Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
14 sonuçtan 1-3 arası sonuçlar
Sayfa
... variable . The second is in problems of potential theory ( [ 17 ] , [ 20 ] , [ 25 ] , [ 29 ] , [ 33 ] ) . In the ... variables belonging to a certain function space . Multidimensional problems were first investigated in the papers of ...
... variable . The second is in problems of potential theory ( [ 17 ] , [ 20 ] , [ 25 ] , [ 29 ] , [ 33 ] ) . In the ... variables belonging to a certain function space . Multidimensional problems were first investigated in the papers of ...
Sayfa 47
... variables J = n 2n - 1 ( 27 ) 1-2n X1 , n - 2 ∞ n - 2 - 1x = 1 Σ * k * kdx1‚dx • dx1‚dx2 • • • dxn - 1 ° the integral may be written as ( ax ) * ... * . - coswxdxdx2 ¿ x xdx1dx 2 ••• dxn ( 9 ) n - 1 X k = 1 Applying the formula [ 7 ] 2 ...
... variables J = n 2n - 1 ( 27 ) 1-2n X1 , n - 2 ∞ n - 2 - 1x = 1 Σ * k * kdx1‚dx • dx1‚dx2 • • • dxn - 1 ° the integral may be written as ( ax ) * ... * . - coswxdxdx2 ¿ x xdx1dx 2 ••• dxn ( 9 ) n - 1 X k = 1 Applying the formula [ 7 ] 2 ...
Sayfa 56
... variables b ( 5 , n , f ) , we employ a function of four variables f ( x1 , x2 , Y1 » ¥ 2 ) . The case where the given function is f ( x1 , x2,1 ) has to be investi- gated further . BIBLIOGRAPHY Starred items are in Russian [ 1 ] ...
... variables b ( 5 , n , f ) , we employ a function of four variables f ( x1 , x2 , Y1 » ¥ 2 ) . The case where the given function is f ( x1 , x2,1 ) has to be investi- gated further . BIBLIOGRAPHY Starred items are in Russian [ 1 ] ...
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