Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 26
... kind . To answer the question as to whether it is reducible to an equation of second kind , we must ascertain the behavior of its kernel as nn ( t ) . We shall now do this . Using ( 10 ) and ( 14 ) , we can easily deduce the following ...
... kind . To answer the question as to whether it is reducible to an equation of second kind , we must ascertain the behavior of its kernel as nn ( t ) . We shall now do this . Using ( 10 ) and ( 14 ) , we can easily deduce the following ...
Sayfa 43
... Second inverse problem : We reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of ... second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ∞ x ...
... Second inverse problem : We reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of ... second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ∞ x ...
Sayfa 51
... Second - Order Elliptic Equations be a function satisfying the differential equation AV = ( a + b ) v , a ( P ) > 0 ... kind is defined as the fundamental solution of equation ( 1 ) vanishing on the boundary S of domain D. The GREEN'S ...
... Second - Order Elliptic Equations be a function satisfying the differential equation AV = ( a + b ) v , a ( P ) > 0 ... kind is defined as the fundamental solution of equation ( 1 ) vanishing on the boundary S of domain D. The GREEN'S ...
İçindekiler
CHAPTER | 1 |
Problem of Determining a Function inside a Circle from | 13 |
On the Problem of Determining a Function from Its Mean | 19 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
absolutely integrable functions analytic function arbitrary belong boundary conditions CAUCHY data chapter consider const 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 u(r fundamental solution given GREEN'S function half-plane half-space HOLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inverse problem inversion formula kernel L₁ linearized inverse problem M₁ mean values multidimensional inverse problems n₁ obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₁ R₂ relations right-hand side second kind SM,t solution to equation 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 waves wxxx θε ду эф