On abstract differential equations with nonlocal conditions involving the temporal derivative of the solution

DOI10.1016/j.indag.2012.02.006zbMath1272.34079OpenAlexW2075360860MaRDI QIDQ441364

Jair Silvério Dos Santos, Katia A. G. Azevedo, Eduardo M. Hernández

Publication date: 23 August 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2012.02.006

zbMATH Keywords

abstract Cauchy problemanalytic semigroupnonlocal conditions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (2)

Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Mild solutions of non-autonomous second order problems with nonlocal initial conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of solutions for a class of abstract differential equations with nonlocal conditions
• Existence for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators
• On solution of a nonlinear functional integrodifferential equations with nonlocal conditions in Banach spaces
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• Existence and regularity in the \(\alpha\)-norm for some neutral partial differential equations with nonlocal conditions
• A class of nonlinear evolution equations subjected to nonlocal initial conditions
• Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions
• Existence for a class of partial differential equations with nonlocal conditions
• Existence of solutions for a class of neutral partial differential equations with nonlocal conditions in the \(\alpha \)-norm
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Global existence for semilinear evolution equations with nonlocal conditions
• The one-dimensional heat equation with a nonlocal initial condition
• On a mild solution of a semilinear functional-differential evolution nonlocal problem
• Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem
• A remark on the mild solutions of non-local evolution equations
• Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems
• 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
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Analytic semigroups and optimal regularity in parabolic problems

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