Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
39 sonuçtan 1-5 arası sonuçlar
Sayfa
... equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from certain functionals of its solution . Two significant advances have been made previously in the study of ...
... equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from certain functionals of its solution . Two significant advances have been made previously in the study of ...
Sayfa
... equation . This monograph investigates a number of multidimensional inverse ... solution is reduced to the solution of first - order linear operator ... equation with the help of the results of Chapter 1 while Chapter 3 does the same ...
... equation . This monograph investigates a number of multidimensional inverse ... solution is reduced to the solution of first - order linear operator ... equation with the help of the results of Chapter 1 while Chapter 3 does the same ...
Sayfa 3
... solution to this problem in the class of even functions of S and this we ... equation ( 2 ) has a solution belonging to C satisfying a Hölder condition ... equation of an ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where p ...
... solution to this problem in the class of even functions of S and this we ... equation ( 2 ) has a solution belonging to C satisfying a Hölder condition ... equation of an ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where p ...
Sayfa 4
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. > When equation ( 5 ) has a solution in C both its legitimacy and the result of applying it are substantiated by the following sequence of equations : ( 6a ) Lv = p δε = p მ де 2π 2π 2π ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. > When equation ( 5 ) has a solution in C both its legitimacy and the result of applying it are substantiated by the following sequence of equations : ( 6a ) Lv = p δε = p მ де 2π 2π 2π ...
Sayfa 5
... solution to equation ( 5 ) . At this juncture , we shall slightly contract the class of functions for which we have proved the uniqueness of the reconstruc- ted function from its integrals over ellipses . Namely , we shall con- sider ...
... solution to equation ( 5 ) . At this juncture , we shall slightly contract the class of functions for which we have proved the uniqueness of the reconstruc- ted function from its integrals over ellipses . Namely , we shall con- sider ...
İçindekiler
1 | |
Linearized Inverse Dynamic Problem for the Telegraph | 22 |
Derivation of a Nonlinear Differential Equation for | 31 |
CHAPTER 4 | 39 |
CHAPTER 5 | 52 |
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 analytic function belong boundary conditions CAUCHY data chapter consider const construct continuous function corresponding Denote derive determining a function differential equation domain earth's ellipses ellipsoid of revolution exists expression family of curves following theorem function f(x,y functions u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation Inverse Kinematic Inverse Kinematic Problem inversion formula kernel L₁(D linearized inverse problem M₁ mean values multidimensional inverse problems obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₂ relations right-hand side second kind sense of HADAMARD SM,t solution to equation space STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family u₁ M,M,t unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation ду