COMPACTNESS OF SOLUTION SEMIFLOWS WITH FINITE DELAY

  • Trinh Xuan Yen Hung Yen University of Technology and Education
  • Nguyen Thi Hanh Hung Yen University of Technology and Education
Keywords: Banach space, strongly continuous operators semigruops, compact mapping

Abstract

In this paper, we prove the compactness of solutions of semilinear differential equations of the form
Anh_Abstract_Chi_Yen.JPG
under the conditions that the operator T A generates the strongly continuous operators semigruops (T(t)) t≥0 and the nonlinear term satisfying the Lipschitz condition. The main results are based on the method using
norm evaluations and the compactness of the operator in the corresponding Banach space.

References

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Published
2022-03-31
How to Cite
Trinh Xuan Yen, & Nguyen Thi Hanh. (2022). COMPACTNESS OF SOLUTION SEMIFLOWS WITH FINITE DELAY. UTEHY Journal of Science and Technology, 33(1), 114-118. Retrieved from https://tapchi.utehy.edu.vn/index.php/jst/article/view/532