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.
Terracini, S., Verzini, G. (2000). Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities. NONLINEARITY, 13(5), 1501-1514 [10.1088/0951-7715/13/5/305].
Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
TERRACINI, SUSANNA;
2000
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.
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