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2007年05月13日

【期刊论文】Solutions of Impulsive Boundary Value Problems on the Half-Line

刘希玉， Xiyu Liu

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 222, 411-430 (1998)，-0001，（）：

-1年11月30日

摘要

This paper presents some existence results for a class of impulsive boundary value problems with nonhomogeneous boundary data on the half-line. By applying fixed-point theorems on cones, we obtain the existence of positive bounded and unbounded solutions. Our methods are integral equations, approximate solutions, a priori bounds and modified Arzela techniques.

Existence， impulsive boundary value problems， singular， cone

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2007年05月13日

【期刊论文】PERIODIC SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEMS WITH IMPULSES

刘希玉， Xiyu Liu and Hong Liu

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis 9 (2002) 397-416，-0001，（）：

-1年11月30日

摘要

This paper deals with periodic solutions of impulsive second order boundary value problems with parameter, Existence results are presented for nonlinearity with mixed sublinear and superlinear term at λ-0 and (or) λ≠0. Continua of the solution set are obtained. The main technique is fixed point argument of expansion and compression type.

Impulsive， boundary value problems， periodic solutions， fixed point