Unique solvability of a linear problem with perturbed periodic boundary values |
| |
Authors: | Bahman Mehri Mohammad H Nojumi |
| |
Institution: | (1) Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran |
| |
Abstract: | We investigate the problem with perturbed periodic boundary values with a
2, a
1, a
0 C0, 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 physical signals and quantities (amplitude, velocity, acceleration, curvature, etc.) experience. |
| |
Keywords: | Ordinary differential equations integral equations periodic boundary value problems |
本文献已被 SpringerLink 等数据库收录! |
|