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- Title
Solution to a Singular Integro-Differential Equation.
- Authors
Pandey, J. N.; Seifeddine, Fayez
- Abstract
In this paper we find a method of solving a singular integro-differential equation of the type dy/dt + a(t)Hy = f(t) (1) in the space of semi-almost periodic distributions where a(t) and f(t) are almost periodic functions on the real line composed of trigonometric polynomials with finitely many terms and the operator H the operator of Hilbert transform. Solution to (1) when a(t), f(t) are any a .p. function remains an open problem.
- Subjects
INTEGRO-differential equations; PERIODIC functions; HILBERT transform; INTEGRAL transforms; MATHEMATICAL analysis; MATHEMATICS
- Publication
Journal of Computational Analysis & Applications, 2010, Vol 12, Issue 1A, p321
- ISSN
1521-1398
- Publication type
Article