THE SEMI-CLASSICAL SOLUTION FOR A CLASS OF SEMILINEAR INITIAL VALUE CONTROL PROBLEMS IN BANACH SPACE

Authors

  • Manaf Adnan Salah Department of Mathematics and Computer Applications , College of Science , Al-Nahrain , Baghd ad-Iraq

Keywords:

S-classical solution, control problem in infinite dimensional spaces, fixed point theorem, analytic semigroup theor y

Abstract

In this paper, the local existence and uniqueness of S-classical solution of a class of semilinearinitial value control problems which defined as:0d z t g t z t Az t f t z t B t t 0dtz 0 zw w w ww  ,    ,  w , have been discussed and proved in suitable Banach spaces. All results are obtained by using Banachcontraction principle and depending on the theory of analytic semigroup of control problems


Keywords:
S-classical solution,control problem in infinite dimensional spaces,fixed point theorem and y

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Published

2010-09-01

Issue

Vol. 13 No. 3 (2010): September

Section

Articles

How to Cite

(1)
THE SEMI-CLASSICAL SOLUTION FOR A CLASS OF SEMILINEAR INITIAL VALUE CONTROL PROBLEMS IN BANACH SPACE. ANJS 2010, 13 (3), 161-169.