Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 12
... bounded . But since for -λ p → 00 if C 0 , we can assert that λ < 0 , Cp tends to infinity as any bounded solution to ( 9 ) is unique . If we apply L to equation ( 3 ) k times in succession , we let Ε tend to zero and we divide by the ...
... bounded . But since for -λ p → 00 if C 0 , we can assert that λ < 0 , Cp tends to infinity as any bounded solution to ( 9 ) is unique . If we apply L to equation ( 3 ) k times in succession , we let Ε tend to zero and we divide by the ...
Sayfa 19
... bounded by a curve of the family and the unit circle , then by the local convergence of FOURIER series , we can construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean Values over ...
... bounded by a curve of the family and the unit circle , then by the local convergence of FOURIER series , we can construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean Values over ...
Sayfa 42
... bounded since 12 f ( 5 , n ) € L , ( D ) . Hence it follows that each of the equations in ( 11 ) has just one solution and it may be expressed by the formula [ 26 ] : 1 n ( 12 ) F11 ( w , z ) = lim a ( -1 ) ^ ( 2 ) +1 n Q11 ( w , 7 ) ap ...
... bounded since 12 f ( 5 , n ) € L , ( D ) . Hence it follows that each of the equations in ( 11 ) has just one solution and it may be expressed by the formula [ 26 ] : 1 n ( 12 ) F11 ( w , z ) = lim a ( -1 ) ^ ( 2 ) +1 n Q11 ( w , 7 ) ap ...
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