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

We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type. AMS Subject Classification 34A60, 34G20, 26A45, 54C65, 28B20

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Bibliographic Details
Published inAdvances in difference equations Vol. 2011; no. 1; pp. 1 - 10
Main Authors Agarwal, Ravi, Boucherif, Abdelkader
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 24.06.2011
Springer Nature B.V
BioMed Central Ltd
SpringerOpen
Subjects
Analysis
Classification
Difference and Functional Equations
Difference equations
Differential inclusion
Fixed point of multivalued operators
Functional Analysis
Generalized Helly selection principle
Inclusions
Initial conditions
Integrals
Mathematics
Mathematics and Statistics
Nonlocal initial condition
Ordinary Differential Equations
Partial Differential Equations
Set-valued maps of bounded variation
Set-valued maps of bounded variation
Generalized Helly selection principle
Fixed point of multivalued operators
Differential inclusion
Nonlocal initial condition
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Summary:We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type. AMS Subject Classification 34A60, 34G20, 26A45, 54C65, 28B20
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ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2011-17