Radoslaw Pietkun
Abstract:
This article shows the existence of solutions to some nonlocal initial-value
problems for differential inclusions. The guiding potential method
is used and the topological degree theory for admissible multivalued
vector fields is applied. Some conclusions concerning compactness of
the solution set are drawn.
Submitted August 24, 2014. Published February 10, 2015.
Math Subject Classifications: 34A60, 34B10, 47H11.
Key Words: Guiding potential; differential inclusion; topological degree;
Fredholm operator; nonlocal initial condition.
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Radoslaw Pietkun Kwitnacej Jabloni 15 87-100 Torun, Poland email: pietkunr@gmail.com |
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