Multidimensional Inverse Problems for Differential EquationsM. M. Lavrentiev, Mikhail Mikhailovich Lavrent£ev, Vladimir Gavrilovich Romanov, V. G. Romanov, V. G. Vasiliev Springer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
26 sonuçtan 1-3 arası sonuçlar
Sayfa 17
... obtain 1 ( 11 ) -Uk ( s ) + ( ۳ ) پلار . Šų ( r ) Tx ( r , s ) dr 1 = S Q ( 3,5 ) as LV , where ( 12 ) 1 a TM k ( r , s ) = ( 3‚s ) 3s ( r , s ) The kernel of equation ( 11 ) has a weak polar singularity . At the same time , r - s T ( r ...
... obtain 1 ( 11 ) -Uk ( s ) + ( ۳ ) پلار . Šų ( r ) Tx ( r , s ) dr 1 = S Q ( 3,5 ) as LV , where ( 12 ) 1 a TM k ( r , s ) = ( 3‚s ) 3s ( r , s ) The kernel of equation ( 11 ) has a weak polar singularity . At the same time , r - s T ( r ...
Sayfa 44
... obtain the integral equation ∞ ∞ 1 [ ƒK 。( ax [ ( x = c ) 2 + n2 ] } ) } f ( t , n ) d ¢ ân = g ( x , 1 ) , ( 16 ) 18 O 8 ( x , 1 ) = √ ( [ 741 ( x , x ) [ 741 ( x , x ) ( 1 ) - 00 s K。( ax | x - 5 | ) 2 ( 5 , n ) de ] -8 for the ...
... obtain the integral equation ∞ ∞ 1 [ ƒK 。( ax [ ( x = c ) 2 + n2 ] } ) } f ( t , n ) d ¢ ân = g ( x , 1 ) , ( 16 ) 18 O 8 ( x , 1 ) = √ ( [ 741 ( x , x ) [ 741 ( x , x ) ( 1 ) - 00 s K。( ax | x - 5 | ) 2 ( 5 , n ) de ] -8 for the ...
Sayfa 47
... obtain the following representation : 1 - n ( 10 ) Jn = ( 2π ) 2 + ო 2,2 2 1 2 + w + 2 + .. · ო n - 1 e 2 + ... 3 ' n - 1 The integral equation ( 8 ) is obviously of convolution - type in the variables x1 , x2 , ... , xn - 1 . From ...
... obtain the following representation : 1 - n ( 10 ) Jn = ( 2π ) 2 + ო 2,2 2 1 2 + w + 2 + .. · ო n - 1 e 2 + ... 3 ' n - 1 The integral equation ( 8 ) is obviously of convolution - type in the variables x1 , x2 , ... , xn - 1 . From ...
İçindekiler
Generalization to Analytic Curves | 10 |
On the Problem of Determining a Function from Its Mean | 19 |
Two Formulations of the Linearized Inverse Problem | 28 |
Telif Hakkı | |
2 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 Akad belong boundary conditions CAUCHY data chapter coefficients consider const continuous function corresponding cosy Denote derive determining a function differential equation Dokl 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 HÖLDER condition hyperplane inequality 18 integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inversion formula kernel linearized inverse problem mean values multidimensional inverse problems Nauk SSSR obtain operator L defined parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind solution to equation STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx