Oscillation and nonoscillation of perturbed half-linear Euler differential equations

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Authors	DOŠLÝ Ondřej ŘEZNÍČKOVÁ Jana
Year of publication	2007
Type	Article in Periodical
Magazine / Source	Publ. Math. Debrecen
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Euler half-linear equation; perturbation principle; (non)principal solution; variational principle; Riccati technique.
Description	Using general results for (non)oscillation of the second order half-linear differential equation we establish new oscillation and nonoscillation criteria for this equation when it is viewed as a perturbation of half-linear Euler differential equation.
Related projects:	Mathematical structures and their physical applications Limited properties of solutions of differential equations