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- Uri Elias
- The American Mathematical Monthly
- 2008

(an Abel equation in canonical form, see [1, p. 24]) is a useful instrument to display rich qualitative properties such as extendability and finite escape time, stability and instability, boundedness, and periodicity. We show the following: (a) The equation has a unique solution that is defined on (−∞,∞). This solution is periodic. (b) As t increases, each… (More)

- Uri Elias, Allan Pinkus
- 2002

originates in the works of Mirzov [17] and Elbert [5], who named these equations `half linear’. This theory extends various aspects of oscillation theory, such as the Picone identity [10], Sturm comparison theorem [16, 17], oscillation and nonoscillation criteria of Kneser type [16] and Hille type [14], and other oscillation criteria [3]. One branch of this… (More)

- Uri Elias
- The American Mathematical Monthly
- 2003

One of the surprising results in an elementary calculus course is that a rearrangement of a conditionaly convergent series may change its sum, even its very convergence. Observing typical textbook examples of this phenomenon, it turns out that during the rearrangement some of the terms are moved arbitrarily large distances from their original locations. Is… (More)

- Uri Elias, Harry Gingold
- 1999

This work considers the matrix differential equation Y Y s A t Y , 1.1 Ž . Ž . Ž . where A t is a hermitian, n = n matrix function, invertible and analytic Ž . on a, ` . For the analogous scalar equation, y s a t y , 1.2 Ž . Ž . Ž . there exists under suitable assumptions the Liouville]Green L-G, WKB y1r4 Ž 1r2 . approximation y f a exp "Ha . Improvements… (More)

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