Initial Time Difference Quasilinearization Method in Banach Space

Authors

  • Coşkun Yakar Gebze Institute of Technology Department of Mathematics, Gebze-Kocaeli 141-41400

DOI:

https://doi.org/10.26713/cma.v2i2-3.133

Keywords:

Initial time difference, Quasilinearization in Banach space, Superlinear convergence

Abstract

In this paper, the method of the quasilinearization technique in Banach space is applied to obtain upper and lower sequences with initial time difference in terms of the solutions of the linear differential equations that start at different initial times. It is also shown that these sequences converge to the unique solution of the nonlinear equation in Banach space uniformly and superlinearly.

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Published

28-12-2011
CITATION

How to Cite

Yakar, C. (2011). Initial Time Difference Quasilinearization Method in Banach Space. Communications in Mathematics and Applications, 2(2-3), 77–85. https://doi.org/10.26713/cma.v2i2-3.133

Issue

Vol. 2 No. 2-3 (2011)

Section

Research Article

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