THE EXTENSION OF PICARD SUCCESSIVE APPROXIMATION FOR CONSTRUCTING 2-SIDE BOUNDS FOR THE SOLUTIONS OF DIFFERENTIAL-EQUATIONS

OZIS, T2024-08-042024-08-0419920377-04271879-1778https://doi.org/10.1016/0377-0427(92)90217-Lhttps://hdl.handle.net/11616/94554In this study, classical two-side bounds to approximate the solution of differential equations in integral form are considered in order to obtain the solution as a fixed point of monotone decreasing operators. The existence and uniqueness of the solution is proved when the operators considered are monotone decreasing and the bounds are given for the solution.eninfo:eu-repo/semantics/openAccessDIFFERENTIAL EQUATIONSSUCCESSIVE APPROXIMATIONS2-SIDE BOUNDSMONOTONE DECREASING OPERATORSTHE EXTENSION OF PICARD SUCCESSIVE APPROXIMATION FOR CONSTRUCTING 2-SIDE BOUNDS FOR THE SOLUTIONS OF DIFFERENTIAL-EQUATIONSArticle39171410.1016/0377-0427(92)90217-L2-s2.0-44049121862Q2WOS:A1992HJ34600002N/A