Published January 1, 2024
| Version v1
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New Results on the Quasilinearization Method for Time Scales
Creators
- 1. Sakarya Univ, Fac Sci, Dept Math, TR-54050 Sakarya, Turkiye
- 2. Gebze Tech Univ, Dept Math, Fac Sci, TR-41400 Kocaeli, Turkiye
Description
We have developed the generalized quasilinearization method (QM) for an initial value problem (IVP) of dynamic equations on time scales by using comparison theorems with a coupled lower solution (LS) and upper solution (US) of the natural type. Under some conditions, we observed that the solutions converged to the unique solution of the problem uniformly and monotonically, and the rate of convergence was investigated.
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