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On nonlocal boundary value problems for hyperbolic-parabolic equations. (English) Zbl 1140.65039
The authors consider a nonlocal boundary value problem for a differential equation of mixed type in a Hibert space with selfadjoint positive definite operator. A number of theorems is developed concerning convergence, stability, and uniqueness of the proposed theory. No numerical experiments are presented for illustration.

MSC:
65J10 Numerical solutions to equations with linear operators
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
34G10 Linear differential equations in abstract spaces
35M10 PDEs of mixed type
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