Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa 6
... expressions in brackets are complex . Nevertheless , the entire expression in braces is real . For Ε = 0 , equation ( 14 ) can be written as ( 14 ) 2 п 1 4 Juce π u ( r , ) coska = [ MV ] = o • Hence , if a solution to ( 5 ) exists ...
... expressions in brackets are complex . Nevertheless , the entire expression in braces is real . For Ε = 0 , equation ( 14 ) can be written as ( 14 ) 2 п 1 4 Juce π u ( r , ) coska = [ MV ] = o • Hence , if a solution to ( 5 ) exists ...
Sayfa 35
... expression ( 9b ) S s n2 ( x , y ) da - n2 ( x , y ) da n1 ( x , y ) ds - r ° ( x1 + xo ) is of second order as compared to the function ( 9c ) S r ° ( xq , xo ) n1 ( x , y ) ds and using the result obtained above , we arrive at formula ...
... expression ( 9b ) S s n2 ( x , y ) da - n2 ( x , y ) da n1 ( x , y ) ds - r ° ( x1 + xo ) is of second order as compared to the function ( 9c ) S r ° ( xq , xo ) n1 ( x , y ) ds and using the result obtained above , we arrive at formula ...
Sayfa 49
... expression , we wind up with an integral equation for f ( 5,5 ) , namely Se ( E , En ) Q2 ( x , 0 ; E , EN ) deden ( 14 ) D g ( x , λ ) = λ 1 + = g ( x , x ) , 8 ( x , 1 ) = stay { $ t ; ( x , x ) • ( my ( x , x ) Q , ( x , 0 ; 6,0 ) dc } ...
... expression , we wind up with an integral equation for f ( 5,5 ) , namely Se ( E , En ) Q2 ( x , 0 ; E , EN ) deden ( 14 ) D g ( x , λ ) = λ 1 + = g ( x , x ) , 8 ( x , 1 ) = stay { $ t ; ( x , x ) • ( my ( x , x ) Q , ( x , 0 ; 6,0 ) dc } ...
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 |
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