Existence results for a class of semilinear nonlocal evolution equations

DOI10.1002/mma.2537zbMath1254.34079OpenAlexW2052422876MaRDI QIDQ2910837

Qing Liu

Publication date: 11 September 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2537

zbMATH Keywords

semilinear evolution equationnonlocal initial conditioncompact semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20)

Related Items (2)

Controllability of retarded semilinear systems with control delay ⋮ Exact controllability for Hilfer fractional differential inclusions involving nonlocal initial conditions

Cites Work

• Unnamed Item
• A note on the fractional Cauchy problems with nonlocal initial conditions
• Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces
• On a class of retarded integro-differential equations with nonlocal initial conditions
• Remarks on the existence results for second-order differential inclusions with nonlocal conditions
• Controllability of impulsive differential systems with nonlocal conditions
• Nonlocal differential equations with multivalued perturbations in Banach spaces
• Existence of mild solutions for semilinear evolution equations with non-local initial conditions
• Existence and regularity of solutions to nonlocal retarded differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Global existence for semilinear evolution equations with nonlocal conditions
• Nonlocal Cauchy problems for semilinear evolution equations
• Semilinear integrodifferential equations with nonlocal initial conditions
• Nonlocal Cauchy problems governed by compact operator families
• Existence results for a class of abstract nonlocal Cauchy problems
• Multivalued evolution equations with nonlocal initial conditions in Banach spaces
• On a nonlocal problem for semilinear differential equations with upper semicontinuous nonlinearities in general Banach spaces
• Nonlinear nonlocal Cauchy problems in Banach spaces
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• SEMILINEAR NONLOCAL PROBLEMS WITHOUT THE ASSUMPTIONS OF COMPACTNESS IN BANACH SPACES
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Analytical and Numerical Solutions for a Class of Nonlocal Nonlinear Parabolic Differential Equations
• Determination of an unknown function in a parabolic equation with an overspecified condition

This page was built for publication: Existence results for a class of semilinear nonlocal evolution equations