Monotone iterative technique for addressing impulsive integro-differential equations in Banach spaces

DOI10.1016/J.NA.2005.11.013zbMath1109.34005OpenAlexW2069311752MaRDI QIDQ860722

Zhe Liu, Yongxiang Li

Publication date: 9 January 2007

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.2005.11.013

zbMATH Keywords

coneinitial value problemmeasure of noncompactnesslower and upper solutionimpulsive integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Ordinary differential equations with impulses (34A37) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30)

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• Extremal solutions of nonlinear impulsive integrodifferential equations in Banach spaces
• Initial value problems for the second order mixed monotone type of impulsive differential equations in Banach spaces
• A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Fixed points of increasing operators in ordered Banach spaces and applications

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