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Linear and nonlinear, second-order problems with Sturm-Liouville-type, multi-point boundary conditions
Bryan P. Rynne
We consider the nonlinear equation where and are continuous, toge…
Landesman-Lazer conditions at half-eigenvalues of the p-Laplacian
François Genoud, Bryan P. Rynne
We study the existence of solutions of the Dirichlet problem {gather} -ϕ_p(u')' -a_+ ϕ_p(u^+) + a_- ϕ_p(u^-) -λϕ_p(u) = f(x,u), \quad x \in (0,1), \label{pb.eq} \tag{1} u(0)=u(1)=0…
Half eigenvalues and the Fucik spectrum of multi-point, boundary value problems
Francois Genoud, Bryan P. Rynne
We consider the nonlinear boundary value problem consisting of the equation \tag{1} -u" = f(u) + h, \quad \text{a.e. on ,} where , together with the multi-…
Linear, second-order problems with Sturm-Liouville-type multi-point boundary conditions
Bryan P. Rynne
We consider the linear eigenvalue problem \tag{1} -u" = λu, \quad \text{on }, where , together with the general multi-point boundary conditions \tag{2} α_0…
Second order, multi-point problems with variable coefficients
Francois Genoud, Bryan P. Rynne
In this paper we consider the eigenvalue problem consisting of the equation -u" = \la r u, \quad \text{on }, where and $\la \in \R$, together with…