Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
12 sonuçtan 1-3 arası sonuçlar
Sayfa 10
... following moments for ( 246 ) 11 12 • X2 X1 Su ( x , s ) x11.x2 ... λη dw , Xn u ( x , s ) : So , t = 0,1,2 , ... ) , ( 1 = 1,2 , ... , n ) 1 where ... following theorem holds . Theorem 4 : If equation · 10 Generalization to Analytic Curves.
... following moments for ( 246 ) 11 12 • X2 X1 Su ( x , s ) x11.x2 ... λη dw , Xn u ( x , s ) : So , t = 0,1,2 , ... ) , ( 1 = 1,2 , ... , n ) 1 where ... following theorem holds . Theorem 4 : If equation · 10 Generalization to Analytic Curves.
Sayfa 19
... following theorem : Theorem 7 : A necessary and sufficient condition for a solution to exist to equation ( 2 ) belonging to U is that v ( p , a ) belong to V. Remark . We have considered the case where the entire unit disc is covered by ...
... following theorem : Theorem 7 : A necessary and sufficient condition for a solution to exist to equation ( 2 ) belonging to U is that v ( p , a ) belong to V. Remark . We have considered the case where the entire unit disc is covered by ...
Sayfa 34
... following theorem holds : Theorem 11 : The function ( x 1 x 0 ) T can be represented to within in- 1 19 finitesimals of order n 2 by ( 7 ) T1 ( x1 + x0 ) = S n1 ( x , y ) ds ro ( x 1 , x 0 ) 1 ' x ) where ro ( x , x ) is the curve of ...
... following theorem holds : Theorem 11 : The function ( x 1 x 0 ) T can be represented to within in- 1 19 finitesimals of order n 2 by ( 7 ) T1 ( x1 + x0 ) = S n1 ( x , y ) ds ro ( x 1 , x 0 ) 1 ' x ) where ro ( x , x ) is the curve of ...
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