论文信息 - Eigenvalue intervals for higher order problems with singular nonlinearities

Eigenvalue intervals for higher order problems with singular nonlinearities

Abstract We study eigenvalue intervals for higher order problems with multipoint boundary conditions. We consider the case when the nonlinearity may be singular at t = 0 or t = 1. Our approach is based on topological methods and cover both sublinear and superlinear cases. We also study the continuous dependence of solutions on functional parameters.

Donal O'Regan | Aleksandra Orpel

[1] R. Ma,et al. Existence of Solutions of Nonlinear m-Point Boundary-Value Problems☆ , 2001 .

[2] R. Ma,et al. Positive solutions of a nonlinear three-point boundary-value problem. , 1999 .

[3] Yanping Guo,et al. Three positive solutions for second-order m-point boundary value problems , 2004, Appl. Math. Comput..

[4] Christian Fabry,et al. Resonance with respect to the Fucik spectrum , 2000 .

[5] Daomin Cao,et al. POSITIVE SOLUTIONS TO A SECOND ORDER MULTI-POINT BOUNDARY-VALUE PROBLEM , 2000 .

[6] Ruyun Ma,et al. Positive solutions for nonlinear m-point boundary value problems of dirichlet type via fixed-point index theory , 2003, Appl. Math. Lett..

[7] Ruyun Ma. Existence of positive solutions for second order m-point boundary value problems , 2002 .

[8] John R. Graef,et al. Positive solutions to a multi-point higher order boundary value problem , 2006 .