Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 4
... ( 4 ) exists , it is unique . We next consider how relations ( 8 ) may be used to express the function u ( x , s ) explicitly in terms of v ( p , e ) . At the same time , we shall study the properties needed by v ( p , c ) - 4-
... ( 4 ) exists , it is unique . We next consider how relations ( 8 ) may be used to express the function u ( x , s ) explicitly in terms of v ( p , e ) . At the same time , we shall study the properties needed by v ( p , c ) - 4-
Sayfa 7
... properties are possessed by V , the image of the set U under the correspondence definable by ( 5 ) . Theorem 2 : The image V of U under ( 5 ) has the following properties : 1o . The functions Mv ( k = 0,1,2 , ... ) corresponding to a by ...
... properties are possessed by V , the image of the set U under the correspondence definable by ( 5 ) . Theorem 2 : The image V of U under ( 5 ) has the following properties : 1o . The functions Mv ( k = 0,1,2 , ... ) corresponding to a by ...
Sayfa 17
... properties the functions v ( p , a ) must have as images of the functions u ( r , ) under the mapping defined by ( 2 ) . As before , we make a slight contraction in the class of continuous functions . Namely , we consider functions u ...
... properties the functions v ( p , a ) must have as images of the functions u ( r , ) under the mapping defined by ( 2 ) . As before , we make a slight contraction in the class of continuous functions . Namely , we consider functions u ...
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