On nonlocal boundary value problems for hyperbolic-parabolic equations. (English) Zbl 1140.65039

Ashyralyev, Allaberen; Ozdemir, Yildirim

Taiwanese J. Math. 11, No. 4, 1075-1089 (2007).

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.

Reviewer: Prabhat Kumar Mahanti (Saint John)

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

Keywords:

Hilbert space; parabolic equation; nonlocal boundary value problem; convergence