Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 8
... sufficient for the existence of a solution . Indeed , consider for such a v ( p , c ) the series ( 19 ) ∞ Σ [ Mkv ] = o cosk❤ = u ( p , Y ) k = 0 ε = 0 By virtue of property 2 ° , it is uniformly convergent and defines a continuous ...
... sufficient for the existence of a solution . Indeed , consider for such a v ( p , c ) the series ( 19 ) ∞ Σ [ Mkv ] = o cosk❤ = u ( p , Y ) k = 0 ε = 0 By virtue of property 2 ° , it is uniformly convergent and defines a continuous ...
Sayfa 18
... sufficient condition for a solution to exist for equation ( 2 ) . Indeed , suppose vЄV . From it , construct the series ( 18a ) By conditions ∞ [ ( M x V ) ei k k = -∞ 1 ° and 2o the series converges to a continuous ' k ' function u ...
... sufficient condition for a solution to exist for equation ( 2 ) . Indeed , suppose vЄV . From it , construct the series ( 18a ) By conditions ∞ [ ( M x V ) ei k k = -∞ 1 ° and 2o the series converges to a continuous ' k ' function u ...
Sayfa 19
... sufficient condition for a solution to exist to equation ( 2 ) belonging to U is that v ( p , a ) belong to V. Remark . We have considered the case where the entire unit disc is covered by curves satisfying conditions 10-30 . If we ...
... sufficient condition for a solution to exist to equation ( 2 ) belonging to U is that v ( p , a ) belong to V. Remark . We have considered the case where the entire unit disc is covered by curves satisfying conditions 10-30 . If we ...
Diğer baskılar - Tümünü görüntüle
Multidimensional Inverse Problems for Differential Equations M. M. Lavrentiev,V. G. Romanov,V. G. Vasiliev Metin Parçacığı görünümü - 1970 |
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