Nataliya Dilna
abstract:
Some general conditions sufficient for unique solvability of the Cauchy problem
for nonlinear functional differential equations are established. The class of
equations considered covers, in particular, nonlinear equations with transformed
argument, integro-differential equations, neutral equations and their systems of
an arbitrary order.
Mathematics Subject Classification: 34K
Key words and phrases: Initial-value problem, non-linear functional differential equation, unique solvability, differential inequality