Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
8 sonuçtan 1-5 arası sonuçlar
Sayfa 1
... . Section 1 considers the problem of reconstructing a two - dimensional function from its integrals over a family of ellipses with one focus 2 fixed and the other running over the points of CHAPTER Some Problems of Integral Geometry.
... . Section 1 considers the problem of reconstructing a two - dimensional function from its integrals over a family of ellipses with one focus 2 fixed and the other running over the points of CHAPTER Some Problems of Integral Geometry.
Sayfa 2
... ellipses . The formulation of the integral - geometric problem is also generalized by the introduction of a weight ... ellipse around the line joining the two foci are to be considered . It is required to determine integrals . Denote the ...
... ellipses . The formulation of the integral - geometric problem is also generalized by the introduction of a weight ... ellipse around the line joining the two foci are to be considered . It is required to determine integrals . Denote the ...
Sayfa 3
... ellipses and the solid angle will be the polar angle d . At the conclusion of the section , we show how the ... ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where p and ξ are parameters characterizing the polar distance and ...
... ellipses and the solid angle will be the polar angle d . At the conclusion of the section , we show how the ... ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where p and ξ are parameters characterizing the polar distance and ...
Sayfa 5
... ellipses of eccentricity 0 ≤ € < 1 falling inside the circle . It is required to determine a function u ( r , Y ) € U from its integrals over this family of ellipses . Let v ( p , € ) be a function for which a solution to ( 5 ) exists ...
... ellipses of eccentricity 0 ≤ € < 1 falling inside the circle . It is required to determine a function u ( r , Y ) € U from its integrals over this family of ellipses . Let v ( p , € ) be a function for which a solution to ( 5 ) exists ...
Sayfa 6
Bu kitap için görüntüleme sınırınıza ulaştınız.
Bu kitap için görüntüleme sınırınıza ulaştınız.
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 |
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