Unbounded solutions of semilinear equations at resonance
José Miguel Alonso; Rafael Ortega; José Miguel Alonso; Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain; Rafael Ortega; Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Журнал:
Nonlinearity
Дата:
1996-09-01
Аннотация:
We consider a forced harmonic oscillator at resonance with a nonlinear perturbation and obtain a sharp condition for the existence of unbounded motions. Such a condition is extended to the case of a semilinear vibrating string.
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