Multiplicity of positive solutions for a fourth-order quasilinear singular differential equation.
Multiplicity of positive solutions for a nonlinear fourth order equation
We study the existence and multiplicity of positive solutions of the nonlinear fourth order problem ⎧ in (0,1), ⎨ ⎩u(0) = a ≥ 0, u’(0) = a’ ≥ 0, u(1) = b ≥ 0, u(1) = -b’ ≤ 0 The methods employed are upper and lower solutions and degree theory arguments.
Multiplicity of positive solutions for four-point boundary value problems of impulsive differential equations with -Laplacian.
Multiplicity of positive solutions to second order differential equations with Neumann boundary conditions
We study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions. The proof relies on a fixed point theorem in cones, and the positivity of Green's function plays a crucial role in our study.
Multi-point boundary value problems for higher order differential equations.