Ivan Kiguradze, Nino Partsvania

Some Optimal Conditions for the Solvability and Unique Solvability of the Two-Point Neumann Problem

For second order ordinary differential equations, unimprovable sufficient conditions are established for the solvability and unique solvability of the Neumann boundary value problem.

Mathematics Subject Classification: 34B05, 34B15

Key words and phrases: Second order ordinary differential equation, linear, nonlinear, the Neumann problem, existence theorem, uniqueness theorem