On changing the spaces in Lagrange multiplier rules for the optimal control of non-linear operator equations

DOI10.1080/02331938508843087zbMath0589.49018OpenAlexW2048397859MaRDI QIDQ3717702

Fredi Tröltzsch

Publication date: 1985

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938508843087

zbMATH Keywords

optimal controlembeddingnonlinear integral equationsLagrange multiplier rules

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Other nonlinear integral equations (45G10) Nonlinear systems in control theory (93C10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions (49K99)

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Cites Work

• A note on the existence of Lagrange multipliers
• Regularity and stability for the mathematical programming problem in Banach spaces
• On regularity conditions in mathematical programming
• Optimale Steuerprobleme bei NOETHERschen Operatorgleichungen III

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