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Formal adjoint operators and asymptotic formula for solutions of autonomous linear integral equations |
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| Authors: | Hideaki Matsunaga Satoru Murakami Yutaka Nagabuchi |
| Institution: | 1. Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan;2. Department of Applied Mathematics, Okayama University of Science, Okayama 700-0005, Japan;3. Department of Applied Science, Okayama University of Science, Okayama 700-0005, Japan |
| Abstract: | 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. |
| Keywords: | Integral equations Phase space Generator of solution semigroup Formal adjoint operator |
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