Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
49 sonuçtan 1-5 arası sonuçlar
Sayfa
... Problem of 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 ... problem for a differential equation is any.
... Problem of 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 ... problem for a differential equation is any.
Sayfa
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. INTRODUCTION An inverse problem for a differential equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from certain ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. INTRODUCTION An inverse problem for a differential equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from certain ...
Sayfa
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. inverse problem for the STURM - LIOUVILLE equation . This monograph investigates a number of multidimensional inverse problems whose formulations differ from those of the papers mentioned ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. inverse problem for the STURM - LIOUVILLE equation . This monograph investigates a number of multidimensional inverse problems whose formulations differ from those of the papers mentioned ...
Sayfa 3
... question of uniqueness of a solution to this problem in the class of even functions of S and this we shall do in the following . In addition , there is obviously no loss of generality in assuming that u ( 0,0 ) = 0. To simplify the ...
... question of uniqueness of a solution to this problem in the class of even functions of S and this we shall do in the following . In addition , there is obviously no loss of generality in assuming that u ( 0,0 ) = 0. To simplify the ...
Sayfa 4
... formula ( 4 ) when calculating an ellipse with parameters p and ε r . P , E Sp , denotes Applying the operator L repeatedly to the resultant equation ( 7 ) s u ( x , s ) xd Lv = S P , ε and denoting by Lk the k - fold iteration of L ...
... formula ( 4 ) when calculating an ellipse with parameters p and ε r . P , E Sp , denotes Applying the operator L repeatedly to the resultant equation ( 7 ) s u ( x , s ) xd Lv = S P , ε and denoting by Lk the k - fold iteration of L ...
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