Some existence theorems for differential inclusions in Hilbert spaces

DOI10.1017/S0004972700017780zbMath0870.34064OpenAlexW2008069400MaRDI QIDQ5284214

Byung-Soo Lee, Yu-Qing Chen, Shi Sheng Zhang

Publication date: 23 February 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700017780

zbMATH Keywords

differential inclusions\((S)_ +\) mappingdifferential equations of first order in a Hilbert space \(H\)

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear differential equations in abstract spaces (34G20) Set-valued operators (47H04)

Related Items (4)

Existence of periodic solutions for first-order evolution equations without coercivity. ⋮ On the existence of periodic solutions for nonlinear evolutions in Hilbert spaces ⋮ Solvability of unilateral parabolic problems and variational inequalities ⋮ On existence of periodic solutions for gradient systems with applications

Cites Work

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• Non-convex perturbations of maximal monotone differential inclusions
• Lower semicontinuous perturbations of maximal monotone differential inclusions
• Multivalued perturbations of subdifferential type evolution equations in Hilbert spaces
• Continuation theorems and the approximation-solvability of equations involving multivalued A-proper mappings
• Nonlinear semigroups and evolution equations
• Antipodes theorem for A-proper mappings and its applications to mappings of the modified type (S) or (S)+ and to mapping with the pm property
• On multivalued evolution equations in Hilbert spaces
• On evolution equations having monotonicities of opposite sign
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE

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