Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
4 sonuçtan 1-3 arası sonuçlar
Sayfa 34
... y ) = n ( x , y ) + n1 ( x , y ) where n ( x , y ) is a given function and smooth small function . Correspondingly , as the sum n1 ( x , y ) is a sufficiently ( x1 , x ) may be represented = ( x 12 x 0 ) = T τη ( χ ( 5 ) Here ( x1 , x ) ...
... y ) = n ( x , y ) + n1 ( x , y ) where n ( x , y ) is a given function and smooth small function . Correspondingly , as the sum n1 ( x , y ) is a sufficiently ( x1 , x ) may be represented = ( x 12 x 0 ) = T τη ( χ ( 5 ) Here ( x1 , x ) ...
Sayfa 35
... x ) from ( 8 ) in the form We determine T1 ( x1 , x0 ) T1 ( x1 , x ) = S n1 ( x , y ) ds + n ( x , y ) ds - r ° ( x1 ... function ( 9c ) S r ° ( xq , xo ) n1 ( x , y ) ds and using the result obtained above , we arrive at formula ( 7 ) ...
... x ) from ( 8 ) in the form We determine T1 ( x1 , x0 ) T1 ( x1 , x ) = S n1 ( x , y ) ds + n ( x , y ) ds - r ° ( x1 ... function ( 9c ) S r ° ( xq , xo ) n1 ( x , y ) ds and using the result obtained above , we arrive at formula ( 7 ) ...
Sayfa 36
... X xo , we can determine n1 ( x , 0 ) ) . If we extend it in a - b n1 continuous fashion into the strip yo line y = n1 ( x , y ) - b a ' and then evenly about the we wind up with a problem of determining function from its mean values ...
... X xo , we can determine n1 ( x , 0 ) ) . If we extend it in a - b n1 continuous fashion into the strip yo line y = n1 ( x , y ) - b a ' and then evenly about the we wind up with a problem of determining function from its mean values ...
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