Iterative Ordinary Differential Equations on Semi-Infinite Domain
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Abstract
There are two types of iterative differential equations, iterative ordinary differential equation and iterative partial differential equation. In this paper, we will concentrate on iterative ordinary differential equation on the semi-infinite domain [0,∞). Podisuk4 proved the existence and uniqueness of the solution of the iterative ordinary differential equation in the closed interval [0,a]. Podisuk6 also proved the existence and uniqueness of the solution of the simple iterative ordinary differential equation on the semi-infinite domain [0,∞). In this paper, we will give a proof of existence and uniqueness of the solution of the iterative ordinary differential equation on the semi-infinite domain [0,∞).
Keywords: iterative, ordinary, differential, equation, semi-infinite domain
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References
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[3] Andrzej, P. 1971 On Some Iterative-Differential Equation I, Zeszyty Naukowe UJ, Prace Mat, 15, 125-130.
[4] Podisuk, M. 1993 On Iterative Ordinary Differential Equations, Journal of Science Society of Thailand, 19, 143-150.
[5] Podisuk, M. 1993 Iterative Partial Differential Equations, Journal of Science Society of Thailand, 19, 151-156.
[6] Podisuk, M. 2002 On Simple Iterative Ordinary Differential Equations, Science Asia 28, 191-198.
[7] Podisuk, M., Suchatvejpoom, S. and Chaisanit, P. 2003 On Numerical Methods for Solving Iterative Ordinary Differential Equations, KMITL Science Journal, 3(1).