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Oleinik constructed examples of second-order parabolic equa- tions in the exponentially narrowing domains for which the solution unique- ness class for the second boundary value
Using the potential method and the theory of singular integral equa- tions with discontinuous coefficients, the existence of a solution of the mixed boundary value problem is
Problems for linear equations with nonlocal (initial or boundary) condi- tions have been studied in many papers, but boundary value problems for nonlinear equations with
Solutions of integral equa- tions are expressed by the inverse operators of auxiliary exterior and interior boundary value problems, i.e., theorems on the solvability of
Fractional integral and diffeo- integral equations involving Riemann-Liouville operators of arbitrary order α > 0 have been solved by various authors (see [5, 8, 10, 11, 13]),
In this section we introduce basic facts of fractional calculus involving the Riemann- Liouville fractional differential operator and list several recent and classical results
Yuan, Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation , Nonlinear Analysis 71
[1] Coddington, E.A., Levinson N., Theory of Ordinary Differential Equa- tions , Mcgraw-Hill, New York, 1975. [2] Coppel, W.A., On the Stability of Ordinary Differential Equations
