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
36 sonuçtan 1-3 arası sonuçlar
Sayfa 13
... solution the VOLTERRA equation to a differential equation with constant co- efficients that there are at most k each of which tends to infinity as of the integral equation is unique . Thus all of the functions ( p , 0 ) ( k = 0,1,2 ...
... solution the VOLTERRA equation to a differential equation with constant co- efficients that there are at most k each of which tends to infinity as of the integral equation is unique . Thus all of the functions ( p , 0 ) ( k = 0,1,2 ...
Sayfa 23
... equation ( 1 ) under conditions ( 2 ) and ( 3 ) , we shall mean a generalized solution of the equation regular at infinity . If a ( M ) is given , then determining the function u ( M , M , t ) is called the direct problem for equation ...
... equation ( 1 ) under conditions ( 2 ) and ( 3 ) , we shall mean a generalized solution of the equation regular at infinity . If a ( M ) is given , then determining the function u ( M , M , t ) is called the direct problem for equation ...
Sayfa 43
... equation ( 2 ) has at most one solution . 2o- Second inverse problem : We reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ...
... equation ( 2 ) has at most one solution . 2o- Second inverse problem : We reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ...
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