Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
11 sonuçtan 1-3 arası sonuçlar
Sayfa 6
... arbitrarily small strip δ we determine it completely for δ Σε < 1. This implies in turn that to any arbitrary continuous function there exists no solution to the stated problem . This result relates to the fact that the given problem is ...
... arbitrarily small strip δ we determine it completely for δ Σε < 1. This implies in turn that to any arbitrary continuous function there exists no solution to the stated problem . This result relates to the fact that the given problem is ...
Sayfa 9
... ( 24 ) S u ( rQ • E ) y kaw = Sp , q , ε Lkv ( k = 0,1,2 , ... ) • Note that by virtue of the orthogonality of the transformation , ( 24a ) 11 y1 = x1 x1 + + ... O X. X nn Since ( x0,0 ) is an arbitrary point of the - 9 -
... ( 24 ) S u ( rQ • E ) y kaw = Sp , q , ε Lkv ( k = 0,1,2 , ... ) • Note that by virtue of the orthogonality of the transformation , ( 24a ) 11 y1 = x1 x1 + + ... O X. X nn Since ( x0,0 ) is an arbitrary point of the - 9 -
Sayfa 10
... arbitrary point of the hyperplane S = 0 , by taking the invariance of dw into consideration , one ( 24 ) for ε = 0 to derive the following moments for ( 246 ) where So , t λ1 12 ... Su ( x , s ) x 11.x2 So , t is a sphere of radius t λη ...
... arbitrary point of the hyperplane S = 0 , by taking the invariance of dw into consideration , one ( 24 ) for ε = 0 to derive the following moments for ( 246 ) where So , t λ1 12 ... Su ( x , s ) x 11.x2 So , t is a sphere of radius t λη ...
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