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.
Related projects:	Mathematical structures and their physical applications Limited properties of solutions of differential equations