Integro-differential equations of dipole antennas. Theory and methods of computation

The paper deals with to the integro-differential equations of dipole antennas with an exact singular kernel. The theory of integro-differential equations is developed. Theorems of existence and uniquenesses are proved. Numerical and numerical-analytical methods of solution of integro-differential equations are proposed. Asymptotic estimations of convergence rates of approximate solutions to exact ones are obtained. Asymptotic methods of solution of the equations of thin wire antennas are developed.