Existence of solutions for \(n\)th-order integro-differential equations in Banach spaces

DOI10.1016/S0898-1221(00)00303-5zbMath0987.45004OpenAlexW2066171971MaRDI QIDQ5948736

Dajun Guo

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00303-5

zbMATH Keywords

Schauder fixed-point theoreminitial value problemmeasure of noncompactnessBanach spacenonlinear integro-differential equation of mixed type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10) Abstract integral equations, integral equations in abstract spaces (45N05)

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Cites Work

• Periodic boundary value problem for integrodifferential equations of Hammerstein type
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Periodic boundary value problems for second order integro-differential equations of volterra type
• Periodic boundary value problems for integro-differential equations of volterra type
• Initial value problems for second-order integro-differential equations in Banach spaces
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