Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 9
... Suppose that under this trans- formation the point ( x , s ) goes into ( y , s ) and the point ( x ° , 0 ) goes into ( y ° , 0 ) , where ( y , s ) = ( 1,2 , ... , s ) and ( y ° , 0 ) = ( y1 , 0 , ... , 0,0 ) . The matrix of the ...
... Suppose that under this trans- formation the point ( x , s ) goes into ( y , s ) and the point ( x ° , 0 ) goes into ( y ° , 0 ) , where ( y , s ) = ( 1,2 , ... , s ) and ( y ° , 0 ) = ( y1 , 0 , ... , 0,0 ) . The matrix of the ...
Sayfa 23
... suppose that the function ( 5 ) ( M1 , M , t ) = u ( M1 , M , t ) has been prescribed . It is convenient to reduce the stated problem by use of the boundary condition ( 3 ) to an equivalent problem for the whole space . This we do by ...
... suppose that the function ( 5 ) ( M1 , M , t ) = u ( M1 , M , t ) has been prescribed . It is convenient to reduce the stated problem by use of the boundary condition ( 3 ) to an equivalent problem for the whole space . This we do by ...
Sayfa 47
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. Suppose that for given g ( x , 1 ) , the solution to equation ( 8 ) is a function f ( x , xn ) satisfying the conditions 1. f ( x , x ) = 0 n for Xn < α , a > 0 , 2. f ( x , x ) € L1 ( D ) ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. Suppose that for given g ( x , 1 ) , the solution to equation ( 8 ) is a function f ( x , xn ) satisfying the conditions 1. f ( x , x ) = 0 n for Xn < α , a > 0 , 2. f ( x , x ) € L1 ( D ) ...
İçindekiler
CHAPTER | 1 |
Problem of Determining a Function inside a Circle from | 13 |
On the Problem of Determining a Function from Its Mean | 19 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
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 analytic function arbitrary belong boundary conditions CAUCHY data chapter consider const continuous function corresponding Denote derive determining a function differential equation domain earth's ellipses ellipsoid of revolution exists expression family of curves following theorem function u(r fundamental solution given GREEN'S function half-plane half-space HOLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inverse problem inversion formula kernel L₁ linearized inverse problem M₁ mean values multidimensional inverse problems n₁ obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₁ R₂ relations right-hand side second kind SM,t solution to equation take FOURIER transforms telegraph equation travel-times two-parameter family u₁ M,M,t unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx θε ду эф