Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
11 sonuçtan 1-3 arası sonuçlar
Sayfa 13
... Family of Curves Invariant to Rotation around the Center of the Circle In this section we shall consider the following problem : A continuous function is defined inside the unit circle and its integrals along a two - parameter family of ...
... Family of Curves Invariant to Rotation around the Center of the Circle In this section we shall consider the following problem : A continuous function is defined inside the unit circle and its integrals along a two - parameter family of ...
Sayfa 14
... family of curves having the following proper- ties : 10. The family is invariant to rotation about the center of the circle . 20. Each curve begins and ends on the unit circle . 3 ° . Each curve consists of two branches whose equations ...
... family of curves having the following proper- ties : 10. The family is invariant to rotation about the center of the circle . 20. Each curve begins and ends on the unit circle . 3 ° . Each curve consists of two branches whose equations ...
Sayfa 17
... family of curves in question , namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) y ( r ) = ų ( r ) = M1v , ( k = 0,1 ...
... family of curves in question , namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) y ( r ) = ų ( r ) = M1v , ( k = 0,1 ...
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 Akad analytic function belong boundary conditions CAUCHY data chapter coefficients consider const continuous function coordinates corresponding cosk Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution expression family of curves following theorem function u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 18 integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inversion formula kernel Lavrentiev linearized inverse problem multidimensional inverse problems Nauk SSSR obtain parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind SM,t solution to equation take FOURIER transforms telegraph equation two-parameter family unique solution uniqueness theorem unit circle variables VOLTERRA equation waves wxxx