Systems determined by nonlinear operator valued measures and controlled by vector measures: existence of optimal controls and necessary conditions of optimality

DOI10.1016/j.na.2009.01.114zbMath1238.49008OpenAlexW2053674628MaRDI QIDQ419885

Nasir Uddin Ahmed

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.114

zbMATH Keywords

optimal controlexistence of solutionsevolution equationsregularity propertiesstrongly nonlinear operator valued measures

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear differential equations in abstract spaces (34G20) Initial value problems for higher-order parabolic equations (35K30) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Cites Work

• Parabolic systems determined by strongly nonlinear operator-valued measures
• Abrupt population changes along smooth environmental gradients
• Optimal control of systems determined by strongly nonlinear operator valued measures