Selfadjoint nonoscillatory second order linear $B^ \ast$-algebra differential equations
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- by Manuel Lopez PDF
- Proc. Amer. Math. Soc. 97 (1986), 71-74 Request permission
Abstract:
The main result in this paper states that the second order linear ${B^*}$-algebra differential equation $(p(t)y’) + q(t)y = 0$, where $p(t)$ is positive and $q(t)$ is Hermitian for each $t$, is nonoscillatory on $[{t_0},\infty )$ if the scalar equation $({\left \| {{p^{ - 1}}(t)} \right \|^{ - 1}}W’)’ + \left \| {q(t)} \right \|W = 0$ is nonoscillatory on $[{t_0},\infty )$. Consequently, every criterion on nonoscillation in the scalar case automatically produces another one in the ${B^*}$-algebra case.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 71-74
- MSC: Primary 34G10; Secondary 34C10, 46K99
- DOI: https://doi.org/10.1090/S0002-9939-1986-0831390-6
- MathSciNet review: 831390