Published January 1, 2023
| Version v1
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Further Result on the Quasilinearization Method For an Initial Value Problem on Time Scales
Creators
- 1. Sakarya Univ, Fac Sci, Dept Math, Sakarya, Turkiye
- 2. 2 Gebze Tech Univ, Fac Sci, Dept Math, Kocaeli, Turkiye
Description
We have investigated the generalized quasilinearization method under some convenient conditions for nonlinear initial value problem (IVP) of dynamic equation on time scale and constructed by monotone sequences of function by using comparison theorem. The solutions of linear IVPs of dynamic equation on time scale converge uniformly and monotonically to the unique solution of the original problem and the convergence is quadratic.
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