This paper is a study of the oscillatory and asymptotic behaviour of solutions of the second order nonhomogeneous linear differential equation y"+P(x)y=f(x), an
In this paper, some kinds of singular integral equations of Hilbert kernel with convolution will be set up and discussed. The general solution and conditions of
The main result of this note is as follows: Let M=∈SL(2,Z) be hyperbolic. Then the Atiyah’s invariant η(M)=-sign (trac (M))|m (M) Ψ_o (M), whore m(Mr) is th