Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments

الملخص EN

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.