Fredholm's boundary-value problems for differential systems with a single delay
A Boichuk, J Diblík, D Khusainov… - Nonlinear Analysis: Theory …, 2010 - Elsevier
Conditions are derived for the existence of solutions of linear Fredholm's boundary-value
problems for systems of ordinary differential equations with constant coefficients and a
single delay. Utilizing a delayed matrix exponential and a method of pseudo-inverse by
Moore–Penrose matrices led to an explicit and analytical form of a criterion for the existence
of solutions in a relevant space and, moreover, to the construction of a family of linearly
independent solutions of such problems in a general case with the number of boundary …
problems for systems of ordinary differential equations with constant coefficients and a
single delay. Utilizing a delayed matrix exponential and a method of pseudo-inverse by
Moore–Penrose matrices led to an explicit and analytical form of a criterion for the existence
of solutions in a relevant space and, moreover, to the construction of a family of linearly
independent solutions of such problems in a general case with the number of boundary …
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