Regularity and stability analysis for a class of semilinear nonlocal differential equations in Hilbert spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Tran Dinh Ke¹  Nguyen Nhu Thang¹  Lam Tran Phuong Thuy² 

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Elect Power Univ, Dept Math, 235 Hoang Quoc Viet, Hanoi, Vietnam

关键词: Nonlocal differential equation;    Weak solution;    Mild solution;    Regularity;    Asymptotic stability;   

DOI  :  10.1016/j.jmaa.2019.123655

来源: Elsevier

【 摘 要 】

We deal with a class of semilinear nonlocal differential equations in Hilbert spaces which is a general model for some anomalous diffusion equations. By using the theory of integral equations with completely positive kernel together with local estimates, some existence, regularity and stability results are established. An application to nonlocal partial differential equations is shown to demonstrate our abstract results. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free