Multidimensional Inverse Problems for Differential EquationsM. M. Lavrentiev, Mikhail Mikhailovich Lavrent£ev, Vladimir Gavrilovich Romanov, V. G. Romanov, V. G. Vasiliev Springer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
19 sonuçtan 1-3 arası sonuçlar
Sayfa 13
... continuous function is defined inside the unit circle and its integrals along a two - parameter family of curves are given . As before two questions are of ... function is unique - - 13 Problem of Determining a Function inside a Circle from.
... continuous function is defined inside the unit circle and its integrals along a two - parameter family of curves are given . As before two questions are of ... function is unique - - 13 Problem of Determining a Function inside a Circle from.
Sayfa 17
... continuous function of S in D together with r - s ( r , s ) . In addition , ( 10a ) ак Q ( s , s ) = TSV ( S , S ) 1 • r and Differentiating equation ( 8 ) with respect to s and then dividing both sides of the equation by Q ( s , s ) ...
... continuous function of S in D together with r - s ( r , s ) . In addition , ( 10a ) ак Q ( s , s ) = TSV ( S , S ) 1 • r and Differentiating equation ( 8 ) with respect to s and then dividing both sides of the equation by Q ( s , s ) ...
Sayfa 23
... function in the domain Z Σ 0. Throughout the following we shall assume that f ( M , M , t ) is a function of the ... continuous function a ( M ) knowing the value tat z = 0 of the solution to equation ( 1 ) under conditions ( 2 ) and ( 3 ) ...
... function in the domain Z Σ 0. Throughout the following we shall assume that f ( M , M , t ) is a function of the ... continuous function a ( M ) knowing the value tat z = 0 of the solution to equation ( 1 ) under conditions ( 2 ) and ( 3 ) ...
İçindekiler
Generalization to Analytic Curves | 10 |
On the Problem of Determining a Function from Its Mean | 19 |
Two Formulations of the Linearized Inverse Problem | 28 |
Telif Hakkı | |
2 diğer bölüm gösterilmiyor
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 belong boundary conditions CAUCHY data chapter coefficients consider const continuous function corresponding cosy Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution exists 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 linearized inverse problem mean values multidimensional inverse problems Nauk SSSR obtain operator L defined parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind solution to equation STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx