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
5 sonuçtan 1-3 arası sonuçlar
Sayfa 9
... surface of the ellipsoid of revolution with parameters S q , p , ε is the q , p and ε . to equation ( 23 ) Just as in the preceding , by applying the operator Lk keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ...
... surface of the ellipsoid of revolution with parameters S q , p , ε is the q , p and ε . to equation ( 23 ) Just as in the preceding , by applying the operator Lk keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ...
Sayfa 10
... surfaces of revolution more general than ellipsoids . However , we shall confine ourselves to the case n = 1 , in other words , plane curves . Moreover , we shall only con- sider curves symmetric about the x - axis ( s = 0 ) . However ...
... surfaces of revolution more general than ellipsoids . However , we shall confine ourselves to the case n = 1 , in other words , plane curves . Moreover , we shall only con- sider curves symmetric about the x - axis ( s = 0 ) . However ...
Sayfa 46
... surface of the half - space D. = ' n Xn α in relation ( 7 ) , we arrive at the integral equation λ ) G1 ( x , α ; 5,5 ) d§§n = g ( x , 1 ) , ( 8 ) D 8 ( x , 1 ) = √ ( [ r1 ( x , x ) + ( n1 ( 5 , 1 ) ? Q2 ( x , a ; 5,0 ) α ¢ ] a 1 Sn ...
... surface of the half - space D. = ' n Xn α in relation ( 7 ) , we arrive at the integral equation λ ) G1 ( x , α ; 5,5 ) d§§n = g ( x , 1 ) , ( 8 ) D 8 ( x , 1 ) = √ ( [ r1 ( x , x ) + ( n1 ( 5 , 1 ) ? Q2 ( x , a ; 5,0 ) α ¢ ] a 1 Sn ...
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