Combined Effects of Singular and Superlinear Nonlinearities in Some Singular Boundary Value Problems

An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear Nonlinearities

Recommended by Ivan T. Kiguradze This paper studies the eigenvalue interval for the singular boundary value problem −u gt, u λht, u, t ∈ 0, 1, u0 0 u1, where g h may be singular at u 0, t 0, 1, and may change sign and be superlinear at u ∞. The approach is based on an approximation method together with the theory of upper and lower solutions. Copyright q 2009 Haishen L ¨ u et al. This is an ope...

Boundary Value Problems with Singular Boundary Conditions

Singular boundary conditions are formulated for non-selfadjoint Sturm-Liouville operators with singularities and turning points. For boundary value problems with singular boundary conditions properties of the spectrum are studied and the completeness of the system of root functions is proved.

Solutions of Nonlinear Singular Boundary Value Problems

We study the existence of solutions to a class of problems u + f(t, u) = 0, u(0) = u(1) = 0, where f(t, ·) is allowed to be singular at t = 0, t = 1.

An Existence Result of Positive Solutions for Singular Superlinear Boundary Value Problems and Its Applications

Singular boundary value problems for ODEs

This paper is concerned with the numerical solution of a system of ordinary di erential equations ODEs y Sy t f t y p on an inter val b subject to boundary conditions g y y b p The ODEs have a coe cient that is singular at t but it is assumed that the boundary value problem BVP has a smooth solution Some popular methods for BVPs evaluate the ODEs at t This paper deals with the practical issues ...