Benchohra, Mouffak; Djebali, Smail; Moussaoui, Toufik Boundary value problems for doubly perturbed first order ordinary differential systems. (English) Zbl 1118.34011 Electron. J. Qual. Theory Differ. Equ. 2006, Paper No. 11, 10 p. (2006). The paper is devoted to the study of solutions \(x:[0,1]\to \mathbb{R}^n\) of the system \[ x'(t)=A(t)x(t)+F(t,x(t)) + G(t,x(t))\;\; t\in [0,1] \]satisfying the boundary condition \[ Mx(0)+Nx(1)=\eta. \]Existence of solutions is proved under appropriate conditions, using a fixed point theorem for the sum of a contraction and a compact operator. Reviewer: Pablo Amster (Buenos Aires) Cited in 1 Document MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 34D10 Perturbations of ordinary differential equations Keywords:BVPs; nonlinear alternative PDFBibTeX XMLCite \textit{M. Benchohra} et al., Electron. J. Qual. Theory Differ. Equ. 2006, Paper No. 11, 10 p. (2006; Zbl 1118.34011) Full Text: DOI EuDML