Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
23 sonuçtan 1-3 arası sonuçlar
Sayfa 13
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. the VOLTERRA equation to a differential equation ... continuous function is defined inside the unit circle and its integrals ... function is unique - 13 - Problem of Determining a Function inside ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. the VOLTERRA equation to a differential equation ... continuous function is defined inside the unit circle and its integrals ... function is unique - 13 - Problem of Determining a Function inside ...
Sayfa 17
... continuous function of r and a r - s ( r , s ) . In addition , = ask Qx ( s , s ) TSV ( S , S ) . Differentiating equation ( 8 ) with respect to sides of the equation by Q ( s , s ) , we obtain ( 11 ) where ( 12 ) 1 S and then dividing ...
... continuous function of r and a r - s ( r , s ) . In addition , = ask Qx ( s , s ) TSV ( S , S ) . Differentiating equation ( 8 ) with respect to sides of the equation by Q ( s , s ) , we obtain ( 11 ) where ( 12 ) 1 S and then dividing ...
Sayfa 23
... function in the domain z0 . Throughout the following we shall assume that where ( 4 ) f ( M , M。, t ) is a function ... continuous function a ( M ) knowing the value at Z = 0 of the solution to equation ( 1 ) under conditions ( 2 ) and ...
... function in the domain z0 . Throughout the following we shall assume that where ( 4 ) f ( M , M。, t ) is a function ... continuous function a ( M ) knowing the value at Z = 0 of the solution to equation ( 1 ) under conditions ( 2 ) and ...
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