Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 14
... unit circle . 3 ° . Each curve consists of two branches whose equations are expressible in the form ( 1 ) = α · ( -1 ) 3 4g ( r , p ) √r - p > J = 1,2 ( O < p < r < 1 ) Here ρ is the distance from the center of the circle to the point ...
... unit circle . 3 ° . Each curve consists of two branches whose equations are expressible in the form ( 1 ) = α · ( -1 ) 3 4g ( r , p ) √r - p > J = 1,2 ( O < p < r < 1 ) Here ρ is the distance from the center of the circle to the point ...
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 1o - 3 ° : ( 2 ) 1 Σ J = 1 u ( r , Og ) √1 + ( r イ 24 dr = v ( p , a ) • ar P 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 1o - 3 ° : ( 2 ) 1 Σ J = 1 u ( r , Og ) √1 + ( r イ 24 dr = v ( p , a ) • ar P 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 ...
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 Akad analytic function belong boundary conditions CAUCHY data chapter coefficients consider const continuous function coordinates corresponding cosk Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution 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 Lavrentiev linearized inverse problem multidimensional inverse problems Nauk SSSR obtain parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind SM,t solution to equation take FOURIER transforms telegraph equation two-parameter family unique solution uniqueness theorem unit circle variables VOLTERRA equation waves wxxx