Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa
... reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them numerically by application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods ...
... reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them numerically by application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods ...
Sayfa 22
... reduced to an integral- geometric problem considered in Chapter 1. To determine the coefficient , we need to know information of the same dimensionality as that of the coefficient a ( x , y , z ) . 1. Statement of the Inverse Problem ...
... reduced to an integral- geometric problem considered in Chapter 1. To determine the coefficient , we need to know information of the same dimensionality as that of the coefficient a ( x , y , z ) . 1. Statement of the Inverse Problem ...
Sayfa 43
... reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ( 4 ) . An integral equation analogous to ( 8 ) may be derived by ...
... reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ( 4 ) . An integral equation analogous to ( 8 ) may be derived by ...
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