Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
6 sonuçtan 1-3 arası sonuçlar
Sayfa 40
... equation ( 4 ) is the HANKEL function ( 46 ) 1 H ( 1 ) ( lar ) = K ( air ) , r = √x 2 + y 2 · It satisfies this equation everywhere except at r = 0 . The GREEN'S function of first kind is expressed in terms of the fundamental solution ...
... equation ( 4 ) is the HANKEL function ( 46 ) 1 H ( 1 ) ( lar ) = K ( air ) , r = √x 2 + y 2 · It satisfies this equation everywhere except at r = 0 . The GREEN'S function of first kind is expressed in terms of the fundamental solution ...
Sayfa 43
... function ( 14b ) N ( x , y ; 5 , n ) = 1 [ K ̧ ( a1R1 ) [ K ( aλR1 ) + K ( aλR2 ) ] , 273 , R1 = [ ( x − 6 ) 2 + ... GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the ...
... function ( 14b ) N ( x , y ; 5 , n ) = 1 [ K ̧ ( a1R1 ) [ K ( aλR1 ) + K ( aλR2 ) ] , 273 , R1 = [ ( x − 6 ) 2 + ... GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the ...
Sayfa 51
... function - Problems 1 ) 3 ) may be solved with the help of the GREEN'S functions for equation ( 1 ) in D. The GREEN'S function G ( P , Q ) of first kind is defined as the fundamental solution of equation ( 1 ) vanishing on the boundary ...
... function - Problems 1 ) 3 ) may be solved with the help of the GREEN'S functions for equation ( 1 ) in D. The GREEN'S function G ( P , Q ) of first kind is defined as the fundamental solution of equation ( 1 ) vanishing on the boundary ...
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