Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
25 sonuçtan 1-5 arası sonuçlar
Sayfa
... Determining a Function from Integrals over Ellipsoids of Revolution 2. Generalization to Analytic Curves 2 10 3. Problem of Determining a Function inside a Circle from Integrals along a Family of Curves Invariant to Rotation about the ...
... Determining a Function from Integrals over Ellipsoids of Revolution 2. Generalization to Analytic Curves 2 10 3. Problem of Determining a Function inside a Circle from Integrals along a Family of Curves Invariant to Rotation about the ...
Sayfa
... equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from ... function of the operator . In [ 19 ] and [ 2 ] , a number of problems invol- ving the determination of the ...
... equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from ... function of the operator . In [ 19 ] and [ 2 ] , a number of problems invol- ving the determination of the ...
Sayfa 1
... determination of a function defined in a domain through its integrals along a family of curves in the domain . One of the earliest and most familiar versions of such problems is the determination of a continuous function of n ...
... determination of a function defined in a domain through its integrals along a family of curves in the domain . One of the earliest and most familiar versions of such problems is the determination of a continuous function of n ...
Sayfa 2
... function of n variables from its inte- grals over ellipsoids of revolution . In Section 2 the results of Section 1 are generalized to curves of a more general nature a ... Determining a Function from Integrals over Ellipsoids of Revolution.
... function of n variables from its inte- grals over ellipsoids of revolution . In Section 2 the results of Section 1 are generalized to curves of a more general nature a ... Determining a Function from Integrals over Ellipsoids of Revolution.
Sayfa 5
... 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 functions u ...
... 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 functions u ...
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