Non-oscillation of periodic half-linear equations in the critical case

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Authors

HASIL Petr VESELÝ Michal

Year of publication 2016
Type Article in Periodical
Magazine / Source Electronic Journal of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords half-linear equations; Prüfer angle; oscillation theory; conditional oscillation; oscillation constant
Description Recently, it was shown that certain Euler type half-linear differential equations with periodic coefficients are conditionally oscillatory and the critical oscillation constant was found. Nevertheless, the critical case remains unsolved. The objective of this article is to study the critical case. Thus, we consider the critical value of the coefficients and we prove that any considered equation is non-oscillatory. Moreover, we analyze the situation when the periods of coefficients do not need to coincide.
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