TY  - JOUR
T1  - Existence and approximation for nonlinear dynamic equations using monotone iteration method
AU  - Alsharif, Nour
PY  - 2025
DA  - July
Y2  - 2025
JF  - Hitit Journal Of Science
JO  - HJS
PB  - Hitit University
WT  - DergiPark
SN  - 3061-9629
SP  - 31
EP  - 36
VL  - 2
IS  - 2
LA  - en
AB  - This paper improves a generalized monotone iterative technique for solving dynamic initial value problems (IVPs) on time scales,using the method of coupled lower and upper solutions. We construct monotone sequences of iterates, each of which correspondsto a solution of the dynamic IVP on time scales. Under suitable conditions, we establish the uniform and monotonic convergence ofsequences to the extremal (minimal and maximal) solutions of the problem. The results provide a unified framework for analyzing dynamicequations on time scales via monotone iteration.
KW  - Comparison results
KW  - Monotone iterative technique
KW  - Coupled upper and lower solutions
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UR  - https://dergipark.org.tr/en/pub/hjs/issue//1676518
L1  - https://dergipark.org.tr/en/download/article-file/4775182
ER  -