Edit Profile (opens in new tab) Warga, Jack Compute Distance To: Compute 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. 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 Open 57 Publications have been cited 1,056 times in 791 Documents Cited by ▼ Year ▼ Optimal control of differential and functional equations. Zbl 0253.49001Warga, J. 506 1972 Relaxed variational problems. Zbl 0102.31801Warga, J. 78 1962 Fat homeomorphisms and unbounded derivate containers. Zbl 0476.26006Warga, J. 38 1981 Functions of relaxed controls. Zbl 0234.49007Warga, J. 30 1967 Variational problems with unbounded controls. Zbl 0201.47803Warga, J. 27 1965 Derivate containers, inverse functions, and controllability. Zbl 0355.26004Warga, Jack 25 1976 Controllability, extremality, and abnormality in nonsmooth optimal control. Zbl 0497.49033Warga, J. 23 1983 Minimizing certain convex functions. Zbl 0128.05801Warga, J. 21 1963 Necessary conditions for minimum in relaxed variational problems. Zbl 0102.31802Warga, J. 20 1962 Optimization and controllability without differentiability assumptions. Zbl 0526.49026Warga, J. 19 1983 Controllability and necessary conditions in unilateral problems without differentiability assumptions. Zbl 0325.49008Warga, J. 17 1976 Necessary conditions without differentiability assumptions in optimal control. Zbl 0272.49005Warga, J. 16 1975 Comments on the paper ’Optimal control of processes described by integral equations. I’ by V. R. Vinokurov. Zbl 0206.16503Neustadt, L. W.; Warga, J. 15 1970 A second-order condition that strengthens Pontryagin’s maximum principle. Zbl 0346.49012Warga, J. 13 1978 A second-order Lagrangian condition for restricted control problems. Zbl 0351.49003Warga, J. 13 1978 Steepest descent with relaxed controls. Zbl 0356.49018Warga, J. 13 1977 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 Normal control problems have no minimizing strictly original solutions. Zbl 0237.49004Warga, J. 9 1971 A proper relaxation of shifted and delayed controls. Zbl 0776.49008Warga, J.; Zhu, Q. J. 8 1992 The reduction of certain control problems to an ’ordinary differential’ type. Zbl 0155.14703Warga, J. 8 1968 Control problems with functional restrictions. Zbl 0205.16701Warga, J. 8 1970 Controllability of nondifferentiable hereditary processes. Zbl 0392.93010Warga, J. 8 1978 Unilateral and minimax control problems defined by integral equations. Zbl 0205.16801Warga, J. 7 1970 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 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 On a class of minimax problems in the calculus of variations. Zbl 0133.36401Warga, J. 5 1965 Relaxed controls for functional equations. Zbl 0187.07904Warga, J. 5 1970 Restricted minima of functions of controls. Zbl 0234.49008Warga, J. 5 1967 Higher-order conditions for conical controllability. Zbl 0695.49020Warga, J. 5 1988 An extension of the Kaskosz maximum principle. Zbl 0714.49025Warga, J. 5 1990 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 Unilateral variational problems with several inequalities. Zbl 0137.08401Warga, J. 4 1965 Homeomorphisms and local \(C^ 1\) approximations. Zbl 0652.46029Warga, J. 4 1988 On a class of iterative procedures for solving normal systems of ordinary differential equations. Zbl 0050.12303Warga, J. 4 1953 Optimal controls with pseudodelays. Zbl 0256.49010Warga, J. 3 1974 Conflicting and minimax controls. Zbl 0186.49202Warga, J. 3 1971 On a class of pursuit and evasion problems. Zbl 0206.45803Warga, J. 3 1971 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 Nonsmooth problems with conflicting controls. Zbl 0749.90098Warga, J. 2 1991 A necessary and sufficient condition for a constrained minimum. Zbl 0770.90068Warga, J. 2 1992 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 hybrid relaxed-Lagrangian second order condition for minimum. Zbl 0414.49011Warga, J. 2 1979 Iterative procedures for constrained and unilateral optimization problems. Zbl 0481.49021Warga, J. 2 1982 A topological index condition for conical controllability. Zbl 0786.46007Fang, G. X.; Warga, J. 1 1992 Functions with unstable images. I: Cracks of codimension 1. Zbl 0784.54014Fang, G. X.; Warga, J. 1 1992 Functions with unstable images. II: Cracks of positive codimensions. Zbl 0784.54015Fang, G. X.; Warga, J. 1 1992 A convergent procedure for solving the thermo-chemical equilibrium problem. Zbl 0199.22701Warga, J. 1 1963 Global directional controllability. Zbl 0702.93008Warga, J. 1 1989 Problems with delayed and shifted controls. Zbl 0967.49014Warga, J. 1 2000 Relaxed derivatives and extremality conditions in optimal control. Zbl 1253.49015Warga, Jack 1 2012 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 A topological index condition for conical controllability. Zbl 0786.46007Fang, G. X.; Warga, J. 1 1992 Functions with unstable images. I: Cracks of codimension 1. Zbl 0784.54014Fang, G. X.; Warga, J. 1 1992 Functions with unstable images. II: Cracks of positive codimensions. Zbl 0784.54015Fang, 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. 23 1983 Optimization and controllability without differentiability assumptions. Zbl 0526.49026Warga, J. 19 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. 38 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 condition that strengthens Pontryagin’s maximum principle. Zbl 0346.49012Warga, J. 13 1978 A second-order Lagrangian condition for restricted control problems. Zbl 0351.49003Warga, 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 Steepest descent with relaxed controls. Zbl 0356.49018Warga, J. 13 1977 Derivate containers, inverse functions, and controllability. Zbl 0355.26004Warga, Jack 25 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. 506 1972 Normal control problems have no minimizing strictly original solutions. Zbl 0237.49004Warga, J. 9 1971 Conflicting and minimax controls. Zbl 0186.49202Warga, J. 3 1971 On a class of pursuit and evasion problems. Zbl 0206.45803Warga, 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. 15 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. 30 1967 Restricted minima of functions of controls. Zbl 0234.49008Warga, J. 5 1967 Variational problems with unbounded controls. Zbl 0201.47803Warga, J. 27 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. 21 1963 A convergent procedure for solving the thermo-chemical equilibrium problem. Zbl 0199.22701Warga, J. 1 1963 Relaxed variational problems. Zbl 0102.31801Warga, J. 78 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 707 Authors 44 Chentsov, Aleksandr Georgievich 25 Warga, Jack 17 Vinter, Richard B. 14 Sumin, Mikhail Iosifovich 12 Mordukhovich, Boris S. 11 Papageorgiou, Nikolaos S. 10 Arutyunov, Aram Vladimirovic 10 Chryssoverghi, Ion N. 10 Motta, Monica 10 Rosenblueth, Javier F. 10 Roubíček, Tomáš 10 Smol’yakov, Èduard Rimovich 9 Averboukh, Yuriĭ Vladimirovich 9 Balder, Erik J. 9 Chikriĭ, Arkadiĭ Alekseevich 9 Medhin, Negash G. 9 Teo, Kok Lay 8 Clarke, Francis H. 8 Karamzin, Dmitry Yu. 8 Staritsyn, Maksim Vladimirovich 7 Banks, Harvey Thomas 7 Hritonenko, Natali 7 Kaśkosz, Barbara 7 Lou, Hongwei 7 Nowak, Andrzej S. 7 Pourciau, Bruce H. 7 Subbotina, Nina N. 6 Gurman, Vladimir Iosifovich 6 Ioffe, Alexander Davidovich 6 Ledyaev, Yuri Semenovich 6 Lobo Pereira, Fernando 6 Maksimov, Vyacheslav Ivanovich 6 Yatsenko, Yuri 6 Zhu, Qiji Jim 5 Artstein, Zvi 5 Coletsos, John 5 Dinh The Luc 5 Ghosh, Mrinal Kanti 5 Hammer, Jacob 5 Huseyin, Nesir 5 Kokkinis, Basilis 5 Kružík, Martin 5 Luan, Shu 5 Palladino, Michele 5 Steinberg, Avraham M. 5 Yong, Jiongmin 5 Zeidan, Vera Michel 4 Ahmed, Nasir Uddin 4 Choi, Ho-Lim 4 Colonius, Fritz 4 Escobedo-Trujillo, Beatris Adriana 4 Frankowska, Hélène 4 Guseinov, Khalik G. 4 Huseyin, Anar 4 Jaśkiewicz, Anna 4 Kolpakova, Ekaterina A. 4 Korotkiĭ, Aleksandr Illarionovich 4 Kryazhimskiĭ, Arkadiĭ Viktorovich 4 Loewen, Philip D. 4 Łojasiewicz, Stanisław jun. 4 Miele, Angelo 4 Pappas, Georgios S. 4 Pytkeev, Evgeniĭ Georgevich 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 3 Angell, Thomas S. 3 Arada, Nadir 3 Baklanov, Artem Pavlovich 3 Balbus, Łukasz 3 Boccia, Andrea 3 Bonnans, Joseph Frédéric 3 Borwein, Jonathan Michael 3 Clements, David J. 3 de Oliveira, Valeriano Antunes 3 Fusco, Giovanni 3 Goncharova, Elena Vladimirovna 3 Gusejnov, Kh. G. 3 Ledzewicz, Urszula 3 Mayne, David Q. 3 Pang, Jong-Shi 3 Pedregal, Pablo 3 Pradhan, Somnath 3 Sagara, Nobusumi 3 Sánchez Fernández De La Vega, Constanza 3 Sattayatham, Pairote 3 Serkov, Dmitriĭ Aleksandrovich 3 Serovaĭskiĭ, Simon Ya. 3 Shapar’, Yuliya Viktorovna 3 Sorokin, Stepan Pavlovich 3 Sumin, Vladimir Iosifovich 3 Wang, Weihan 3 Zhang, Haisen ...and 607 more Authors 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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