Value Problems For Functional Equations Research Articles

Solvability of Singular Integro-Differential Equations with Multiple Complex Shifts

We consider initial value problems for functional equations on the half-axis that contain Hilbert transforms, derivatives and complex shifts. The class of problems is motivated by various applications. Results are Fredholm and invertibility criteria as well as explicit analytical solution in cases where techniques for the constructive factorization of symbol matrices are available.

Nonlinear Boundary Value Problems on Sequence Spaces

In this paper we study the solvability of nonlinear, discrete-time boundary value problems for functional equations. Conditions are established for the existence of solutions to problems of the form $$x(k + 1) = f(k, x(k)) + \\lambda g(k, x(k)); \\quad k = 0, 1, 2, \\ldots$$

Two further applications of the edelstein fixed point theorem to initial value problems of functional equations

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