MINIMAL AND MAXIMAL SOLUTIONS FOR INTEGRAL BOUNDARY VALUE PROBLEMS FOR THE SECOND ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS

TitleMINIMAL AND MAXIMAL SOLUTIONS FOR INTEGRAL BOUNDARY VALUE PROBLEMS FOR THE SECOND ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS
Publication TypeJournal Article
Year of Publication2010
AuthorsSZATANIK WAWRZYNIEC
JournalDynamic Systems and Applications
Volume19
Start Page87
Pagination10
Date Published2010
ISSN1056-2176
AMS Subject Classification34A45, 34B10
Abstract

This paper deals with boundary value problems for the second order differential equations with deviating arguments and integral boundary conditions. Sufficient conditions are formulated under which such a problem has at least one solution. A monotone iterative method is used. Example with numerical result is included to illustrate scheme used in the main theorem
PDFhttps://acadsol.eu/dsa/articles/19/07-DSA-133.pdf
Refereed DesignationRefereed