Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 23
... conditions ( 2 ) and ( 3 ) , we shall mean a generalized solution of the ... boundary condition ( 3 ) to an equivalent problem for the whole space . This ... boundary conditions ( 2 ) and ( 3 ) . We then obtain for u1 ( M , M , t ) the ...
... conditions ( 2 ) and ( 3 ) , we shall mean a generalized solution of the ... boundary condition ( 3 ) to an equivalent problem for the whole space . This ... boundary conditions ( 2 ) and ( 3 ) . We then obtain for u1 ( M , M , t ) the ...
Sayfa 28
... boundary conditions such as ( 2 ) and ( 3 ) is given by ( 1 ) = s ( t - r ( M , M ) ) u ( M , M , t ) 2π r ( M , M ) In this formula r ( M , M ) is the distance between the points M and Mo. The solution to equation ( 9 ) of Sec . 1 ...
... boundary conditions such as ( 2 ) and ( 3 ) is given by ( 1 ) = s ( t - r ( M , M ) ) u ( M , M , t ) 2π r ( M , M ) In this formula r ( M , M ) is the distance between the points M and Mo. The solution to equation ( 9 ) of Sec . 1 ...
Sayfa 51
... boundary conditions . Here a and bounded continuous functions and λ is a parameter . b are The following three types of boundary conditions are usually considered : 1 ) V takes on prescribed values on the boundary S of D : ( 1a ) 2 ...
... boundary conditions . Here a and bounded continuous functions and λ is a parameter . b are The following three types of boundary conditions are usually considered : 1 ) V takes on prescribed values on the boundary S of D : ( 1a ) 2 ...
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