Existence results for nonlinear nonlocal problems in Banach spaces

DOI10.1016/J.AML.2009.01.007zbMath1179.34004OpenAlexW2057756092MaRDI QIDQ845618

Weijun Zhong, Zhenbin Fan, Cuihua Xie

Publication date: 29 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.007

zbMATH Keywords

accretive operatorfixed pointintegral solutionnonlinear semigroupnonlocal conditions

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (11)

Mild solution and approximate controllability of second-order retarded systems with control delays and nonlocal conditions ⋮ Schauder-Tychonoff fixed-point theorem in theory of superconductivity ⋮ Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Finite-approximate controllability of impulsive \(\psi\)-Caputo fractional evolution equations with nonlocal conditions ⋮ Existence and partial approximate controllability of nonlinear Riemann-Liouville fractional systems of higher order ⋮ Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms ⋮ Existence of mild solutions for semilinear nonlocal Cauchy problems in separable Banach spaces ⋮ On the existence and asymptotic behaviour of solutions of an evolution equation and an application to the Feynman-Kac theorem ⋮ INTEGRAL SOLUTIONS TO A CLASS OF NONLOCAL EVOLUTION EQUATIONS ⋮ Partial approximate controllability of fractional systems with Riemann-Liouville derivatives and nonlocal conditions ⋮ Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives

Cites Work

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• 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
• Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions

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