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On a nonlocal boundary problem for a loaded third-order differential equation. (Russian) Zbl 1113.35330

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.

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
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