Successive approximations to solutions of dynamic equations on time scales
نویسندگان
چکیده
In this paper we establish the method of successive approximations within the field of “dynamic equations on time scales”. Our introduction and application of the method leads to new results concerning the qualitative and quantitative properties of solutions to nonlinear dynamic equations on time scales. The new discoveries include sufficient conditions under which we conclude: existence; uniqueness; and approximation of solutions. We also obtain some comparison results for solutions to dynamic equations; and obtain a relationship between the exponential function on a time scale and the classical exponential function.
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تاریخ انتشار 2010