Existence theorems for optimization problems concerning linear, hyperbolic partial differential equations without convexity conditions-Reference-Cited by-同舟云学术

Existence theorems for optimization problems concerning linear, hyperbolic partial differential equations without convexity conditions

Published:1976-05 Issue:1 Volume:19 Page:47-61
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Suryanarayana M. B.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1007/BF00934051.pdf

Reference18 articles.

1. Neustadt, L.,The Existence of Optimal Control in the Absence of Convexity, Journal of Mathematical Analysis and Applications, Vol. 7, pp. 110?117, 1963.

2. Germany, R. H. J.,Sur les Fonctions de Riemann Associées aux Systèmes d'Equations aux Derivées Partielles et d'Equations Integro-Differentielles du Second Ordre a Deux Variables Independantes, Memoires de la Societé Royale des Sciences de Liège, Ser. 3, Vol. 14, Fasc. 4, pp. 1?66, 1928.

3. Cesari, L.,Optimization with Partial Differential Equations in Dieudonné-Rashevsky Form and Conjugate Problem, Archive for Rational Mechanics and Analysis, Vol. 33, pp. 339?357, 1969.

4. Suryanarayana, M. B.,Necessary Conditions for Optimization Problems with Hyperbolic Partial Differential Equations, SIAM Journal on Control, Vol. 11, No. 1, 1973.

5. Suryanarayana, M. B.,Existence Theorems for Optimization Problems Concerning Hyperbolic Partial Differential Equations, Journal of Optimization Theory and Applications, Vol. 15, No. 4, 1975.

Cited by 29 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of the optimal controls for a controlled elliptic system with an $ L^0 $ term in the cost functional;Mathematical Control and Related Fields;2023

2. Lyapunov’s Theorem via Baire Category;Trends in Control Theory and Partial Differential Equations;2019

3. Nonexistence and Existence of an Optimal Control Problem Governed by a Class of Semilinear Elliptic Equations;Journal of Optimization Theory and Applications;2012-12-13

4. Analysis of the Optimal Relaxed Control to an Optimal Control Problem;Applied Mathematics and Optimization;2008-05-01

5. Existence and Nonexistence Results of an Optimal Control Problem by Using Relaxed Control;SIAM Journal on Control and Optimization;2007-01