Existence of solutions for a class of abstract differential equations with nonlocal conditions

DOI10.1016/j.na.2010.12.018zbMath1221.47079OpenAlexW1968493637MaRDI QIDQ631742

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

Publication date: 14 March 2011

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.2010.12.018

zbMATH Keywords

abstract Cauchy problemanalytic semigroupsnonlocal conditions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (10)

Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations ⋮ Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions ⋮ Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms ⋮ Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition ⋮ On abstract differential equations with nonlocal conditions involving the temporal derivative of the solution ⋮ Nonlocal problems for fractional differential equations via resolvent operators ⋮ On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces ⋮ On a new class of abstract integral equations and applications ⋮ Nonlocal controllability of semilinear dynamic systems with fractional derivative in Banach spaces

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