Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
- 22 June 2000
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 13 (5) , 1501-1514
- https://doi.org/10.1088/0951-7715/13/5/305
Abstract
We consider a class of ordinary differential equations of the following type: -ü(t) = α(t)u3(t) + mu(t) + h(t) where α is bounded and changes sign. We study the effect of such a coefficient on the existence of oscillating solutions on bounded and unbounded domains.Keywords
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