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Application of the Taylor differential transformation for solving the integro-differential equations

100%

Grzymkowski R. , Pleszczyński M.

tom Vol. 8, iss. 1

33--48

A method of solving the integro-differential equations is presented. The discussed equations will be solved by the Taylor differential transformation. By using appropriate properties of this transformation the integro-differential equation will be transformed to a respective recurrence equation. Unfortunately, the high degree of generality and complexity of such defined problem does not allow to obtain the solution in general form. Each equation requires a special method of solution.

A note on the occurrence of integro-differential equations in engineering mechanics

100%

Pala Y. , Karadere G.

2003

tom Vol. 8, no 3

503-506

The study of dynamics of packages of mass m delivered from a conveyor to a smooth circular ramp of radius r is important in transport technology and engineering dynamics. The present paper is devoted to reanalysing this problem since the inclusion of frictional forces results in an integro-differential equation that in general needs the utilisation of Neumann-series. The integro-differential equation thus obtained is transformed into a first order differential equation that can easily be solved analytically.

On a nonlinear dynamic integrodifferential equation on time scales

80%

Pachpatte D. B.

tom Vol. 16, nr 2

279-294

The main objective of the present paper is to study some basic qualitative properties of solutions of a certain nonlinear integrodifferential equation on time scales. The tools employed in the analysis are based on the applications of the Banach fixed point theorem and a certain inequality with explicit estimate on time scales.