We solve a nonlocal boundary value problem on the half-close interval [1,∞) associated to the differential equation (a(t)|x′|^{α}sgn x′)′+b(t)|x|^{β}sgn x=0, in the the superlinear case α<β. By using a new approach, based on a special energy-type function E, the existence of slowly decaying solutions is examined too.
Positive decaying solutions for differential equations with phi-laplacian / Z. Dosla; M.Marini. - In: BOUNDARY VALUE PROBLEMS. - ISSN 1687-2762. - ELETTRONICO. - 2015:(2015), pp. 0-0. [10.1186/s13661-015-0355-z]
Positive decaying solutions for differential equations with phi-laplacian
MARINI, MAURO
2015
Abstract
We solve a nonlocal boundary value problem on the half-close interval [1,∞) associated to the differential equation (a(t)|x′|^{α}sgn x′)′+b(t)|x|^{β}sgn x=0, in the the superlinear case α<β. By using a new approach, based on a special energy-type function E, the existence of slowly decaying solutions is examined too.
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