Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
24 sonuçtan 1-3 arası sonuçlar
Sayfa 10
... given in polar r = pf ( e , cos ) , € and n in an arbitrary f ( 0,0 ) # 0 and where f ( e , n ) is an analytic function of small neighborhood of the origin such that д f ( 0,0 ) # 0. Let the integrals an ( 2 ) S Soc Ρ , ε • ( ε , ε cos ) ...
... given in polar r = pf ( e , cos ) , € and n in an arbitrary f ( 0,0 ) # 0 and where f ( e , n ) is an analytic function of small neighborhood of the origin such that д f ( 0,0 ) # 0. Let the integrals an ( 2 ) S Soc Ρ , ε • ( ε , ε cos ) ...
Sayfa 13
... given by equation ( 4 ) of Sec.1 , we have ( 10a ) s ( 1 - e cos ) u ( r , ) a = 0 Sp , ε AK for any p and 0 ≤ € < 1. But this means that equation ( 2 ) has corres- ponding to the function v ( p , ɛ ) = 0 not only the trivial solution ...
... given by equation ( 4 ) of Sec.1 , we have ( 10a ) s ( 1 - e cos ) u ( r , ) a = 0 Sp , ε AK for any p and 0 ≤ € < 1. But this means that equation ( 2 ) has corres- ponding to the function v ( p , ɛ ) = 0 not only the trivial solution ...
Sayfa 28
... given by ( 1 ) = s ( t - r ( M , M ) ) u ( M , M , t ) 2π r ( M , M ) In this formula r ( M , M ) is the distance between the points M and Mo. The solution to equation ( 9 ) of Sec . 1 under corresponding initial and boundary conditions ...
... given by ( 1 ) = s ( t - r ( M , M ) ) u ( M , M , t ) 2π r ( M , M ) In this formula r ( M , M ) is the distance between the points M and Mo. The solution to equation ( 9 ) of Sec . 1 under corresponding initial and boundary conditions ...
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