Multidimensional Inverse Problems for Differential EquationsM. M. Lavrentiev, Mikhail Mikhailovich Lavrent£ev, Vladimir Gavrilovich Romanov, V. G. Romanov, V. G. Vasiliev Springer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 9
... Introduce spherical coordinates for y and S by the formulas ( 21 ) = Y1 r51 , S = r5n + 1 ' where ( 1 = 1,2 , ... , n + 1 ) ( 1 = 1,2 , ... , n ) are the direction cosines of the radius vector r in ( y , s ) -space . The equation of an ...
... Introduce spherical coordinates for y and S by the formulas ( 21 ) = Y1 r51 , S = r5n + 1 ' where ( 1 = 1,2 , ... , n + 1 ) ( 1 = 1,2 , ... , n ) are the direction cosines of the radius vector r in ( y , s ) -space . The equation of an ...
Sayfa 14
... Introduce polar coordinates ( r , 4 ) 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 ...
... Introduce polar coordinates ( r , 4 ) 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 ...
Sayfa 42
... Introduce the notation | G ( w , x ) | < απ 2.2 + ო 2 2 t = n - y1 p2 = a2x 2.2 + 3 2 , , F1 ( w , t ) = F ( w , t + y 1 ) = F11 ( w , t ) + 1F12 ( w , t ) , ( 10a ) 11 У 1Р Q1 ( w , p ) = e Q ( w , 11 √ p2 - w2 2 ) 12 Q11 ( w , p ) + ...
... Introduce the notation | G ( w , x ) | < απ 2.2 + ო 2 2 t = n - y1 p2 = a2x 2.2 + 3 2 , , F1 ( w , t ) = F ( w , t + y 1 ) = F11 ( w , t ) + 1F12 ( w , t ) , ( 10a ) 11 У 1Р Q1 ( w , p ) = e Q ( w , 11 √ p2 - w2 2 ) 12 Q11 ( w , p ) + ...
İçindekiler
Generalization to Analytic Curves | 10 |
On the Problem of Determining a Function from Its Mean | 19 |
Two Formulations of the Linearized Inverse Problem | 28 |
Telif Hakkı | |
2 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 Akad belong boundary conditions CAUCHY data chapter coefficients consider const continuous function corresponding cosy Denote derive determining a function differential equation Dokl 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 HÖLDER condition hyperplane inequality 18 integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inversion formula kernel linearized inverse problem mean values multidimensional inverse problems Nauk SSSR obtain operator L defined parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind solution to equation STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx