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KCI등재
학술저널
APPROXIMATE CONTROLLABILITY FOR SEMILINEAR INTEGRO-DIFFERENTIAL CONTROL EQUATIONS WITH QUASI-HOMOGENEOUS PROPERTIES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 34, No. 3
- : KCI등재
- 2021.08
- 189 - 207 (19 pages)
In this paper, we consider the approximate controllability for a class of semilinear integro-differential functional control equations in which nonlinear terms of given equations satisfy quasi-homogeneous properties. The main method used is to make use of the surjective theorems that is similar to Fredholm alternative in the nonlinear case under restrictive assumptions. The sufficient conditions for the approximate controllability is obtain which is different from previous results on the system operator, controller and nonlinear terms. Finally, a simple example to which our main result can be applied is given.
1. Introduction
2. Semilinear functional equations
3. Approximate controllability
4. Conclusion
References