Extreme solutions of initial value problems for nonlinear second order integrodifferential equations in Banach spaces

DOI10.1007/BF02677371zbMath0993.45013MaRDI QIDQ5949519

Fangqi Chen

Publication date: 18 September 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

existencelower and upper solutionsinitial value problemsBanach spaceextreme solutionsmaximal and minimal solutionnonlinear second-order integrodifferential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

• Extremal solutions of nonlinear impulsive integrodifferential equations in Banach spaces
• Initial value problems for integro-differential equations of Volterra type in Banach spaces
• Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Periodic boundary value problems for integro-differential equations of volterra type
• Existence and comparison results for nonlinear volterra integral equations in a banach space
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