Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa 8
... sufficient for the existence of a solution . Indeed , consider for such a v ( p , e ) the series ( 19 ) ∞ [ _ [ MV ]。= 0 cosk ♡ = u ( p , Y ) k = 0 ε = 0 · By virtue of property 2 ° , it is uniformly convergent and defines a ...
... sufficient for the existence of a solution . Indeed , consider for such a v ( p , e ) the series ( 19 ) ∞ [ _ [ MV ]。= 0 cosk ♡ = u ( p , Y ) k = 0 ε = 0 · By virtue of property 2 ° , it is uniformly convergent and defines a ...
Sayfa 21
... sufficient condition for a solution to exist for equation ( 1 ) belonging to the set U is that v ( x , r ) belong to the set V of functions satisfying the following conditions : 1. For each v ( x , r ) EV , the functions Mv ( k = 0,1 ...
... sufficient condition for a solution to exist for equation ( 1 ) belonging to the set U is that v ( x , r ) belong to the set V of functions satisfying the following conditions : 1. For each v ( x , r ) EV , the functions Mv ( k = 0,1 ...
Sayfa 38
... sufficiently large magnitude . On the basis of our remark in Sec . 3 of Chapt . 1 , we can also point out that the method may be used to clarify the local structure of the earth for those regions where there are a sufficiently large ...
... sufficiently large magnitude . On the basis of our remark in Sec . 3 of Chapt . 1 , we can also point out that the method may be used to clarify the local structure of the earth for those regions where there are a sufficiently large ...
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
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 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