An abstract result on asymptotically positively homogeneous differential equations

[摘要] Following from the proof of spectrum theory of completely continuous linear operators, we give an abstract result concerning the estimates of norms of positively homogeneous operators in this paper. Using this result and some duality theorems for coincidence degree due to A. Capietto, J. Mawhin, and F. Zanolin (Trans. Amer. Math. Sec. 329, 1992, 41-72), the periodic boundary value problem of asymptotically positively homogeneous differential equations will be studied and the present results sharply improve those obtained earlier. (C) 1997 Academic Press.

[发布日期] 1997-05-01