Functional differential equations with nonlocal initial conditions

DOI10.1155/S104895339700018XzbMath0883.34065OpenAlexW2130301101MaRDI QIDQ1366405

Yun Gao, Sergiu Aizicovici

Publication date: 10 September 1997

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47827

zbMATH Keywords

regularityexistenceuniquenessasymptotic propertiesnonlocal Cauchy problem\(m\)-accretive multivalued operatordependence upon data

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability theory of functional-differential equations (34K20) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (12)

Approximate controllability of fractional stochastic evolution equations with nonlocal conditions ⋮ Existence of solutions in some interpolation spaces for a class of semilinear evolution equations with nonlocal initial conditions ⋮ Existence and asymptotic properties of solutions of nonlinear multivalued differential inclusions with nonlocal conditions ⋮ Approximate controllability for a class of abstract second-order functional evolution equations ⋮ Existence results and asymptotic behavior for nonlocal abstract Cauchy problems ⋮ Nonlinear nonlocal Cauchy problems in Banach spaces ⋮ Integral inequalities and mild solutions of semilinear neutral evolution equations ⋮ INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS ⋮ Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces ⋮ Existence of mild solutions for semilinear evolution equations with non-local initial conditions ⋮ Finite-approximate controllability of fractional stochastic evolution equations with nonlocal conditions ⋮ Nonlinear differential equations with nonlocal conditions in Banach spaces

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