All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 6 Next

Displaying 101 – 120 of 127

Showing per page

Unique solvability of a linear problem with perturbed periodic boundary values

Bahman Mehri, Mohammad H. Nojumi (1999)

Czechoslovak Mathematical Journal

We investigate the problem with perturbed periodic boundary values y ' ' ' ( x ) + a 2 ( x ) y ' ' ( x ) + a 1 ( x ) y ' ( x ) + a 0 ( x ) y ( x ) = f ( x ) , y ( i ) ( T ) = c y ( i ) ( 0 ) , i = 0 , 1 , 2 ; 0 < c < 1 with a 2 , a 1 , a 0 ∈ C [ 0 , T ] for some arbitrary positive real number T , by transforming the problem into an integral equation with the aid of a piecewise polynomial and utilizing the Fredholm alternative theorem to obtain a condition on the uniform norms of the coefficients a 2 , a 1 and a 0 which guarantees unique solvability of the problem. Besides having theoretical value, this problem has also important applications since decay is a phenomenon that all...

Universality of the best determined terms method

Jiří Neuberg (1979)

Aplikace matematiky

The properties are studied of the best determined terms method with respect to an a priori decomposition R ( T ) . The universal approximation to the normal solution of the first kind Fredholm integral equation is found.

Currently displaying 101 – 120 of 127