On intermediate solutions and the Wronskian for half-linear differential equations

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Authors

CECCHI Mariella DOŠLÁ Zuzana MARINI Mauro

Year of publication 2007
Type Article in Periodical
Magazine / Source J. Math. Anal. Appl.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Intermediate solutions; half-linear equation
Description 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.
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