Abstract
This paper deals with the nonlinear differential equation
where r(t) > 0 and c(t) are continuous functions, and p(t) > 1 is a smooth function. We establish a comparison theorem for the oscillation problem for this equation with respect to the power p(t). Using our result, we can utilize oscillation criteria given for half-linear differential equations to equations with p(t)-Laplacian.
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This work was supported by JSPS KAKENHI Grant Number JP17J00259.
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Fujimoto, K. Power comparison theorems for oscillation problems for second order differential equations with p(t)-Laplacian. Acta Math. Hungar. 162, 333–344 (2020). https://doi.org/10.1007/s10474-020-01034-5
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DOI: https://doi.org/10.1007/s10474-020-01034-5