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Zbl 0958.34021
Agarwal, R.P.; O'Regan, D.
Triple solutions to boundary value problems on time scales.
(English)
[J] Appl. Math. Lett. 13, No.4, 7-11 (2000). ISSN 0893-9659

Using the Leggett-Williams fixed-point theorem, three nonnegative solutions are proved to nonlinear differential equations on time scales. The obtained result is new for differential equations as well as discrete particular cases.
[Jan Andres (Olomouc)]
MSC 2000:
*34B18 Positive solutions of nonlinear boundary value problems
34B15 Nonlinear boundary value problems of ODE
34A99 General theory of ODE

Keywords: Leggett-Williams fixed-point theorem; nonnegative solutions

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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