On Solvability of Certain Classes of Irregular the Second Order Variation Problems
In the work the irregular model <i>-р(х)и'(х) </i>+ <i>р(+0)и'(+0) </i>+ <i>J</i><sub><i>0</i></sub><i> </i><sup><i>x</i></sup><i>и (τ)dQ(τ) =</i> = <i>F(x) - </i>F<i>(0) </i>of the Stiltjes string on segment 0 [0,l] with boundary conditions <i>и (0) = и (l) = </i>0 is discussed. The solvability conditions of the mentioned problem are described.