In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(...In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, f : R → R is continuous, strictly increasing and f(0) = 0.展开更多
By using fixed-point index theory,we study boundary value problems for systems of nonlinear second-order differential equation,and a result on existence and multiplicity of positive solutions is obtained.
In this paper, using the fixed-point index theorems and the cone theory we study the structure of the positive solutions to a kind of second-order three-point boundary value problems. We obtain the result which guaran...In this paper, using the fixed-point index theorems and the cone theory we study the structure of the positive solutions to a kind of second-order three-point boundary value problems. We obtain the result which guarantee that the positive solution set of the three-point boundary value problem has a continuum, which means that there exists a nonempty, closed and connected subset.展开更多
基金Supported by the Foundation of the Office of Science and Technology of Henan(122102310373)Supported by the NSF of Education Department of Henan Province(12B110025)
文摘In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, f : R → R is continuous, strictly increasing and f(0) = 0.
基金Sponsored by the NSF of Anhui Provence(2005kj031ZD,050460103)Supported by the Teaching and Research Award Program for Excellent Teachers in Higher Education Institutions of Anhui Provence and the Key NSF of Education Ministry of China(207047)
文摘By using fixed-point index theory,we study boundary value problems for systems of nonlinear second-order differential equation,and a result on existence and multiplicity of positive solutions is obtained.
基金supported by NNSF of China (No.70671047)supported by the Foundation of President of Anhui Agriculture University (2008)
文摘In this paper, using the fixed-point index theorems and the cone theory we study the structure of the positive solutions to a kind of second-order three-point boundary value problems. We obtain the result which guarantee that the positive solution set of the three-point boundary value problem has a continuum, which means that there exists a nonempty, closed and connected subset.
