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.


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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