Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 5
... hold will be designated as class U. We shall also make a slight change in the statement of the problem . Consider a circle of radius ro in the ( x , s ) -plane and all ellipses of eccentricity 0 ≤ε < 1 falling inside the circle . It is ...
... hold will be designated as class U. We shall also make a slight change in the statement of the problem . Consider a circle of radius ro in the ( x , s ) -plane and all ellipses of eccentricity 0 ≤ε < 1 falling inside the circle . It is ...
Sayfa 7
... hold : ( 18a ) 2π ∞ [ [ Mkv ] e = o coska❤ coska = v ( p , ε ) . k = 0 ε = 0 p + r [ Mkv ] = 0 should be interpreted to mean that E = 0 p + r evaluated at ε = 0 and then p replaced by this identity we deduce that M , v is first to be ...
... hold : ( 18a ) 2π ∞ [ [ Mkv ] e = o coska❤ coska = v ( p , ε ) . k = 0 ε = 0 p + r [ Mkv ] = 0 should be interpreted to mean that E = 0 p + r evaluated at ε = 0 and then p replaced by this identity we deduce that M , v is first to be ...
Sayfa 34
... holds : Theorem 11 : The function r ( x1 , x ) is then also small . The following theorem can be represented to within in- by 2 finitesimals of order n 1 ( x 1 x 0 ) 1 S ( 7 ) = r ° ( x1 » xo ) n1 ( x , y ) ds where r ° ( x1 ... hold , 34 -
... holds : Theorem 11 : The function r ( x1 , x ) is then also small . The following theorem can be represented to within in- by 2 finitesimals of order n 1 ( x 1 x 0 ) 1 S ( 7 ) = r ° ( x1 » xo ) n1 ( x , y ) ds where r ° ( x1 ... hold , 34 -
Diğer baskılar - Tümünü görüntüle
Multidimensional Inverse Problems for Differential Equations M. M. Lavrentiev,V. G. Romanov,V. G. Vasiliev Metin Parçacığı görünümü - 1970 |
Sık kullanılan terimler ve kelime öbekleri
absolutely integrable functions Akad analytic function belong boundary conditions CAUCHY data chapter coefficients consider const continuous function coordinates corresponding cosk Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution expression family of curves following theorem function u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 18 integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inversion formula kernel Lavrentiev linearized inverse problem multidimensional inverse problems Nauk SSSR obtain parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind SM,t solution to equation take FOURIER transforms telegraph equation two-parameter family unique solution uniqueness theorem unit circle variables VOLTERRA equation waves wxxx