Solvability of nonlinear impulsive Volterra integral inclusions and functional differential inclusions

DOI10.1016/j.jmaa.2004.01.043zbMath1071.45010OpenAlexW1991881392MaRDI QIDQ596727

Shihuang Hong

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.01.043

zbMATH Keywords

fixed pointmultivalued mappartially ordered Banach spaceimpulsive functional differential inclusion

Mathematics Subject Classification ID

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

Related Items

Comparison results for initial value problems of second-order impulsive integro-differential inclusions ⋮ Generalization of ordering principles and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions to boundary value problems for impulsive second order differential inclusions
• Fixed points of discontinuous multivalued increasing operators in Banach spaces with applications.
• Initial value problems for the second order mixed monotone type of impulsive differential equations in Banach spaces
• Nonlinear impulsive Volterra integral equations in Banach spaces and applications
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Boundary value problems for second order impulsive differential equations using set-valued maps
• Weak Compactness in L 1 (μ, X)