EXISTENCE AND UNIQUENESS FOR A CLASS OF SEMILINEAR INITIAL VALUE CONTROL PROBLEMS IN SUITABLE BANACH SPACES

Authors

  • Manaf A Salah Al-Nahrain University, College of Science, Department of Mathematics & Computer Applications.
  • Ahmed A Yousif Al-Nahrain University, College of Science, Department of Mathematics & Computer Applications.
  • Ranen Z Ahmood Al-Nahrain University, College of Science, Department of Mathematics & Computer Applications.

Keywords:

S-classical solution (semi-classical solution), control problem in infinite dimensional spaces, fixed point theorem and analytic semigroup theory

Abstract

The local existence and uniqueness of S-classical solution (semi-classical solution) for a class of semilinear initial value control problems in suitable Banach spaces have been discussed and proved. The theoretical results are depending on the theory of analytic semigroup and Banach contraction principle.

 

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Published

2018-08-15

Issue

Vol. 11 No. 2 (2008): August

Section

Articles

How to Cite

[1]
“EXISTENCE AND UNIQUENESS FOR A CLASS OF SEMILINEAR INITIAL VALUE CONTROL PROBLEMS IN SUITABLE BANACH SPACES”, ANJS, vol. 11, no. 2, pp. 136–144, Aug. 2018, Accessed: Apr. 20, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/1372