Further Result on the Quasilinearization Method For an Initial Value Problem on Time Scales

被引：0

作者：

Cetin, Sahap ^{[1
]}

Yilmaz, Yalcin ^{[1
]}

Yakar, Coskun ^{[2
]}

机构：

[1] Sakarya Univ, Fac Sci, Dept Math, Sakarya, Turkiye

[2] 2 Gebze Tech Univ, Fac Sci, Dept Math, Kocaeli, Turkiye

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2023年 / 18卷 / 02期

关键词：

Quasilinearization; Quadratic convergence; Comparison theorem; Time scale; Lower and upper solutions; BOUNDARY-VALUE-PROBLEMS; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：13

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