Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
11 sonuçtan 1-3 arası sonuçlar
Sayfa 6
... hence we can find its integrals along all ellipses lying in this disc . This means that if we prescribe the function v ( p , ε ) in an arbitrarily small strip δ we determine it completely for δ Σε < 1. This implies in turn that to any ...
... hence we can find its integrals along all ellipses lying in this disc . This means that if we prescribe the function v ( p , ε ) in an arbitrarily small strip δ we determine it completely for δ Σε < 1. This implies in turn that to any ...
Sayfa 13
... Hence any bounded solution of the integral equation is unique . Thus all of the functions ( p , 0 ) k ( k = 0,1,2 , ... ) can be found in a unique way . This implies the unique- ness of a solution to equation ( 2 ) . An inversion ...
... Hence any bounded solution of the integral equation is unique . Thus all of the functions ( p , 0 ) k ( k = 0,1,2 , ... ) can be found in a unique way . This implies the unique- ness of a solution to equation ( 2 ) . An inversion ...
Sayfa 42
... 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 ( 1 = 1,2 ) . n + ∞ n ! Further , it is ...
... 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 ( 1 = 1,2 ) . n + ∞ n ! Further , it is ...
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