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Nonlocal boundary value hyperbolic problems involving integral conditions. (English) Zbl 1304.35393

Summary: Stability estimates for the solution of the nonlocal boundary value problem with two integral conditions for hyperbolic equations in a Hilbert space are established. In applications, stability estimates for the solution of the nonlocal boundary value problems for hyperbolic equations are obtained.

MSC:

35L20 Initial-boundary value problems for second-order hyperbolic equations
35B35 Stability in context of PDEs
35L90 Abstract hyperbolic equations
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