Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 10
... ε ) a function u ( r , ) even in Y. Therefore throughout the following when we speak of a solution to ( 2 ) we shall mean an even function of Y. The following theorem holds . Theorem 4 : If equation 10 - Generalization to Analytic Curves.
... ε ) a function u ( r , ) even in Y. Therefore throughout the following when we speak of a solution to ( 2 ) we shall mean an even function of Y. The following theorem holds . Theorem 4 : If equation 10 - Generalization to Analytic Curves.
Sayfa 18
... holds will be v ( p , a ) of U under the mapping ( 2 ) will Theorem 6 : The set V possesses the following properties : 10 . 20 . For each v ( p , a ) , the functions MV ( k = 0 , ± 1 , 2 , ... ) are continuous . . For each v ( p , a ) ...
... holds will be v ( p , a ) of U under the mapping ( 2 ) will Theorem 6 : The set V possesses the following properties : 10 . 20 . For each v ( p , a ) , the functions MV ( k = 0 , ± 1 , 2 , ... ) are continuous . . For each v ( p , a ) ...
Sayfa 34
... holds : Theorem 11 : The function r ( x1 , x ) is then also small . The following theorem can be represented to ... hold , 34 -
... holds : Theorem 11 : The function r ( x1 , x ) is then also small . The following theorem can be represented to ... 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 |
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