Nonlocal differential equations with multivalued perturbations in Banach spaces

DOI10.1016/J.NA.2007.08.057zbMath1163.34041OpenAlexW1974864858MaRDI QIDQ949709

Lanping Zhu, Gang Li

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.057

zbMATH Keywords

mild solutionscompact semigroupnonlocal differential inclusionsupper-Carathéodory multifunctions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Evolution inclusions (34G25)

Related Items (9)

Existence results for a class of semilinear nonlocal evolution equations ⋮ Mild solutions of semilinear evolution equation on an unbounded interval and their applications ⋮ Existence and asymptotic properties of solutions of nonlinear multivalued differential inclusions with nonlocal conditions ⋮ Existence of mild solutions for fractional evolution equations ⋮ Existence results for impulsive differential inclusions with nonlocal conditions ⋮ Mild solutions to fractional differential inclusions with nonlocal conditions ⋮ SEMILINEAR NONLOCAL PROBLEMS WITHOUT THE ASSUMPTIONS OF COMPACTNESS IN BANACH SPACES ⋮ Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces ⋮ Existence of mild solutions for semilinear evolution equations with non-local initial conditions

Cites Work

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• Nonlinear differential equations with nonlocal conditions in Banach spaces
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions
• Semilinear integrodifferential equations with nonlocal cauchy problem

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