635 resultados para Vanishing Theorems


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"Contract no. Nonr-2381(00)."

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Mode of access: Internet.

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Caption title.

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"5/99"--Colophon.

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Description based on: Fiscal year 2001; title from cover.

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This work is supported by Bulgarian NFSI, grant No. MM–704/97

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We study the Cauchy problem for utt − ∆u + V (x)u^5 = 0 in 3–dimensional case. The function V (x) is positive and regular, in particular we are interested in the case V (x) = 0 in some points. We look for the global classical solution of this equation under a suitable hypothesis on the initial energy.

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∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.

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Some oscillation criteria for solutions of a general perturbed second order ordinary differential equation with damping (r(t)x′ (t))′ + h(t)f (x)x′ (t) + ψ(t, x) = H(t, x(t), x′ (t)) with alternating coefficients are given. The results obtained improve and extend some existing results in the literature.