Geodesic
A note on the oscillation problems for differential equations with $p(t)$-Laplacian
Archivum mathematicum, Tome 59 (2023) no. 1, pp. 39-45 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper deals with the oscillation problems on the nonlinear differential equation $(a(t)|x^{\prime }|^{p(t)-2}x^{\prime })^{\prime }+b(t)|x|^{\lambda -2}x=0$ involving $p(t)$-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.
This paper deals with the oscillation problems on the nonlinear differential equation $(a(t)|x^{\prime }|^{p(t)-2}x^{\prime })^{\prime }+b(t)|x|^{\lambda -2}x=0$ involving $p(t)$-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.
DOI : 10.5817/AM2023-1-39
Classification : 34C10, 34C15
Keywords: oscillation; $p(t)$-Laplacian; half-linear differential equations 
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Fujimoto, Kōdai. A note on the oscillation problems for differential equations with $p(t)$-Laplacian. Archivum mathematicum, Tome 59 (2023) no. 1, pp. 39-45. doi: 10.5817/AM2023-1-39

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