Robert Hakl, Alexander Lomtatidze, Ioannis P. Stavroulakis

Bounded Solutions to the First Order Scalar Functional Differential Equations

abstract:
The question on the existence, uniqueness, and sign properties of a bounded on $[a,+\infty[\,$ solution to the boundary value problem for the first order functional differential equation is studied. The work is divided into two parts: in the first one, the linear problem is studied, the second one is devoted to the nonlinear problem.

Mathematics Subject Classification: 34K10, 34K12, 34K06, 34K38

Key words and phrases: Bounded solution, boundary value problem, functional-differential equation, solvability, uniqueness