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Some annulus oscillation criteria are established for the second order damped elliptic differential equation [수식]under quite general assumption that they are based on the information only on a sequence of annuluses of Ω(r0) rather than on the whole exterior domain Ω(r0). Our results are extensions of those due to Kong for ordinary differential equations. In particular, the results obtained here can be applied to the extreme case such as Ω(r0) c(x)dx = −∞.
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참고문헌 (18)
참고문헌 신청
A. Tiryaki / 2005 / Interval oscillation of a general class of second-order nonlinear differential equations with nonlinear damping / Nonlinear Anal. 60 (1) : 49 ~ 63
C. A. Swanson / 1979 / Semilinear second-order elliptic oscillation / Canad. Math. Bull. 22 (2) : 139 ~ 157
Ch. G. Philos / 1989 / Oscillation theorems for linear differential equations of second order / Arch. Math. (Basel) 53 (5) : 482 ~ 492
D. Gilbarg / 1983 / Elliptic Partial Differential Equations of Second Order / Spinger-Verlag
E. S. Noussair / 1980 / Oscillation of semilinear elliptic inequalities by Riccati transformations / Canad. J. Math. 32 (4) : 908 ~ 923
C. A. Swanson / 1979 / Semilinear second-order elliptic oscillation / Canad. Math. Bull. 22 (2) : 139 ~ 157
Ch. G. Philos / 1989 / Oscillation theorems for linear differential equations of second order / Arch. Math. (Basel) 53 (5) : 482 ~ 492
D. Gilbarg / 1983 / Elliptic Partial Differential Equations of Second Order / Spinger-Verlag
E. S. Noussair / 1980 / Oscillation of semilinear elliptic inequalities by Riccati transformations / Canad. J. Math. 32 (4) : 908 ~ 923
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