Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 38
2005-03 発行

Oscillation and nonoscillation theorems for second order nonlinear differential equations with p-Laplacian

Yamaoka Naoto
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In this paper, we are concerned with the oscillation problem for the nonlinear differential equation (φp(a(t)x′))′ + b(t)g(x) = 0, where φp(y) is the one-dimensional p-Laplacian operator, and g(x) satisfies xg(x) > 0 if x ≠ 0.