Boundary value problems for systems of second-order functional differential equations

Svatoslav Staněk
1999 Proceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations (August 10--14, 1999, Szeged, Hungary) edited by: Géza Makay and László Hatvani   unpublished
Systems of second-order functional differential equations (x (t)+L(x)(t)) = F (x)(t) together with nonlinear functional boundary conditions are considered. Here L : operators. Existence results are proved by the Leray-Schauder degree and the Borsuk antipodal theorem for α-condensing operators. Examples demonstrate the optimality of conditions.
doi:10.14232/ejqtde.1999.5.28 fatcat:3h2tuy3hl5evhk5zdh7phmykom