MMN-1258
Monotone iterative technique by upper and lower solutions with initial time difference
Coşkun Yakar; Ismet Arslan; Muhammed Çiçek;Abstract
In this work, the monotone iterative technique with initial
time difference by choosing upper and lower solutions that start at different initial times for the initial value problem (IVP) have been investigated and expanded that implies monotone sequence through the solutions of linear
IVPs for which these monotone sequences of function converge uniformly and monotonically to the extremal solutions of the IVP. This theoreticalapproximation constructive method offers a way of proving existence of
maximal and minimal solutions in addition to obtaining solutions in closed sectors.
Vol. 16 (2015), No. 1, pp. 575-586
DOI: 10.18514/MMN.2015.1258