Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
12 sonuçtan 1-3 arası sonuçlar
Sayfa 27
... easy to deduce that ( 18a ) R ( s , s ) = 1 As a result , we arrive at the following VOLTERRA equation of second kind ( 19 ) $ a ( s ) + a ( n ) = R ( s , n ) àn = 14 . The kernel of this equation is continuous everywhere with the - 27 -
... easy to deduce that ( 18a ) R ( s , s ) = 1 As a result , we arrive at the following VOLTERRA equation of second kind ( 19 ) $ a ( s ) + a ( n ) = R ( s , n ) àn = 14 . The kernel of this equation is continuous everywhere with the - 27 -
Sayfa 32
... arrive at the following nonlinear differential equation with shifted argument : 2 a u1 ( 4 ) = 2 su1 + at a [ r ( M , M ) u1 ( M , M , r ( M , M ) ) ] . ǝr ( MM ) If this equation should be solvable under the initial conditions ( 5 ) ...
... arrive at the following nonlinear differential equation with shifted argument : 2 a u1 ( 4 ) = 2 su1 + at a [ r ( M , M ) u1 ( M , M , r ( M , M ) ) ] . ǝr ( MM ) If this equation should be solvable under the initial conditions ( 5 ) ...
Sayfa 48
... arrive at the conclusion that the solution to the inverse problem ( 1 ) , ( 2 ) is unique in the class of summable functions . 2 ° - Second inverse problem : Consider the inverse problem ( 1 ) and ( 2 ) but with the condition ( 12a ) ...
... arrive at the conclusion that the solution to the inverse problem ( 1 ) , ( 2 ) is unique in the class of summable functions . 2 ° - Second inverse problem : Consider the inverse problem ( 1 ) and ( 2 ) but with the condition ( 12a ) ...
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