Necessary conditions for optimality of Cauchy problems for parabolic partial delay-differential equations

DOI10.1007/BF00933360zbMath0431.49024OpenAlexW1979777865MaRDI QIDQ1138223

S. M. Nababan, Kok Lay Teo

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00933360

zbMATH Keywords

Cauchy conditionsparabolic type equationsintegral maximum principlepointwise maximum principledivergence formspartial delay-differential equations

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Optimality conditions (49K99)

Related Items

Optimal control computation for parabolic systems with boundary conditions involving time delays ⋮ Optimal control of linear retarded systems in Banach spaces ⋮ Optimal control of a class of time-delayed distributed systems by orthogonal functions

Cites Work

• Unnamed Item
• Unnamed Item
• On the system governed by parabolic partial delay-differential equations with first boundary conditions
• Necessary conditions for optimal controls for systems governed by parabolic partial delay-differential equations in divergence form with first boundary conditions
• Optimal control of systems governed by time-delayed, second-order, linear, parabolic partial differential equations with a first boundary condition
• Existence and uniqueness of weak solutions of the Cauchy problem for parabolic delay-differential equations
• Necessary Conditions for Optimality of Cauchy Problems for Parabolic Partial Differential Systems
• Necessary Conditions for Optimal Controls of Elliptic or Parabolic Problems
• An Existence Theorem on Optimal Control of Partially Observable Diffusions
• Optimal Control of Partially Observable Diffusions

This page was built for publication: Necessary conditions for optimality of Cauchy problems for parabolic partial delay-differential equations