Existence of solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions

DOI10.1155/2012/913809zbMath1253.45009OpenAlexW2097030361WikidataQ58697080 ScholiaQ58697080MaRDI QIDQ1925458

Sheng-Li Xie

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/913809

zbMATH Keywords

controllabilityexistenceMönch fixed point theoremnonlinear mixed type integrodifferential functional evolution equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10)

Related Items (1)

Existence of mild solutions for a class of non-autonomous evolution equations with nonlocal initial conditions

Cites Work

• A class of nonlocal impulsive problems for integrodifferential equations in Banach spaces
• Existence of mild solutions for abstract semilinear evolution equations in Banach spaces
• Controllability of mixed Volterra-Fredholm-type integro-differential systems in Banach space
• Existence of mild solutions for semilinear evolution equations with non-local initial conditions
• Global existence for semilinear evolution equations with nonlocal conditions
• Non-autonomous integrodifferential equations with non-local conditions
• Nonlocal Cauchy problem for analytic resolvent integrodifferential equations in Banach spaces
• Existence Results for Semilinear Differential Evolution Equations with Impulses and Delay
• On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Semilinear integrodifferential equations with nonlocal cauchy problem
• Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions
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