Výsledky vyhledávání - "P. E. Sobolevskii"

We consider the initial-value problem for linear delay partial differential equations of the parabolic type. We give a sufficient condition for the stability of the solution of this initial-value problem. We present the stability estimates for the so

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Akademický článek

A note on the difference schemes for hyperbolic equations

Autor: A. Ashyralyev, P. E. Sobolevskii

Publikováno v: Abstract and Applied Analysis, Vol 6, Iss 2, Pp 63-70 (2001)

The initial value problem for hyperbolic equations d 2u(t)/dt 2+A u(t)=f(t)(0≤t≤1),u(0)=φ,u′(0)=ψ, in a Hilbert space H is considered. The first and second order accuracy difference schemes generated by the integer power of A approximately so

Externí odkaz: https://doaj.org/article/14c4190124984e87ad3157d78039f4db

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Akademický článek

A note on the difference schemes for hyperbolic-elliptic equations

Autor: A. Ashyralyev, G. Judakova, P. E. Sobolevskii

Publikováno v: Abstract and Applied Analysis, Vol 2006 (2006)

The nonlocal boundary value problem for hyperbolic-elliptic equation d2u(t)/dt2+Au(t)=f(t), (0≤t≤1), −d2u(t)/dt2+Au(t)=g(t), (−1≤t≤0), u(0)=ϕ, u(1)=u(−1) in a Hilbert space H is considered. The second order of accuracy difference schem

Externí odkaz: https://doaj.org/article/3d670ae4ebc24c82a7aa518055a3f060

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