Edit Profile Warga, Jack Compute Distance To: Compute Author ID: warga.jack Published as: Warga, J.; Warga, Jack External Links: MGP · Wikidata · dblp · MacTutor Documents Indexed: 69 Publications since 1950, including 1 Book Biographic References: 4 Publications all top 5 Co-Authors 60 single-authored 3 Zhu, Qiji Jim 2 Fang, Genxi 1 Fang, Guang-xiong 1 Hailey, W. C. 1 Neustadt, Lucien W. 1 Rosenblueth, Javier F. 1 Shapiro, Harold N. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 58 Publications have been cited 1,019 times in 758 Documents Cited by ▼ Year ▼ Optimal control of differential and functional equations. Zbl 0253.49001Warga, J. 482 1972 Relaxed variational problems. Zbl 0102.31801Warga, J. 77 1962 Fat homeomorphisms and unbounded derivate containers. Zbl 0476.26006Warga, J. 39 1981 Functions of relaxed controls. Zbl 0234.49007Warga, J. 28 1967 Derivate containers, inverse functions, and controllability. Zbl 0355.26004Warga, Jack 27 1976 Variational problems with unbounded controls. Zbl 0201.47803Warga, J. 24 1965 Controllability, extremality, and abnormality in nonsmooth optimal control. Zbl 0497.49033Warga, J. 21 1983 Necessary conditions for minimum in relaxed variational problems. Zbl 0102.31802Warga, J. 20 1962 Minimizing certain convex functions. Zbl 0128.05801Warga, J. 19 1963 Controllability and necessary conditions in unilateral problems without differentiability assumptions. Zbl 0325.49008Warga, J. 17 1976 Optimization and controllability without differentiability assumptions. Zbl 0526.49026Warga, J. 16 1983 Necessary conditions without differentiability assumptions in optimal control. Zbl 0272.49005Warga, J. 16 1975 A second-order Lagrangian condition for restricted control problems. Zbl 0351.49003Warga, J. 13 1978 A second-order condition that strengthens Pontryagin’s maximum principle. Zbl 0346.49012Warga, J. 13 1978 Steepest descent with relaxed controls. Zbl 0356.49018Warga, J. 13 1977 Comments on the paper ’Optimal control of processes described by integral equations. I’ by V. R. Vinokurov. Zbl 0206.16503Neustadt, L. W.; Warga, J. 13 1970 Necessary conditions without differentiability assumptions in unilateral control problems. Zbl 0323.49008Warga, J. 11 1976 Minimizing variational curves restricted to a preassigned set. Zbl 0129.07403Warga, J. 11 1964 Minimax problems and unilateral curves in the calculus of variations. Zbl 0137.08302Warga, J. 9 1965 A proper relaxation of shifted and delayed controls. Zbl 0776.49008Warga, J.; Zhu, Q. J. 8 1992 Controllability of nondifferentiable hereditary processes. Zbl 0392.93010Warga, J. 8 1978 Control problems with functional restrictions. Zbl 0205.16701Warga, J. 8 1970 The reduction of certain control problems to an ’ordinary differential’ type. Zbl 0155.14703Warga, J. 8 1968 Controllability and a multiplier rule for nondifferentiable optimization problems. Zbl 0411.90075Warga, J. 7 1978 Normal control problems have no minimizing strictly original solutions. Zbl 0237.49004Warga, J. 7 1971 Unilateral and minimax control problems defined by integral equations. Zbl 0205.16801Warga, J. 7 1970 An implicit function theorem without differentiability. Zbl 0348.26012Warga, J. 6 1978 An extension of the Kaskosz maximum principle. Zbl 0714.49025Warga, J. 5 1990 Higher-order conditions for conical controllability. Zbl 0695.49020Warga, J. 5 1988 Higher order conditions with and without Lagrange multipliers. Zbl 0595.49017Warga, J. 5 1986 Second order controllability and optimization with ordinary controls. Zbl 0559.49015Warga, J. 5 1985 Relaxed controls for functional equations. Zbl 0187.07904Warga, J. 5 1970 Restricted minima of functions of controls. Zbl 0234.49008Warga, J. 5 1967 On a class of minimax problems in the calculus of variations. Zbl 0133.36401Warga, J. 5 1965 On the representation of large integers as sums of primes. I. Zbl 0038.18602Shapiro, Harold N.; Warga, Jack 5 1950 A proper relaxation of controls with variable shifts. Zbl 0901.49005Warga, J. 4 1995 Homeomorphisms and local \(C^ 1\) approximations. Zbl 0652.46029Warga, J. 4 1988 Unilateral variational problems with several inequalities. Zbl 0137.08401Warga, J. 4 1965 On a class of iterative procedures for solving normal systems of ordinary differential equations. Zbl 0050.12303Warga, J. 4 1953 On the characterization of properly relaxed delayed controls. Zbl 0902.49006Rosenblueth, J. F.; Warga, J.; Zhu, Q. J. 3 1997 On bounding, interior and covering functions. Zbl 0465.49026Warga, J. 3 1981 Optimal controls with pseudodelays. Zbl 0256.49010Warga, J. 3 1974 On a class of pursuit and evasion problems. Zbl 0206.45803Warga, J. 3 1971 Conflicting and minimax controls. Zbl 0186.49202Warga, J. 3 1971 A uniqueness theorem and a counterexample for ordinary differential equations. Zbl 1120.34302Warga, J. 2 2007 The equivalence of extremals in different representations of unbounded control problems. Zbl 0808.49008Warga, J.; Zhu, Q. J. 2 1994 A necessary and sufficient condition for a constrained minimum. Zbl 0770.90068Warga, J. 2 1992 Nonsmooth problems with conflicting controls. Zbl 0749.90098Warga, J. 2 1991 Iterative procedures for constrained and unilateral optimization problems. Zbl 0481.49021Warga, J. 2 1982 A hybrid relaxed-Lagrangian second order condition for minimum. Zbl 0414.49011Warga, J. 2 1979 Relaxed derivatives and extremality conditions in optimal control. Zbl 1253.49015Warga, Jack 1 2012 Problems with delayed and shifted controls. Zbl 0967.49014Warga, J. 1 2000 Functions with unstable images. II: Cracks of positive codimensions. Zbl 0784.54015Fang, G. X.; Warga, J. 1 1992 Functions with unstable images. I: Cracks of codimension 1. Zbl 0784.54014Fang, G. X.; Warga, J. 1 1992 A topological index condition for conical controllability. Zbl 0786.46007Fang, G. X.; Warga, J. 1 1992 Global directional controllability. Zbl 0702.93008Warga, J. 1 1989 Necessary conditions for minimum of orders zero and two. Zbl 0454.49022Warga, Jack 1 1978 A convergent procedure for solving the thermo-chemical equilibrium problem. Zbl 0199.22701Warga, J. 1 1963 Relaxed derivatives and extremality conditions in optimal control. Zbl 1253.49015Warga, Jack 1 2012 A uniqueness theorem and a counterexample for ordinary differential equations. Zbl 1120.34302Warga, J. 2 2007 Problems with delayed and shifted controls. Zbl 0967.49014Warga, J. 1 2000 On the characterization of properly relaxed delayed controls. Zbl 0902.49006Rosenblueth, J. F.; Warga, J.; Zhu, Q. J. 3 1997 A proper relaxation of controls with variable shifts. Zbl 0901.49005Warga, J. 4 1995 The equivalence of extremals in different representations of unbounded control problems. Zbl 0808.49008Warga, J.; Zhu, Q. J. 2 1994 A proper relaxation of shifted and delayed controls. Zbl 0776.49008Warga, J.; Zhu, Q. J. 8 1992 A necessary and sufficient condition for a constrained minimum. Zbl 0770.90068Warga, J. 2 1992 Functions with unstable images. II: Cracks of positive codimensions. Zbl 0784.54015Fang, G. X.; Warga, J. 1 1992 Functions with unstable images. I: Cracks of codimension 1. Zbl 0784.54014Fang, G. X.; Warga, J. 1 1992 A topological index condition for conical controllability. Zbl 0786.46007Fang, G. X.; Warga, J. 1 1992 Nonsmooth problems with conflicting controls. Zbl 0749.90098Warga, J. 2 1991 An extension of the Kaskosz maximum principle. Zbl 0714.49025Warga, J. 5 1990 Global directional controllability. Zbl 0702.93008Warga, J. 1 1989 Higher-order conditions for conical controllability. Zbl 0695.49020Warga, J. 5 1988 Homeomorphisms and local \(C^ 1\) approximations. Zbl 0652.46029Warga, J. 4 1988 Higher order conditions with and without Lagrange multipliers. Zbl 0595.49017Warga, J. 5 1986 Second order controllability and optimization with ordinary controls. Zbl 0559.49015Warga, J. 5 1985 Controllability, extremality, and abnormality in nonsmooth optimal control. Zbl 0497.49033Warga, J. 21 1983 Optimization and controllability without differentiability assumptions. Zbl 0526.49026Warga, J. 16 1983 Iterative procedures for constrained and unilateral optimization problems. Zbl 0481.49021Warga, J. 2 1982 Fat homeomorphisms and unbounded derivate containers. Zbl 0476.26006Warga, J. 39 1981 On bounding, interior and covering functions. Zbl 0465.49026Warga, J. 3 1981 A hybrid relaxed-Lagrangian second order condition for minimum. Zbl 0414.49011Warga, J. 2 1979 A second-order Lagrangian condition for restricted control problems. Zbl 0351.49003Warga, J. 13 1978 A second-order condition that strengthens Pontryagin’s maximum principle. Zbl 0346.49012Warga, J. 13 1978 Controllability of nondifferentiable hereditary processes. Zbl 0392.93010Warga, J. 8 1978 Controllability and a multiplier rule for nondifferentiable optimization problems. Zbl 0411.90075Warga, J. 7 1978 An implicit function theorem without differentiability. Zbl 0348.26012Warga, J. 6 1978 Necessary conditions for minimum of orders zero and two. Zbl 0454.49022Warga, Jack 1 1978 Steepest descent with relaxed controls. Zbl 0356.49018Warga, J. 13 1977 Derivate containers, inverse functions, and controllability. Zbl 0355.26004Warga, Jack 27 1976 Controllability and necessary conditions in unilateral problems without differentiability assumptions. Zbl 0325.49008Warga, J. 17 1976 Necessary conditions without differentiability assumptions in unilateral control problems. Zbl 0323.49008Warga, J. 11 1976 Necessary conditions without differentiability assumptions in optimal control. Zbl 0272.49005Warga, J. 16 1975 Optimal controls with pseudodelays. Zbl 0256.49010Warga, J. 3 1974 Optimal control of differential and functional equations. Zbl 0253.49001Warga, J. 482 1972 Normal control problems have no minimizing strictly original solutions. Zbl 0237.49004Warga, J. 7 1971 On a class of pursuit and evasion problems. Zbl 0206.45803Warga, J. 3 1971 Conflicting and minimax controls. Zbl 0186.49202Warga, J. 3 1971 Comments on the paper ’Optimal control of processes described by integral equations. I’ by V. R. Vinokurov. Zbl 0206.16503Neustadt, L. W.; Warga, J. 13 1970 Control problems with functional restrictions. Zbl 0205.16701Warga, J. 8 1970 Unilateral and minimax control problems defined by integral equations. Zbl 0205.16801Warga, J. 7 1970 Relaxed controls for functional equations. Zbl 0187.07904Warga, J. 5 1970 The reduction of certain control problems to an ’ordinary differential’ type. Zbl 0155.14703Warga, J. 8 1968 Functions of relaxed controls. Zbl 0234.49007Warga, J. 28 1967 Restricted minima of functions of controls. Zbl 0234.49008Warga, J. 5 1967 Variational problems with unbounded controls. Zbl 0201.47803Warga, J. 24 1965 Minimax problems and unilateral curves in the calculus of variations. Zbl 0137.08302Warga, J. 9 1965 On a class of minimax problems in the calculus of variations. Zbl 0133.36401Warga, J. 5 1965 Unilateral variational problems with several inequalities. Zbl 0137.08401Warga, J. 4 1965 Minimizing variational curves restricted to a preassigned set. Zbl 0129.07403Warga, J. 11 1964 Minimizing certain convex functions. Zbl 0128.05801Warga, J. 19 1963 A convergent procedure for solving the thermo-chemical equilibrium problem. Zbl 0199.22701Warga, J. 1 1963 Relaxed variational problems. Zbl 0102.31801Warga, J. 77 1962 Necessary conditions for minimum in relaxed variational problems. Zbl 0102.31802Warga, J. 20 1962 On a class of iterative procedures for solving normal systems of ordinary differential equations. Zbl 0050.12303Warga, J. 4 1953 On the representation of large integers as sums of primes. I. Zbl 0038.18602Shapiro, Harold N.; Warga, Jack 5 1950 all cited Publications top 5 cited Publications all top 5 Cited by 729 Authors 36 Chentsov, Aleksandr Georgievich 25 Warga, Jack 16 Vinter, Richard B. 12 Mordukhovich, Boris S. 11 Sumin, Mikhail Iosifovich 10 Chryssoverghi, Ion N. 10 Papageorgiou, Nikolaos S. 10 Rosenblueth, Javier F. 10 Roubíček, Tomáš 10 Smol’yakov, Èduard Rimovich 9 Arutyunov, Aram Vladimirovic 9 Balder, Erik J. 9 Chikriĭ, Arkadiĭ Alekseevich 9 Medhin, Negash G. 9 Teo, Kok Lay 8 Averboukh, Yuriĭ Vladimirovich 8 Clarke, Francis H. 8 Karamzin, Dmitry Yu. 8 Staritsyn, Maksim Vladimirovich 8 Zhu, Qiji Jim 7 Banks, Harvey Thomas 7 Kaśkosz, Barbara 7 Lou, Hongwei 7 Motta, Monica 7 Pourciau, Bruce H. 6 Gurman, Vladimir Iosifovich 6 Hritonenko, Natali 6 Ioffe, Alexander Davidovich 6 Ledyaev, Yuri Semenovich 6 Lobo Pereira, Fernando 6 Maksimov, Vyacheslav Ivanovich 6 Nowak, Andrzej S. 6 Subbotina, Nina N. 6 Yatsenko, Yuri 6 Zeidan, Vera Michel 5 Artstein, Zvi 5 Coletsos, John 5 Dinh The Luc 5 Kokkinis, Basilis 5 Kružík, Martin 5 Luan, Shu 5 Palladino, Michele 5 Steinberg, Avraham M. 5 Yong, Jiongmin 4 Borwein, Jonathan Michael 4 Choi, Ho-Lim 4 Colonius, Fritz 4 Escobedo-Trujillo, Beatris Adriana 4 Frankowska, Hélène 4 Hammer, Jacob 4 Korotkiĭ, Aleksandr Illarionovich 4 Kryazhimskiĭ, Arkadiĭ Viktorovich 4 Loewen, Philip D. 4 Łojasiewicz, Stanisław jun. 4 Miele, Angelo 4 Pappas, Georgios S. 4 Rampazzo, Franco 4 Rieger, Janosch 4 Sartori, Caterina 4 Silva, Geraldo Nunes 4 Thibault, Lionel 4 Ushakov, Vladimir Nikolaevich 4 Vakhrameev, S. A. 4 Wang, Lianwen 4 Yin, Gang George 4 Zhang, Qing 4 Zhang, Xu 3 Ahmed, Nasir Uddin 3 Angell, Thomas S. 3 Arada, Nadir 3 Bacopoulos, Alex 3 Baklanov, Artem Pavlovich 3 Balbus, Łukasz 3 Boccia, Andrea 3 Bonnans, Joseph Frédéric 3 Clements, David J. 3 de Oliveira, Valeriano Antunes 3 Ghosh, Mrinal Kanti 3 Glover, Bevil Milton 3 Goncharova, Elena Vladimirovna 3 Gusejnov, Kh. G. 3 Huseyin, Nesir 3 Jaśkiewicz, Anna 3 Kipka, Robert J. 3 Kolpakova, Ekaterina A. 3 Ledzewicz, Urszula 3 Páles, Zsolt 3 Pang, Jong-Shi 3 Pedregal, Pablo 3 Pytkeev, Evgeniĭ Georgevich 3 Sagara, Nobusumi 3 Sattayatham, Pairote 3 Serkov, Dmitriĭ Aleksandrovich 3 Shapar’, Yuliya Viktorovna 3 Sorokin, Stepan Pavlovich 3 Wang, Weihan 3 Zhang, Haisen 3 Zhukovskiĭ, Evgeniĭ Semenovich 3 Zhukovskiĭ, Sergeĭ Evgen’evich 2 Aronna, María Soledad ...and 629 more Authors all top 5 Cited in 164 Serials 92 Journal of Optimization Theory and Applications 78 Journal of Mathematical Analysis and Applications 36 Proceedings of the Steklov Institute of Mathematics 28 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 13 SIAM Journal on Control and Optimization 13 Optimization 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Numerical Functional Analysis and Optimization 10 Automation and Remote Control 10 Journal of Mathematical Sciences (New York) 9 International Journal of Control 9 Mathematical Notes 9 Cybernetics 9 Systems & Control Letters 9 Cybernetics and Systems Analysis 9 Set-Valued and Variational Analysis 8 Transactions of the American Mathematical Society 8 Doklady Mathematics 7 Automatica 7 Journal of Soviet Mathematics 7 Discrete and Continuous Dynamical Systems 7 Differential Equations 6 International Journal of Systems Science 6 Prikladnaya Matematika i Mekhanika 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Set-Valued Analysis 5 Archive for Rational Mechanics and Analysis 5 Applied Mathematics and Computation 5 Proceedings of the American Mathematical Society 5 Applied Mathematics Letters 5 Computational Mathematics and Mathematical Physics 5 Mathematical Programming. Series A. Series B 5 Russian Mathematics 5 European Journal of Control 5 Journal of Dynamical and Control Systems 5 Mathematical Control and Related Fields 4 Computers & Mathematics with Applications 4 Stochastics 4 Siberian Mathematical Journal 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Nonlinear Analysis. Hybrid Systems 4 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 4 Journal of Dynamics and Games 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 Stochastic Analysis and Applications 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 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 3 Minimax Theory and its Applications 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 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 2 Ural Mathematical Journal 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) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Aplikace Matematiky 1 Bulletin de la Société Mathématique de France 1 Calcolo ...and 64 more Serials all top 5 Cited in 37 Fields 480 Calculus of variations and optimal control; optimization (49-XX) 220 Systems theory; control (93-XX) 109 Operations research, mathematical programming (90-XX) 98 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 79 Ordinary differential equations (34-XX) 60 Numerical analysis (65-XX) 58 Partial differential equations (35-XX) 42 Real functions (26-XX) 39 Functional analysis (46-XX) 32 Probability theory and stochastic processes (60-XX) 29 General topology (54-XX) 26 Measure and integration (28-XX) 26 Operator theory (47-XX) 24 Global analysis, analysis on manifolds (58-XX) 17 Integral equations (45-XX) 12 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) 7 Convex and discrete geometry (52-XX) 6 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 4 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Approximations and expansions (41-XX) 2 Functions of a complex variable (30-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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