Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
6 sonuçtan 1-3 arası sonuçlar
Sayfa 12
... tends to infinity as p → ∞0 if CO , we can assert that any bounded solution to ( 9 ) is unique . If we apply L to equation ( 3 ) k times in succession , we let Ε tend to zero and we divide by the non - zero coefficient a 。( 0 ) ck ...
... tends to infinity as p → ∞0 if CO , we can assert that any bounded solution to ( 9 ) is unique . If we apply L to equation ( 3 ) k times in succession , we let Ε tend to zero and we divide by the non - zero coefficient a 。( 0 ) ck ...
Sayfa 23
... at and conditions similar to ( 2 ) and ( 3 ) . If a ( M ) is allowed to decrease indefinitely in this equation , its solution u1 ( M , M , t ) will obviously tend to zero . Taking this into consideration , we · - 23 -
... at and conditions similar to ( 2 ) and ( 3 ) . If a ( M ) is allowed to decrease indefinitely in this equation , its solution u1 ( M , M , t ) will obviously tend to zero . Taking this into consideration , we · - 23 -
Sayfa 25
... tend to tend to ( x1,0 ) in formula ( 6 ) . This results in the following integral equation of the first kind for the function a ( y ) : ( 7 ) 4 ( t ) = 212 - Siss a ( n ) u ( 5 , n , t ) dedn O ατ O r1st - T ; -T ) -r1 ( r1 = √ ( x1 ...
... tend to tend to ( x1,0 ) in formula ( 6 ) . This results in the following integral equation of the first kind for the function a ( y ) : ( 7 ) 4 ( t ) = 212 - Siss a ( n ) u ( 5 , n , t ) dedn O ατ O r1st - T ; -T ) -r1 ( r1 = √ ( x1 ...
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 |
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