ON THE OSCILLATION OF AN ELLIPTIC EQUATION OF FOURTH ORDER
Keyword(s):
The elliptic equation \[\Delta^2 u(|x|)+g(|x|)u(|x|)=f(|x|)\] is studied for its oscillatory behavior. $\Delta$ is the Laplace operator. Sufficient condi tions have been found to ensure that all solutions of this equation continuable in some exterior domain $\Omega=\{x=(x_1, x_2, x_3):|x|>A\}$ where $|x|=(\sum_{i=1}^3 x_i^2)^{1/2}$ are oscillatory.
1982 ◽
Vol 25
(1)
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pp. 71-77
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1986 ◽
Vol 9
(1)
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pp. 105-109
2012 ◽
Vol 2
(2)
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pp. 281-319
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2017 ◽
Vol 55
(1)
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pp. 87-98
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Keyword(s):