Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
27 sonuçtan 1-3 arası sonuçlar
Sayfa 5
... u ( r , ) is a continuous function of its arguments in the and u ( 0 , Ф ) = 0. Here ro is an , disc r≤ro it is even in arbitrary positive number . 20. In a neighborhood of the polar origin , u ( r , ) satisfies a HOLDER condition , ( 9 ) ...
... u ( r , ) is a continuous function of its arguments in the and u ( 0 , Ф ) = 0. Here ro is an , disc r≤ro it is even in arbitrary positive number . 20. In a neighborhood of the polar origin , u ( r , ) satisfies a HOLDER condition , ( 9 ) ...
Sayfa 7
... function u ( r , ) . We now examine what properties are possessed by V , the image of the set U under the correspondence definable by ( 5 ) . Theorem 2 : The image V of U under ( 5 ) has the following properties : 10. The functions Mv ...
... function u ( r , ) . We now examine what properties are possessed by V , the image of the set U under the correspondence definable by ( 5 ) . Theorem 2 : The image V of U under ( 5 ) has the following properties : 10. The functions Mv ...
Sayfa 17
... function of r and √r - s ( r , s ) . In addition , S in D together with ( 10a ) ак ( s , s ) = TSV ( S , S ) • 1 Differentiating equation ( 8 ) with respect to sides of the equation by Q ( s ... r The set of functions u ( r , Y ) - 17 - -
... function of r and √r - s ( r , s ) . In addition , S in D together with ( 10a ) ак ( s , s ) = TSV ( S , S ) • 1 Differentiating equation ( 8 ) with respect to sides of the equation by Q ( s ... r The set of functions u ( r , Y ) - 17 - -
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