On total preservation of solvability of controlled Hammerstein-type equation with non-isotone and non-majorizable operator

DOI10.3103/S1066369X1706010XzbMath1381.93035OpenAlexW2616806420MaRDI QIDQ682318

Juan-Miguel Gracia

Publication date: 14 February 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x1706010x

zbMATH Keywords

fixed-pointHammerstein type equationsemilinear elliptic equation of diffusion-reaction type

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)

Related Items (6)

On totally global solvability of evolutionary equation with unbounded operator ⋮ Operator equations of the second kind: theorems on the existence and uniqueness of the solution and on the preservation of solvability ⋮ On totally global solvability of evolutionary equation with monotone nonlinear operator ⋮ Majorant sign of the first order for totally global solvability of a controlled functional operator equation ⋮ On totally global solvability of controlled second kind operator equation ⋮ The total preservation of unique global solvability of the first kind operator equation with additional controlled nonlinearity

Cites Work

• A majorant criterion for the total preservation of global solvability of controlled functional operator equation
• Sufficient conditions for the controllability of nonlinear distributed systems
• On applicability of control parametrization technique to solving distributed optimization problems
• On Volterra type generalization of monotonization method for nonlinear functional operator equations
• Smooth finite-dimensional approximations of distributed optimization problems via control discretization
• Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
• The features of gradient methods for distributed optimal-control problems
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