On the approximation of a small solution from a forward-backward equation

Proceedings of International Conference Numerical Analysis and Applied Mathematics (ICNAAM 2013), American Institute of Physics, New York, 1558 (2013), 642-645
http://dx.doi.org/10.1063/1.4825573

Many mathematical models contain mixed type functional differential equations (MTFDEs), equations with both delayed and advanced arguments. Often, MTFDEs appear in different areas from science like biology, control, economy and others. On the analysis of delay differential equations (DDEs), the numerical computation of small solutions generally leads to degeneracy and, consequently, to serious computational problems. To extend the investigation concerning the linear case started earlier, we do a preliminary study about small solutions for a particular nonautonomous case of MTFDE.