Oscillating solutions to second-order ODEs with indefinite superlinear nonlinearities
Susanna Terracini; Gianmaria Verzini; Susanna Terracini; Politecnico di Milano, Via Bonardi 9, Milano, Italy; Gianmaria Verzini; Politecnico di Milano, Via Bonardi 9, Milano, Italy
Журнал:
Nonlinearity
Дата:
2000-09-01
Аннотация:
We consider a class of ordinary differential equations of the following type: -ü(t) = α(t)u<sup>3</sup>(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.
139.5Кб