@article{rodriguez_taylor_2008, title={Multipoint boundary value problems for nonlinear ordinary differential equations}, volume={68}, ISSN={["0362-546X"]}, DOI={10.1016/j.na.2007.03.038}, abstractNote={In this paper we provide sufficient conditions for the existence of solutions to multipoint boundary value problems for nonlinear ordinary differential equations. We consider the case where the solution space of the associated linear homogeneous boundary value problem is less than 2. When this solution space is trivial, we establish existence results via the Schauder Fixed Point Theorem. In the resonance case, we use a projection scheme to provide criteria for the solvability of our nonlinear boundary value problem. We accomplish this by analyzing a link between the behavior of the nonlinearity and the solution set of the associated linear homogeneous boundary value problem.}, number={11}, journal={NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS}, author={Rodriguez, Jesus and Taylor, Padraic}, year={2008}, month={Jun}, pages={3465–3474} }
 @article{rodriguez_taylor_2007, title={Scalar discrete nonlinear multipoint boundary value problems}, volume={330}, ISSN={["0022-247X"]}, DOI={10.1016/j.jmaa.2006.08.008}, abstractNote={In this paper we provide sufficient conditions for the existence of solutions to scalar discrete nonlinear multipoint boundary value problems. By allowing more general boundary conditions and by imposing less restrictions on the nonlinearities, we obtain results that extend previous work in the area of discrete boundary value problems [Debra L. Etheridge, Jesús Rodriguez, Periodic solutions of nonlinear discrete-time systems, Appl. Anal. 62 (1996) 119–137; Debra L. Etheridge, Jesús Rodriguez, Scalar discrete nonlinear two-point boundary value problems, J. Difference Equ. Appl. 4 (1998) 127–144].}, number={2}, journal={JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, author={Rodriguez, Jesus and Taylor, Padraic}, year={2007}, month={Jun}, pages={876–890} }
 @article{rodriguez_taylor_2007, title={Weakly nonlinear discrete multipoint boundary value problems}, volume={329}, ISSN={["0022-247X"]}, DOI={10.1016/j.jmaa.2006.06.024}, abstractNote={In this paper we study nonlinear, discrete, multipoint boundary value problems of the formx(t+1)=A(t)x(t)+ϵf(t,x(t)) subject toB0x(0)+B1x(1)+⋯+BNx(N)=0. We provide sufficient conditions for the existence of solutions and we present a qualitative analysis of the way the solutions depend on the parameter ϵ.}, number={1}, journal={JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS}, author={Rodriguez, Jesus and Taylor, Padraic}, year={2007}, month={May}, pages={77–91} }