Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 17
... namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) y ( r ) = ų ( r ) = M1v , ( k = 0,1,2 , ... ) wherein the Mx are ...
... namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) y ( r ) = ų ( r ) = M1v , ( k = 0,1,2 , ... ) wherein the Mx are ...
Sayfa 40
... ( 5 , n ) , namely 00 } ƒ [ K。{ a } R } } = X。( a \ Rq ) ] f ( ¢ ̧n } d ¢¢ n = g ( x , \ } , ( aR ) K dedn - O R2 = [ ( x − c ) 2 + ( n = y ̧ ) 2j } ; #q = [ ( x = c ) 2 + ( n + y , ) ? y ?, R3 ( 6 ) 2 8 ( x , 1 ) = √ [ ...
... ( 5 , n ) , namely 00 } ƒ [ K。{ a } R } } = X。( a \ Rq ) ] f ( ¢ ̧n } d ¢¢ n = g ( x , \ } , ( aR ) K dedn - O R2 = [ ( x − c ) 2 + ( n = y ̧ ) 2j } ; #q = [ ( x = c ) 2 + ( n + y , ) ? y ?, R3 ( 6 ) 2 8 ( x , 1 ) = √ [ ...
Sayfa 42
... namely , ( 11 ) 11 F1 ( w , t ) e - pt dt = Q11 ( w , p ) ( 1 = 1,2 ) . The functions F 11 and F are clearly continuous and bounded since 12 f ( 5 , n ) € L , ( D ) . Hence it follows that each of the equations in ( 11 ) has just one ...
... namely , ( 11 ) 11 F1 ( w , t ) e - pt dt = Q11 ( w , p ) ( 1 = 1,2 ) . The functions F 11 and F are clearly continuous and bounded since 12 f ( 5 , n ) € L , ( D ) . Hence it follows that each of the equations in ( 11 ) has just one ...
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