Abstract
We study degenerate boundary-value problems for higher order ordinary differentialequations with polynomial spectral parameter in both the equation and boundary conditions.An isomorphism and a coercive solvability of such problems have been established.We also treat initial boundary-value problems for higher order degenerate parabolic equations.Both studies include, in particular, second order equations with the general Wentzell boundaryconditions. Moreover, the equation may contain a linear abstract operator and boundary conditionsmay contain linear functionals and values of an unknown functions and its derivativesin some inside points of the interval of the problem.
| Original language | English |
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| Pages (from-to) | 147-162 |
| Number of pages | 16 |
| Journal | Scientiae Mathematicae Japonicae |
| Volume | 64 |
| Issue number | 1 |
| State | Published - 2006 |