On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments

In this paper we consider the differential system (1.1) $u_i'(t)=f_i\big(t,u_1(\tau_{i1}(t)),u_2(\tau_{i2}(t))\big) (i=1,2)$ with the boundary conditions (1.2) $\varphi\big(u_1(0),u_2(0)\big)=0, u_1(t)=u_1(a), u_2(t)=0 for t\geq a,$ where $f_i: [0,a]\times \Bbb{R}^2\to \Bbb{R}$ $(i=1,2)$ satisf...

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Bibliographic Details
Main Authors: Ivan Kiguradze, Nino Partsvania
Format: Article
Language:English
Published: University of Szeged 1999-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1