We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. The nonlocal boundary conditions include terms of the state function and the derivative of the state function. A similar nonhomogeneous problem is also discussed.
"Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments." Abstr. Appl. Anal. 2012 (SI09) 1 - 25, 2012. https://doi.org/10.1155/2012/851691