α-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem - International Journal of Modern Nonlinear Theory and Application

IJMNTA > Vol.2 No.3, September 2013

International Journal of Modern Nonlinear Theory and Application

Volume 2, Issue 3 (September 2013)

ISSN Print: 2167-9479 ISSN Online: 2167-9487

Google-based Impact Factor: 0.27 Citations

α-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem ()

Download as PDF (Size: 223KB) PP. 164-166

DOI: 10.4236/ijmnta.2013.23022 2,478 Downloads 4,178 Views Citations

Author(s)

Man Liu, Shuling Wang, Qingzhi Yu, Zhengming Wang

Affiliation(s)

Basic Department, Air Force Logistics College, Xuzhou, China.
Department of Aviation Ammunition, Air Force Logistics College, Xuzhou, China.
Department of Training, Air Force Logistics College, Xuzhou, China.

ABSTRACT

The infinite generator of α-times Integrated C semigroups and the properties of resolvent are given. At the same time, we discuss the relationship between the existence of strong solution of a class of nonhomogeneous abstract Cauchy problem and α-times integrated C semigroups, and a sufficient and necessary condition is obtained.

KEYWORDS

α-Times Integrated C Semigroups; Abstract Cauchy Problem; Strong Solution

Share and Cite:

M. Liu, S. Wang, Q. Yu and Z. Wang, "α-Times Integrated C Semigroups and Strong Solution of Abstract Cauchy Problem," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 3, 2013, pp. 164-166. doi: 10.4236/ijmnta.2013.23022.

Cited by

[1]	Проинтегрированные полугруппы, C-полугруппы и их приложения
	2017

[2]	Integrated Semigroups and C-Semigroups and their Applications
	Journal of Mathematical Sciences, 2017

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