Alexander Lomtatidze, Jiří Šremr

On Some Boundary Value Problems Connected with the Whithey Problem

abstract:
The existence of maximal and minimal solutions to some boundary value problems in the segment given by well-ordered lower and upper functions is proved. The general results obtained are applied to three modifications of the Whitney problem.

Mathematics Subject Classification: 34B15, 34B60

Key words and phrases: Second-order non-linear ordinary differential equation, boundary value problem, solvability