Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... origin and the other running over all points of the hyperplane S = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine u ( x , s ) from the given ...
... origin and the other running over all points of the hyperplane S = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine u ( x , s ) from the given ...
Sayfa 10
... origin such that д f ( 0,0 ) # 0. Let the integrals an ( 2 ) S Soc Ρ , ε • ( ε , ε cos ) u ( r , P ) d❤ = v ( p , e ) , be given along these curves , wherein ( ɛ , n ) is a known analytic function of ε and n in a neighborhood of the origin ...
... origin such that д f ( 0,0 ) # 0. Let the integrals an ( 2 ) S Soc Ρ , ε • ( ε , ε cos ) u ( r , P ) d❤ = v ( p , e ) , be given along these curves , wherein ( ɛ , n ) is a known analytic function of ε and n in a neighborhood of the origin ...
Sayfa 27
... origin is a singular point for K ( t , n ) , namely , its limit there does not exist . However K ( t , n ) remains bounded in a neighborhood of the origin . Formula ( 15 ) leads to ( 15a ) K ( t , n ) = √ng - n ' K1 ( t , n ) . The ...
... origin is a singular point for K ( t , n ) , namely , its limit there does not exist . However K ( t , n ) remains bounded in a neighborhood of the origin . Formula ( 15 ) leads to ( 15a ) K ( t , n ) = √ng - n ' K1 ( t , n ) . The ...
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