Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 15
... respect to P are additional restrictions on the density with which the curves of the family cover the unit circle . Thus suppose that the integrals of u ( r , Y ) with respect to arclength are known on the family of curves satisfying ...
... respect to P are additional restrictions on the density with which the curves of the family cover the unit circle . Thus suppose that the integrals of u ( r , Y ) with respect to arclength are known on the family of curves satisfying ...
Sayfa 41
... respect to X and using the relation ( see [ 7 ] ) ( 7 ) $ x , [ ble2 ++ 2 ) $ 1.00 K2 [ b ( c2 + t cos ut dt = π 2√b + u 2. 2 + u 2 we obtain with ( 7a ) ( 7b ) = a n - y + w 00 + w2 - e - In + y 1 | √ a 2x2 + w g ( x , 1 ) e - iwx ...
... respect to X and using the relation ( see [ 7 ] ) ( 7 ) $ x , [ ble2 ++ 2 ) $ 1.00 K2 [ b ( c2 + t cos ut dt = π 2√b + u 2. 2 + u 2 we obtain with ( 7a ) ( 7b ) = a n - y + w 00 + w2 - e - In + y 1 | √ a 2x2 + w g ( x , 1 ) e - iwx ...
Sayfa 44
... respect to x , we wind up with 1 √ a 2x2 + w2 G ( w2 x ) 2 2.2 αλ π ∞ 2.2 2 + w ( 17 ) e F ( w , n ) dn = G ( w , λ ) = g ( x , λ ) e Introduce the notation p2 2,2 = a2x2 + w2 , ( 17a ) • ( p , w ) = π 1 pG ( w , 2 р 3- a -iwxax • 2 ...
... respect to x , we wind up with 1 √ a 2x2 + w2 G ( w2 x ) 2 2.2 αλ π ∞ 2.2 2 + w ( 17 ) e F ( w , n ) dn = G ( w , λ ) = g ( x , λ ) e Introduce the notation p2 2,2 = a2x2 + w2 , ( 17a ) • ( p , w ) = π 1 pG ( w , 2 р 3- a -iwxax • 2 ...
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 analytic function belong boundary conditions CAUCHY data chapter coefficients consider const continuous function coordinates corresponding cosk Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution 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 Lavrentiev linearized inverse problem multidimensional inverse problems Nauk SSSR obtain parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind SM,t solution to equation take FOURIER transforms telegraph equation two-parameter family unique solution uniqueness theorem unit circle variables VOLTERRA equation waves wxxx