Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
3 sonuçtan 1-3 arası sonuçlar
Sayfa
... equation from certain functionals of its solution . Two significant advances have been made previously in the study of inverse problems for differential equations . The first is in inverse problems for STURM - LIOUVILLE equations ( [ 1 ] ...
... equation from certain functionals of its solution . Two significant advances have been made previously in the study of inverse problems for differential equations . The first is in inverse problems for STURM - LIOUVILLE equations ( [ 1 ] ...
Sayfa
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. inverse problem for the STURM - LIOUVILLE equation . This monograph investigates a number of multidimensional inverse problems whose formulations differ from those of the papers mentioned ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. inverse problem for the STURM - LIOUVILLE equation . This monograph investigates a number of multidimensional inverse problems whose formulations differ from those of the papers mentioned ...
Sayfa 32
... Formula ( 3 ) which we have obtained for the coefficient in the telegraph equation has the same type of structure as the formula arising in the spectral version of the one - dimensional inverse STURM - LIOUVILLE problem ( see [ 1 ] and ...
... Formula ( 3 ) which we have obtained for the coefficient in the telegraph equation has the same type of structure as the formula arising in the spectral version of the one - dimensional inverse STURM - LIOUVILLE problem ( see [ 1 ] 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 |
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