Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
48 sonuçtan 1-3 arası sonuçlar
Sayfa
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. INTRODUCTION An inverse problem for a differential equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from certain ...
M. M. Lavrentiev, V. G. Romanov, V. G. Vasiliev. INTRODUCTION An inverse problem for a differential equation is any problem involving the determination of the coefficients or right - hand side of a differen- tial equation from certain ...
Sayfa 12
... equation for v1 ( p , 0 ) . Apply L to ( 3 ) and use formula ( 7 ) for Lv . This results in Lv ( 8 ) = ∞ do d ( ε ) v ( p , ε ) + [ [ ¢ k - 1d ( e ) Vk ( P‚¤ ) + l ( ε ) O ... equation to a differential equation with constant co- - 12 -
... equation for v1 ( p , 0 ) . Apply L to ( 3 ) and use formula ( 7 ) for Lv . This results in Lv ( 8 ) = ∞ do d ( ε ) v ( p , ε ) + [ [ ¢ k - 1d ( e ) Vk ( P‚¤ ) + l ( ε ) O ... equation to a differential equation with constant co- - 12 -
Sayfa 43
... equation ( 2 ) has at most one solution . 2 ° - Second inverse problem : We reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ...
... equation ( 2 ) has at most one solution . 2 ° - Second inverse problem : We reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ...
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