| Autor: |
Bouchelaghem, Fairouz, Benharrat, Mohammed |
| Zdroj: |
Mediterranean Journal of Mathematics; Feb2022, Vol. 19 Issue 1, p1-17, 17p |
| Abstrakt: |
A canonical factorization is given for a quadratic pencil of accretive operators in a Hilbert space. We establish a criterion in order that the linear factors, into which the pencil splits, generates a holomorphic semi-group of contraction operators. As an application, we study a result of existence, uniqueness, and maximal regularity of the strict solution for complete abstract second-order differential equation in the non-homogeneous case. An illustrative example is also given. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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