Nonlocal conditions for differential inclusions in the space of functions of bounded variations

DOI10.1186/1687-1847-2011-17zbMath1268.34108OpenAlexW2143695818WikidataQ59270224 ScholiaQ59270224MaRDI QIDQ1951026

Abdelkader Boucherif, Ravi P. Agarwal

Publication date: 28 May 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-17

zbMATH Keywords

differential inclusionnonlocal initial conditionfixed point of multivalued operatorsgeneralized Helly selection principleset-valued maps of bounded variation

Mathematics Subject Classification ID

Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

Nonlocal problems for differential inclusions in Hilbert spaces ⋮ Cauchy problem for a class of fractional differential equations on time scales

Cites Work

• A selection principle for mappings of bounded variation
• An introduction to ordinary differential equations
• Second-order boundary value problems with integral boundary conditions
• Functional analysis and time optimal control
• Regular Carathéodory-type selectors under no convexity assumptions
• On the theory of set-valued maps of bounded variation of one real variable
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