Existence, uniqueness and data dependence for the solutions of some integro-differential equations of mixed type in Banach space

DOI10.4171/ZAA/1194zbMath1062.45006OpenAlexW2011094281MaRDI QIDQ1885063

V. Mureşan

Publication date: 28 October 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/169700

zbMATH Keywords

fixed pointsintegro-differential equationsBanach spacedata dependenceweakly Picard operatorsBielecki norms

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 (3)

Analysis of Volterra integrodifferential equations with nonlocal and boundary conditions via Picard operator ⋮ On the approximate solution of integro-differential equations arising in oscillating magnetic fields. ⋮ Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces

Cites Work

• Monotone iterative technique for differential equations in a Banach space
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Existence of approximate solution to abstract nonlocal Cauchy problem
• On the number of solutions of nonlinear equations in ordered Banach spaces
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Solutions of nonlinear integrodifferential equations of mixed type in Banach spaces
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