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

DOI10.1007/BF00934051zbMath0305.49005OpenAlexW2030458946MaRDI QIDQ1217324

M. B. Suryanarayana

Publication date: 1976

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00934051

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• Existence theorems for optimization problems concerning hyperbolic partial differential equations
• Optimization with partial differential equations in Dieudonne-Rashevsky form and conjugate problems
• Existence theorems for an optimal control problem relative to a linear, hyperbolic partial differential equation
• On multidimensional integral equations of Volterra type
• The existence of optimal controls in the absence of convexity conditions
• Convexity of the Range of Certain Integrals
• Linear Control Problems With Total Differential Equations Without Convexity
• On Filippov's Implicit Functions Lemma
• Necessary Conditions for Optimization Problems with Hyperbolic Partial Differential Equations
• An Existence Theorem without Convexity Conditions
• The Range of Certain Vector Integrals
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