The asymptotic behavior of nonoscillatory solutions of the half-linear differential equation is studied. In particular, two Wronskian-type functions, which have some interesting properties, similar to the one of the Wronskian in the linear case, are given. Using these properties and suitable integral inequalities, the existence of the so-called intermediate solutions is examined and an open problem is solved.
On intermediate solutions and the Wronskian for half-linear differential equations / M.CECCHI; Z.DOSLA; M. MARINI. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 336:(2007), pp. 905-918. [10.1016/j.jmaa.2006.12.083]
On intermediate solutions and the Wronskian for half-linear differential equations
MARINI, MAURO
2007
Abstract
The asymptotic behavior of nonoscillatory solutions of the half-linear differential equation is studied. In particular, two Wronskian-type functions, which have some interesting properties, similar to the one of the Wronskian in the linear case, are given. Using these properties and suitable integral inequalities, the existence of the so-called intermediate solutions is examined and an open problem is solved.File | Dimensione | Formato | |
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