Lipschitz operators and the solvability of nonlinear operator equations

DOI10.1007/s10114-004-0331-5zbMath1082.47056OpenAlexW2057434127MaRDI QIDQ1882495

Zong Ben Xu, Huai-Xin Cao

Publication date: 1 October 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0331-5

zbMATH Keywords

controllabilitysolvabilitynonlinear operator equationLipschitz operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear systems in control theory (93C10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Perturbations of nonlinear operators (47H14)

Related Items

On controllability of nonlocal retarded semilinear distributed control systems, Characterizations and extensions of Lipschitz-\(\alpha\) operators

Cites Work

• Solvability of semilinear operator equations with growing nonlinearity
• Approximate solvability of semilinear operator equations
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Controllability of nonlinear systems
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