Electron. J. Diff. Equ., Vol. 2015 (2015), No. 35, pp. 1-17.

Guiding potential method for differential inclusions with nonlocal conditions

Radoslaw Pietkun

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.

Show me the PDF file (314 KB), TEX file, and other files for this article.

Radoslaw Pietkun
Kwitnacej Jabloni 15
87-100 Torun, Poland
email: pietkunr@gmail.com

Return to the EJDE web page