Formal adjoint operators and asymptotic formula for solutions of autonomous linear integral equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Matsunaga, Hideaki¹  Murakami, Satoru²  Nagabuchi, Yutaka³ 

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan

[3] Okayama Univ Sci, Dept Appl Sci, Okayama 7000005, Japan

关键词: Integral equations;    Phase space;    Generator of solution semigroup;    Formal adjoint operator;   

DOI  :  10.1016/j.jmaa.2013.08.035

来源: Elsevier

【 摘 要 】

For autonomous linear. integral equations, we establish an explicit asymptotic representation formula of solutions, developing the spectral analysis for the generator of the solution semigroup as well as the one for the formal adjoint operator associated with the generator. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free