Dzarakhokhov, A. V.; Eleev, V. A. On a nonlocal boundary problem for a loaded third-order differential equation. (Russian) Zbl 1113.35330 Vladikavkaz. Mat. Zh. 6, No. 3, 36-46 (2004). Summary: Existence and uniqueness are proven of a solution to a nonlocal boundary problem for a mixed-type loaded third-order differential equation with multiple characteristics for the three cases of location of the roots of the characteristic equation. Cited in 7 Documents MSC: 35M10 PDEs of mixed type 34B05 Linear boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations 26A33 Fractional derivatives and integrals Keywords:Gamma-function; Abel integral equation; fractional derivative PDF BibTeX XML Cite \textit{A. V. Dzarakhokhov} and \textit{V. A. Eleev}, Vladikavkaz. Mat. Zh. 6, No. 3, 36--46 (2004; Zbl 1113.35330) Full Text: EMIS