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Article Citation - WoS: 1Citation - Scopus: 2Existence of Solutions for Third Order Multi Point Impulsive Boundary Value Problems on Time Scales(Univ Miskolc inst Math, 2022) Georgiev, Svetlin G.; Akgol, Sibel D.; Kus, M. EymenIn this paper, we obtain sufficient conditions for existence of solutions of a third order m-point impulsive boundary value problem on time scales. To the best of our knowledge, there is hardly any work dealing with third order multi point dynamic impulsive BVPs. The reason may be the complex arguments caused by both impulsive perturbations and calculations on time scales. As an application, we give an example demonstrating our results.Article Citation - WoS: 2Citation - Scopus: 2The Taylor Series Method of Order p and Adams-Bashforth Method on Time Scales(Wiley, 2023) Georgiev, Svetlin G.; Erhan, Inci M.A recent study on the Taylor series method of second order and the trapezoidal rule for dynamic equations on time scales has been continued by introducing a derivation of the Taylor series method of arbitrary order p$$ p $$ on time scales. The error and convergence analysis of the method is also obtained. The 2-step Adams-Bashforth method for dynamic equations on time scales is concluded and applied to examples of initial value problems for nonlinear dynamic equations. Numerical results are presented and discussed.
