A generalization of the weak convergence theorem in Sobolev spaces with application to differential inclusions in a Banach space

DOI10.3792/PJAA.77.5zbMath0980.34057OpenAlexW2094731032MaRDI QIDQ5938536

Toru Maruyama

Publication date: 22 July 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.77.5

zbMATH Keywords

weak convergenceexistencevariational problemdifferential inclusionreal separable reflexive Banach space

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Applications of functional analysis to differential and integral equations (46N20)

Related Items (3)

On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces ⋮ Recursive variational problems in nonreflexive Banach spaces with an infinite horizon: an existence result ⋮ Disintegration of Young Measures and Nonlinear Analysis

Cites Work

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• Lipschitz approximation of the sweeping (or Moreau) process
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• A weak convergence theorem in Sobolev spaces with application to Filippov's evolution equations
• Convex analysis and measurable multifunctions
• Nonconvex-valued differential inclusions in a separable Hilbert space
• Nonlinear semigroups in Hilbert space
• On Lower Semicontinuity of Integral Functionals. I

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