Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces

DOI10.1016/j.jmaa.2006.07.103zbMath1118.45010OpenAlexW2020239470MaRDI QIDQ879052

Hua Su, Xiaoyan Zhang, Yong-Hong Wu, Li Shan Liu

Publication date: 4 May 2007

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.2006.07.103

zbMATH Keywords

global solutionsMönch fixed point theoremordered Banach spacemeasure of non-compactnesssecond order integro-differential equations of mixed type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (3)

Two-point boundary value problem for Volterra-Fredholm integro-differential equations and its numerical analysis ⋮ Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces ⋮ Construction of measures of noncompactness of \(DC^{n}[J,E\) and \(C^{n}_{0}[J,E]\) with application to the solvability of \(n\)th-order integro-differential equations in Banach spaces]

Cites Work

• On monotone iterative method for initial value problems of nonlinear second-order integro-differential equations in Banach spaces
• Iterative method for solutions and coupled quasi-solutions of nonlinear integro-differential equations of mixed type in Banach spaces
• Global solutions of initial value problems for nonlinear integral-differential equations of mixed type in Banach spaces.
• On the method of upper and lower solutions in abstract cones
• Initial value problems for second-order integro-differential equations in Banach spaces
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