Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
6 sonuçtan 1-3 arası sonuçlar
Sayfa 3
... coordinates related to the cartesian coordinates ( x , s ) by the formulas u ( x , s ) . ( r , c ) ( 3 ) x = r COSY S = r Sin · The equation of an ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where р and ૬ are parameters ...
... coordinates related to the cartesian coordinates ( x , s ) by the formulas u ( x , s ) . ( r , c ) ( 3 ) x = r COSY S = r Sin · The equation of an ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where р and ૬ are parameters ...
Sayfa 14
... coordinates ( r , ) with the pole situated at the center of the circle . Consider a two - parameter family of curves having the following proper- ties : 10. The family is invariant to rotation about the center of the circle . 2o . Each ...
... coordinates ( r , ) with the pole situated at the center of the circle . Consider a two - parameter family of curves having the following proper- ties : 10. The family is invariant to rotation about the center of the circle . 2o . Each ...
Sayfa 37
... coordinates . And so the propagation velocities of disturbances should therefore also depend on these coordinates . This is confirmed by the fact that systematic deviations from the average hodographs have been observed for the travel ...
... coordinates . And so the propagation velocities of disturbances should therefore also depend on these coordinates . This is confirmed by the fact that systematic deviations from the average hodographs have been observed for the travel ...
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