The Banach method and the monotone mapping method for finding optimal controls in reflexive (B)-spaces

DOI10.1134/S1064562417050210zbMath1382.49020OpenAlexW2767096025MaRDI QIDQ679978

Aleksey Ivanovic Prilepko

Publication date: 22 January 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417050210

zbMATH Keywords

Galerkin methodseparabilityreflexive strictly convex Banach spacessmoothness on (B)-spaces

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (3)

Control and observation problems in Banach spaces. Optimal control and maximum principle. Applications to ordinary differential equations in \(\mathbb{R}^n\) ⋮ Optimal control and maximum principle in (B)-spaces. Examples for PDE in (H)-spaces and ODE in \(\mathbb{R}^n\) ⋮ Controllability and optimal controllability for operator equations of the first kind in (B)-spaces: Examples for ODE in \(\mathbb{R}^n\)

Cites Work

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