Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
18 sonuçtan 1-3 arası sonuçlar
Sayfa 11
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. The following theorem holds . Theorem 4 : If equation ( 2 ) has a solution that is bounded everywhere , belongs to C and satisfies a HOLDER condition at the origin , then it is unique ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. The following theorem holds . Theorem 4 : If equation ( 2 ) has a solution that is bounded everywhere , belongs to C and satisfies a HOLDER condition at the origin , then it is unique ...
Sayfa 19
... Theorem 5 , it is unique . Collecting the above results , we arrive at the following theorem : Theorem 7 : A necessary and sufficient condition for a solution to exist to equation ( 2 ) belonging to U is that v ( p , a ) belong to V ...
... Theorem 5 , it is unique . Collecting the above results , we arrive at the following theorem : Theorem 7 : A necessary and sufficient condition for a solution to exist to equation ( 2 ) belonging to U is that v ( p , a ) belong to V ...
Sayfa 21
... theorem in terms of the functions My V as was done previously . Theorem 8 : A necessary and 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 ...
... theorem in terms of the functions My V as was done previously . Theorem 8 : A necessary and 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 ...
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