Tretter, Christiane (2000) A linearization for a class of lambda-nonlinear boundary eigenvalue problems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 247 (2). pp. 331-355. ISSN 0022-247X
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In this paper a new linearization of boundary eigenvalue problems for systems (y) over tilde' + (A) over tilde(0)(y) over tilde = lambda (A) over tilde(1)(y) over tilde of n first order differential equations with lambda-polynomial boundary conditions is proposed. The linearized problem is again a boundary eigenvalue problem for a system y' + A(0)y = lambda A(1)y of first order differential equations of dimension n + (n) over cap where (n) over cap is the total polynomial degree of the boundary conditions. As a particular case, we consider systems of first order differential equations induced by nth order differential equations N eta = lambda P eta, and we give an application to the Orr-Sommerfeld equation with lambda-quadratic boundary conditions. (C) 2000 Academic Press.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; linearization; boundary eigenvalue problems |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Mar 2022 12:54 |
| Last Modified: | 30 Mar 2022 12:54 |
| URI: | https://pred.uni-regensburg.de/id/eprint/42322 |
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