Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 14
... unit circle . 30. Each curve consists of two branches whose equations are expressible in the form ( 1 ) = α - − ( −1 ) 3μg ( −1 ) Jug ( r , p ) √r - p , j = 1,2 ( 0 < p < r < 1 ) Here Ρ is the distance from the center of the circle ...
... unit circle . 30. Each curve consists of two branches whose equations are expressible in the form ( 1 ) = α - − ( −1 ) 3μg ( −1 ) Jug ( r , p ) √r - p , j = 1,2 ( 0 < p < r < 1 ) Here Ρ is the distance from the center of the circle ...
Sayfa 15
... unit circle . Thus suppose that the integrals of u ( r , Y ) with respect to arclength are known on the family of curves satisfying conditions 1 ° -3 ° : ( 2 ) 2 u ( r , 4 , ) ( r イ аф J dr = v ( o , a ) . ar J = 1 The following ...
... unit circle . Thus suppose that the integrals of u ( r , Y ) with respect to arclength are known on the family of curves satisfying conditions 1 ° -3 ° : ( 2 ) 2 u ( r , 4 , ) ( r イ аф J dr = v ( o , a ) . ar J = 1 The following ...
Sayfa 19
... unit disc bounded by a curve of the family and the unit circle , then by the local convergence of FOURIER series , we can construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean ...
... unit disc bounded by a curve of the family and the unit circle , then by the local convergence of FOURIER series , we can construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean ...
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 |
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