 Ordinary differential equations (34-XX) 66 Numerical analysis (65-XX) 58 Partial differential equations (35-XX) 43 Real functions (26-XX) 40 Functional analysis (46-XX) 33 Probability theory and stochastic processes (60-XX) 32 General topology (54-XX) 29 Operator theory (47-XX) 26 Measure and integration (28-XX) 24 Global analysis, analysis on manifolds (58-XX) 19 Integral equations (45-XX) 13 Dynamical systems and ergodic theory (37-XX) 9 Computer science (68-XX) 9 Mechanics of particles and systems (70-XX) 9 Biology and other natural sciences (92-XX) 6 Convex and discrete geometry (52-XX) 6 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 4 Number theory (11-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 2 Functions of a complex variable (30-XX) 2 Manifolds and cell complexes (57-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

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