# zbMATH — the first resource for mathematics

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 Documents Indexed: 73 Publications since 1966, including 11 Books Reviewing Activity: 547 Reviews
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#### Co-Authors

 53 single-authored 4 Haug, Edward J. jun. 2 Coleman, Norman P. 2 Dannon, Victor 2 Field, David A. 2 Hallam, Thomas G. 2 Waid, Carter 1 Choi, Kyung Kook 1 Irwin, Carlton 1 Irwin, Caulton L. 1 McLaughlin, Thomas G. 1 Tumlin, Jerrel D. jun. 1 Valanis, Kirk C. 1 Walker, Billy
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#### Serials

 8 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 7 Journal of Mathematical Analysis and Applications 5 Annales Polonici Mathematici 4 Archives of Mechanics 2 International Journal of Mathematical Education in Science and Technology 2 Colloquium Mathematicum 2 Journal of Optimization Theory and Applications 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Applied Mathematics 2 International Journal of Control, I. Series 2 SIAM Journal on Control 2 Lecture Notes in Mathematics 1 Applicable Analysis 1 International Journal of Engineering Science 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Canadian Journal of Mathematics 1 Demonstratio Mathematica 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Acta Applicandae Mathematicae 1 Annales Societatis Mathematicae Polonae 1 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A 1 Contemporary Mathematics 1 Mathematics in Science and Engineering
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#### Fields

 36 Mechanics of deformable solids (74-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 16 Ordinary differential equations (34-XX) 10 Systems theory; control (93-XX) 9 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 2 Mathematical logic and foundations (03-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

37 Publications have been cited 391 times in 362 Documents Cited by Year
Design sensitivity analysis of structural systems. Zbl 0618.73106
Haug, Edward J.; Choi, Kyung K.; Komkov, Vadim
1986
Optimal control theory for the damping of vibrations of simple elastic systems. Zbl 0238.73038
1972
Certain estimates for solutions of nonlinear elliptic differential equations applicable to the theory of thin plates. Zbl 0304.35010
Komkov, V.
1975
Continuability and estimates of solutions of $$(a(t)\psi(x)x')'+c(t)f(x)=0$$. Zbl 0251.34003
1974
A technique for the detection o f oscillation of second order ordinary differential equations. Zbl 0241.34038
Komkov, V.
1972
A generalization of Leighton’s variational theorem. Zbl 0221.34018
Komkov, V.
1972
Optimal control theory for the damping of vibrations of simple elastic systems. Translated from the English original by I. T. Selezov. Edited by È. I. Grigolyuk. Zbl 0303.73067
1975
Application of Rall’s theorem to classical elastodynamics. Zbl 0145.45802
Komkov, V.
1966
Variational principles of continuum mechanics with engineering applications. Volume 1: Critical points theory. Zbl 0595.73018
1986
Optimal control of vibrating thin plates. Zbl 0198.20003
Komkov, V.
1970
The optimal control of a transverse vibration of a beam. Zbl 0165.10302
Komkov, V.
1968
Sensitivity analysis in distributed-parameter mechanical system optimization. Zbl 0346.49021
Haug, E. J. jun.; Komkov, V.
1977
On the location of zeros of second order differential equations. Zbl 0252.34037
1972
On boundedness and oscillation of the differential equation x”+ A(t)g(x) = f(t) in $$R^ n$$. Zbl 0223.34029
Komkov, V.
1972
On a variational formulation of problems in the classical continuum mechanics of solids. Zbl 0167.52802
Komkov, V.
1968
Sensitivity of functionals with applications to engineering sciences. Proceedings of a Special Session of the American Mathematical Society Spring Meeting held in New York City, May 1983. Zbl 0539.00022
Komkov, V. (ed.)
1984
Asymptotic behavior of non-linear differential equations via non-standard analysis. III: Boundedness and monotone behavior of the equation (a(t)phi(x)x’)’+c(t)f(x)=q(t). Zbl 0468.34038
Komkov, V.
1980
Irreversible thermodynamics from the point of view of internal variable theory (a Lagrangian formulation). Zbl 0428.73001
Valanis, K. C.; Komkov, V.
1980
Control theory, variational principles, and optimal design of elastic systems. Zbl 0453.49030
1978
An analytic approach to some problems of optimal design of beams and plates. Zbl 0357.73067
Komkov, V.; Coleman, N. P.
1975
Formulation of Pontryagin’s maximality principle in a problem of structural mechanics. Zbl 0256.73030
1973
Asymptotic behavior of nonlinear inhomogeneous differential equations via nonstandard analysis. I: Second order equations. Zbl 0226.34024
1972
Theoretical aspects of industrial design. Proceedings of the SIAM regional conference on industrial design theory, held at the Wright- Patterson AFB, Ohio, USA, April 25-26, 1990. Zbl 0754.00010
Field, David A. (ed.); Komkov, Vadim (ed.)
1992
Variational principles of continuum mechanics with engineering applications. Volume 2: Introduction to optimal design theory. Zbl 0659.73013
1988
Properties of the sensitivity functions. I: Differentiable functions. Zbl 0850.73194
Komkov, V.
1987
Sensitivity analysis in some engineering applications. More specifically in civil and mechanical engineering applications. Zbl 0547.49016
1984
Uniqueness for gradient methods in engineering optimization. Zbl 0545.49015
1984
Sensitivity analysis and model optimization for reaction-diffusion systems. Zbl 0541.93017
Irwin, C. L.; Komkov, V.
1984
Problems of elastic stability and vibrations. Proceedings of the special session on problems in elastic vibrations, stability and related topics held at the 786th meeting of the American Mathematical Society, Duquesne University, Pittsburgh, PA, USA, May 15–16, 1981. Zbl 1229.74004
1981
On the optimum shape of columns. Zbl 0517.73083
1981
Application of invariant variational principles to the optimal design of a column. Zbl 0461.73076
Komkov, V.
1981
The membrane analogy, Green’s function, conformal maps, and the Plateau problem. Zbl 0416.31004
Komkov, V.
1979
Another look at the dual variational principles. Zbl 0376.49008
1978
Variational principles for mechanical and structural systems with applications to optimality of design. Zbl 0363.93029
Komkov, V.
1977
Asymptotic behavior of non-linear inhomogeneous equations via non- standard analysis. I: Second order equations. Zbl 0252.34038
1973
Application of Liapunov’s functions to finite time stability. Zbl 0186.15302
Hallam, T. G.; Komkov, V.
1969
A note on the vibration of thin inhomogeneous plates. Zbl 0157.56202
Komkov, V.
1968
Theoretical aspects of industrial design. Proceedings of the SIAM regional conference on industrial design theory, held at the Wright- Patterson AFB, Ohio, USA, April 25-26, 1990. Zbl 0754.00010
Field, David A. (ed.); Komkov, Vadim (ed.)
1992
Variational principles of continuum mechanics with engineering applications. Volume 2: Introduction to optimal design theory. Zbl 0659.73013
1988
Properties of the sensitivity functions. I: Differentiable functions. Zbl 0850.73194
Komkov, V.
1987
Design sensitivity analysis of structural systems. Zbl 0618.73106
Haug, Edward J.; Choi, Kyung K.; Komkov, Vadim
1986
Variational principles of continuum mechanics with engineering applications. Volume 1: Critical points theory. Zbl 0595.73018
1986
Sensitivity of functionals with applications to engineering sciences. Proceedings of a Special Session of the American Mathematical Society Spring Meeting held in New York City, May 1983. Zbl 0539.00022
Komkov, V. (ed.)
1984
Sensitivity analysis in some engineering applications. More specifically in civil and mechanical engineering applications. Zbl 0547.49016
1984
Uniqueness for gradient methods in engineering optimization. Zbl 0545.49015
1984
Sensitivity analysis and model optimization for reaction-diffusion systems. Zbl 0541.93017
Irwin, C. L.; Komkov, V.
1984
Problems of elastic stability and vibrations. Proceedings of the special session on problems in elastic vibrations, stability and related topics held at the 786th meeting of the American Mathematical Society, Duquesne University, Pittsburgh, PA, USA, May 15–16, 1981. Zbl 1229.74004
1981
On the optimum shape of columns. Zbl 0517.73083
1981
Application of invariant variational principles to the optimal design of a column. Zbl 0461.73076
Komkov, V.
1981
Asymptotic behavior of non-linear differential equations via non-standard analysis. III: Boundedness and monotone behavior of the equation (a(t)phi(x)x’)’+c(t)f(x)=q(t). Zbl 0468.34038
Komkov, V.
1980
Irreversible thermodynamics from the point of view of internal variable theory (a Lagrangian formulation). Zbl 0428.73001
Valanis, K. C.; Komkov, V.
1980
The membrane analogy, Green’s function, conformal maps, and the Plateau problem. Zbl 0416.31004
Komkov, V.
1979
Control theory, variational principles, and optimal design of elastic systems. Zbl 0453.49030
1978
Another look at the dual variational principles. Zbl 0376.49008
1978
Sensitivity analysis in distributed-parameter mechanical system optimization. Zbl 0346.49021
Haug, E. J. jun.; Komkov, V.
1977
Variational principles for mechanical and structural systems with applications to optimality of design. Zbl 0363.93029
Komkov, V.
1977
Certain estimates for solutions of nonlinear elliptic differential equations applicable to the theory of thin plates. Zbl 0304.35010
Komkov, V.
1975
Optimal control theory for the damping of vibrations of simple elastic systems. Translated from the English original by I. T. Selezov. Edited by È. I. Grigolyuk. Zbl 0303.73067
1975
An analytic approach to some problems of optimal design of beams and plates. Zbl 0357.73067
Komkov, V.; Coleman, N. P.
1975
Continuability and estimates of solutions of $$(a(t)\psi(x)x')'+c(t)f(x)=0$$. Zbl 0251.34003
1974
Formulation of Pontryagin’s maximality principle in a problem of structural mechanics. Zbl 0256.73030
1973
Asymptotic behavior of non-linear inhomogeneous equations via non- standard analysis. I: Second order equations. Zbl 0252.34038
1973
Optimal control theory for the damping of vibrations of simple elastic systems. Zbl 0238.73038
1972
A technique for the detection o f oscillation of second order ordinary differential equations. Zbl 0241.34038
Komkov, V.
1972
A generalization of Leighton’s variational theorem. Zbl 0221.34018
Komkov, V.
1972
On the location of zeros of second order differential equations. Zbl 0252.34037
1972
On boundedness and oscillation of the differential equation x”+ A(t)g(x) = f(t) in $$R^ n$$. Zbl 0223.34029
Komkov, V.
1972
Asymptotic behavior of nonlinear inhomogeneous differential equations via nonstandard analysis. I: Second order equations. Zbl 0226.34024
1972
Optimal control of vibrating thin plates. Zbl 0198.20003
Komkov, V.
1970
Application of Liapunov’s functions to finite time stability. Zbl 0186.15302
Hallam, T. G.; Komkov, V.
1969
The optimal control of a transverse vibration of a beam. Zbl 0165.10302
Komkov, V.
1968
On a variational formulation of problems in the classical continuum mechanics of solids. Zbl 0167.52802
Komkov, V.
1968
A note on the vibration of thin inhomogeneous plates. Zbl 0157.56202
Komkov, V.
1968
Application of Rall’s theorem to classical elastodynamics. Zbl 0145.45802
Komkov, V.
1966
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#### Cited by 494 Authors

 13 Tortorelli, Daniel A. 12 Komkov, Vadim 12 Mukherjee, Subrata 9 Sadek, Ibrahim S. 8 Cho, Seonho 8 Feijóo, Raúl Antonino 7 Akulenko, Leonid Denisovich 7 Arora, Jasbir S. 7 Choi, Kyung Kook 6 Chleboun, Jan 6 Hlaváček, Ivan 6 Rao, Boggarapu Nageswara 6 Taroco, Edgardo O. 5 Adali, Sarp 5 Bruch, John C. jun. 5 Haber, Robert Bruce 5 Meriç, R. Alsan 5 Padra, Claudio 5 Sloss, James M. 5 Wang, Michael Yu 4 Barthold, Franz-Joseph 4 Bruns, Tyler E. 4 Chandra, Abhijit 4 Chen, Haibo 4 Haslinger, Jaroslav 4 Novotny, Antonio André 4 Rahman, Sharif 4 Schaefer, Philip W. 4 Subbarayan, Ganesh 4 Xia, Qi 4 Zheng, Changjun 4 Zolésio, Jean-Paul 3 Arthurs, A. M. 3 Bendsoe, Martin Philip 3 Borggaard, Jeff T. 3 Choi, Kun-Ki 3 Dai, Hua 3 Graef, John R. 3 Haftka, Raphael T. 3 Hien, Tran Duong 3 Kamiński, Marcin Marek 3 Kitamura, Mitsuru 3 Kwak, Byung Man 3 Lee, Boo Youn 3 Marini, Mauro 3 Meng, Fanwei 3 Michaleris, Panagiotis 3 Neittaanmäki, Pekka J. 3 Pelletier, Dominique H. 3 Shi, Tielin 3 Smith, Douglas E. 3 Sokołowski, Jan 3 Sugie, Jitsuro 3 Takezawa, Akihiro 3 Vidal, Creto Augusto 3 Wang, Pingxin 3 Xie, Huiqing 3 Zhou, Shiwei 2 Atanackovic, Teodor M. 2 Balakrishna, C. K. 2 Blanton, Maria L. 2 Bolotnik, Nikolai N. 2 Bonnet, Marc 2 Burczyński, Tadeusz S. 2 Casteleiro, Manuel 2 Cecchi, Mariella 2 Chen, Jiaqin 2 Chen, Leilei 2 Chenais, Denise 2 Choi, Jaeseok 2 Choi, Joo-Ho 2 de Souza Neto, Eduardo Alberto 2 Etienne, Stéphane 2 Fancello, Eduardo Alberto 2 Gerzen, Nikolai 2 Giusti, Sebastián M. 2 Grace, Said Rezk 2 Guo, Xu 2 Ha, Seung-Hyun 2 Ha, Youn Doh 2 Haug, Edward J. jun. 2 He, Zhicheng 2 Huang, Xiaodong 2 Kane, James H. 2 Kang, Zhan 2 Kerimbekov, Akylbek Kerimbekovich 2 Kim, Nam Ho 2 Kirsch, Uri 2 Kleiber, Michal 2 Klepfish, B. R. 2 Kolakowski, Przemyslaw 2 Kolpakov, Alexander G. 2 Kostoglotov, A. I. 2 Le, Chau 2 Li, Eric 2 Li, Qing 2 Materna, Daniel 2 Matsumoto, Toshiro 2 Mukherjee, Yu Xie 2 Myśliński, Andrzej ...and 394 more Authors
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#### Cited in 101 Serials

 85 Computer Methods in Applied Mechanics and Engineering 41 International Journal for Numerical Methods in Engineering 19 Journal of Mathematical Analysis and Applications 19 Structural and Multidisciplinary Optimization 13 Engineering Analysis with Boundary Elements 9 Computational Mechanics 8 International Journal of Engineering Science 8 Journal of Applied Mathematics and Mechanics 8 Journal of Optimization Theory and Applications 5 Acta Mechanica 4 Computers & Mathematics with Applications 4 Journal of Computational Physics 4 Journal of the Franklin Institute 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Applied Mathematics and Computation 4 Applications of Mathematics 3 Journal of the Mechanics and Physics of Solids 3 Kybernetika 3 Meccanica 3 Proceedings of the American Mathematical Society 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 Archive of Applied Mechanics 3 Nonlinear Analysis. Theory, Methods & Applications 2 International Journal for Numerical Methods in Fluids 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Prikladnaya Matematika i Mekhanika 2 Soviet Applied Mechanics 2 Aplikace Matematiky 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Journal of Soviet Mathematics 2 Numerical Functional Analysis and Optimization 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Automation and Remote Control 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Linear Algebra and its Applications 2 Communications in Numerical Methods in Engineering 2 Mathematical Problems in Engineering 2 Journal of Vibration and Control 2 Discrete Dynamics in Nature and Society 1 Computers and Fluids 1 International Journal of Heat and Mass Transfer 1 International Journal of Solids and Structures 1 International Journal of Systems Science 1 Journal of Engineering Mathematics 1 Mathematical Methods in the Applied Sciences 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 BIT 1 Fuzzy Sets and Systems 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computer Aided Geometric Design 1 Finite Elements in Analysis and Design 1 Constructive Approximation 1 Statistical Science 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Computer and Systems Sciences International 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Georgian Mathematical Journal 1 Multibody System Dynamics 1 Abstract and Applied Analysis 1 Journal of Applied Mechanics and Technical Physics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 International Journal of Numerical Modelling 1 Journal of Dynamical and Control Systems 1 The ANZIAM Journal 1 Sādhanā 1 Central European Journal of Mathematics 1 International Journal of Computational Methods 1 GAMM-Mitteilungen 1 International Journal of Control, I. Series 1 Acta Mechanica Sinica 1 European Journal of Pure and Applied Mathematics 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Eurasian Mathematical Journal 1 Analysis and Mathematical Physics ...and 1 more Serials
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#### Cited in 31 Fields

 233 Mechanics of deformable solids (74-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 52 Numerical analysis (65-XX) 36 Partial differential equations (35-XX) 29 Ordinary differential equations (34-XX) 23 Fluid mechanics (76-XX) 21 Systems theory; control (93-XX) 16 Mechanics of particles and systems (70-XX) 13 Operations research, mathematical programming (90-XX) 12 Classical thermodynamics, heat transfer (80-XX) 8 Optics, electromagnetic theory (78-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 4 Statistics (62-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mathematical logic and foundations (03-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)